Journal of Statistical Mechanics: Theory and Experiment最新文献

{"title":"Boundary symmetry breaking of flocking systems","authors":"Leonardo Lenzini, Giuseppe Fava, Francesco Ginelli","doi":"10.1088/1742-5468/ad6c2e","DOIUrl":"https://doi.org/10.1088/1742-5468/ad6c2e","url":null,"abstract":"We consider a flocking system confined transversally between two infinite reflecting parallel walls separated by a distance <inline-formula>\u0000<tex-math><?CDATA $L_perp$?></tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mo>⊥</mml:mo></mml:msub></mml:mrow></mml:math><inline-graphic xlink:href=\"jstatad6c2eieqn1.gif\"></inline-graphic></inline-formula>. Infinite or periodic boundary conditions are assumed longitudinally to the direction of collective motion, defining a ring geometry typical of experimental realizations with flocking active colloids. Such a confinement selects a flocking state with its mean direction aligned parallel to the wall, thus breaking explicitly the rotational symmetry locally by a boundary effect. Finite size scaling analysis and numerical simulations show that confinement induces an effective mass term <inline-formula>\u0000<tex-math><?CDATA ${M_c} sim L_perp^{-zeta}$?></tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow><mml:mo>∼</mml:mo><mml:msubsup><mml:mi>L</mml:mi><mml:mo>⊥</mml:mo><mml:mrow><mml:mo>−</mml:mo><mml:mi>ζ</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math><inline-graphic xlink:href=\"jstatad6c2eieqn2.gif\"></inline-graphic></inline-formula> (with positive <italic toggle=\"yes\">ζ</italic> being equal to the dynamical scaling exponent of the free theory) suppressing scale free correlations at small wave-numbers. However, due to the finite system size in the transversal direction, this effect can only be detected for large enough longitudinal system sizes (i.e. narrow ring geometries). Furthermore, in the longitudinal direction, density correlations are characterized by an anomalous effective mass term. The effective mass term also enhances the global scalar order parameter and suppresses fluctuations of the mean flocking direction. These results suggest an equivalence between transversal confinement and driving by an homogeneous external field, which breaks the rotational symmetry at the global level.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Effects of phase separation on extinction times in population models","authors":"Janik Schüttler, Robert L Jack, Michael E Cates","doi":"10.1088/1742-5468/ad5c59","DOIUrl":"https://doi.org/10.1088/1742-5468/ad5c59","url":null,"abstract":"We study the effect of phase-separating diffusive dynamics on the mean time to extinction (MTE) in several reaction-diffusion models with slow reactions. We consider a continuum theory similar to model AB, and a simple model where individual particles on two sites undergo on-site reactions and hopping between the sites. In the slow-reaction limit, we project the models’ dynamics onto suitable one-dimensional reaction coordinates, which allows the derivation of quasi-equilibrium effective free energies. For weak noise, this enables characterisation of the MTE. This time can be enhanced or suppressed by the addition of phase separation, compared with homogeneous reference cases. We discuss how Allee effects can be affected by phase separation, including situations where the tendency to phase-separate renders an otherwise stable population unstable.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The impact of crystal grain size on the behavior of disordered ferromagnetic systems: from thin to bulk geometry","authors":"Djordje Spasojević, Sanja Janićević","doi":"10.1088/1742-5468/ad6977","DOIUrl":"https://doi.org/10.1088/1742-5468/ad6977","url":null,"abstract":"We report the findings of an extensive and systematic study on the effect of crystal grain size on the response of field-driven disordered ferromagnetic systems with thin, intermediate, and bulk geometry. For numerical modeling we used the athermal nonequilibrium variant of the random field Ising model simulating the systems with tightly packed and uniformly cubic-shaped, magnetically exchange-coupled crystal grains, conducted over a wide range of grain sizes. Together with the standard hysteresis loop characterizations, we offer an in-depth examination of the avalanching response of the system, estimating the effective grain-size-related exponents by analyses of the distributions of various avalanche parameters, average avalanche shape and size, and power spectra. Our results demonstrate that grain size plays an important role in the behavior of the system, outweighing the effect of its geometry. For sufficiently small grains, the characteristics of the system response are largely unaffected by grain size; however, for larger grains, the effects become more noticeable and show up as distinct asymmetry in the magnetization susceptibilities and average avalanche shapes, as well as characteristic kinks in the distributions of avalanche parameters, susceptibilities, and magnetizations for the largest grain sizes. Our insights, unveiling the sensitivity of the system’s response to the underlying structure in terms of crystal grain size, may prove beneficial in interpreting and analyzing experimental results obtained from driven disordered ferromagnetic samples of different geometries, as well as in extending the range of possible applications.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A modified social force model considering collision avoidance based on empirical studies","authors":"Weisong Liu, Jun Zhang, Abdul Rahim Rasa, Weiguo Song","doi":"10.1088/1742-5468/ad65e4","DOIUrl":"https://doi.org/10.1088/1742-5468/ad65e4","url":null,"abstract":"<title>\u0000<bold>Abstract</bold>\u0000</title>Avoiding collisions between pedestrians is not based solely on geometric approaches, but also involves human social conventions. Previous collision avoidance models on pedestrians often overlooked the significance of personal space and intrusion variations of intruders such as intrusion angles, intrusion extents and danger levels. The avoidance behavior of pedestrians is affected by the relative position, movement direction and distance from their initial position to the path intersection point with the intruders. To build and calibrate a pedestrian avoidance model, virtual reality and realistic experiments with dynamic and static intruders were conducted under different conditions. The critical avoidance boundary, avoidance process function and probability of avoidance side are analyzed from the experiments. Through a comparative analysis, the differences between personal and geometric space required for avoidance were identified. Moreover, an avoidance model that calculates the steering angle based on the kinematic constraints and relative position of intruders is incorporated into the social force model in this study. It successfully replicates pedestrian avoidance behavior when faced with both static and dynamic intruders, and offers a valuable tool for addressing complex pedestrian movements in highly competitive spatial environments.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quenches in the Sherrington–Kirkpatrick model","authors":"Vittorio Erba, Freya Behrens, Florent Krzakala, Lenka Zdeborová","doi":"10.1088/1742-5468/ad685a","DOIUrl":"https://doi.org/10.1088/1742-5468/ad685a","url":null,"abstract":"The Sherrington–Kirkpatrick model is a prototype of a complex non-convex energy landscape. Dynamical processes evolving on such landscapes and locally aiming to reach minima are generally poorly understood. Here, we study quenches, i.e. dynamics that locally aim to decrease energy. We analyse the energy at convergence for two distinct algorithmic classes, single-spin flip and synchronous dynamics, focusing on greedy and reluctant strategies. We provide precise numerical analysis of the finite size effects and conclude that, perhaps counter-intuitively, the reluctant algorithm is compatible with converging to the ground state energy density, while the greedy strategy is not. Inspired by the single-spin reluctant and greedy algorithms, we investigate two synchronous time algorithms, the sync-greedy and sync-reluctant algorithms. These synchronous processes can be analysed using dynamical mean field theory (DMFT), and a new backtracking version of DMFT. Notably, this is the first time the backtracking DMFT is applied to study dynamical convergence properties in fully connected disordered models. The analysis suggests that the sync-greedy algorithm can also achieve energies compatible with the ground state, and that it undergoes a dynamical phase transition.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The precursor of the critical transitions in majority vote model with the noise feedback from the vote layer","authors":"Wei Liu, Jincheng Wang, Fangfang Wang, Kai Qi, Zengru Di","doi":"10.1088/1742-5468/ad6426","DOIUrl":"https://doi.org/10.1088/1742-5468/ad6426","url":null,"abstract":"In this paper, we investigate phase transitions in the majority-vote model coupled with noise layers of different structures. We examine the square lattice and random-regular networks, as well as their combinations, for both vote layers and noise layers. Our findings reveal the presence of independent third-order transitions in all cases and dependent third-order transitions when critical transitions occur. This suggests that dependent third-order transitions may serve as precursors to critical transitions in non-equilibrium systems. Furthermore, we observe that when the structure of vote layers is decentralized, the coupling between the vote layer and the noise layer leads to the absence of critical phenomena.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Markov generators as non-Hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and singular value decompositions","authors":"Cécile Monthus","doi":"10.1088/1742-5468/ad613a","DOIUrl":"https://doi.org/10.1088/1742-5468/ad613a","url":null,"abstract":"Continuity equations associated with continuous-time Markov processes can be considered as Euclidean Schrödinger equations, where the non-Hermitian quantum Hamiltonian &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $boldsymbol{H} = {mathbf{div}}{boldsymbol{J}}$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;H&lt;/mml:mi&gt;&lt;mml:mo&gt;=&lt;/mml:mo&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold\"&gt;div&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;J&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad613aieqn1.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; is naturally factorized into the product of the divergence operator &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA ${mathbf{div}}$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold\"&gt;div&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad613aieqn2.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; and the current operator &lt;bold&gt;\u0000&lt;italic toggle=\"yes\"&gt;J&lt;/italic&gt;\u0000&lt;/bold&gt;. For non-equilibrium Markov jump processes in a space of &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt; configurations with &lt;italic toggle=\"yes\"&gt;M&lt;/italic&gt; links and &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $C = M-(N-1)unicode{x2A7E} 1$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;C&lt;/mml:mi&gt;&lt;mml:mo&gt;=&lt;/mml:mo&gt;&lt;mml:mi&gt;M&lt;/mml:mi&gt;&lt;mml:mo&gt;−&lt;/mml:mo&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;mml:mo&gt;−&lt;/mml:mo&gt;&lt;mml:mn&gt;1&lt;/mml:mn&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;mml:mtext&gt;⩾&lt;/mml:mtext&gt;&lt;mml:mn&gt;1&lt;/mml:mn&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad613aieqn3.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; independent cycles, this factorization of the &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt; × &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt; Hamiltonian &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA ${boldsymbol{H}} = {boldsymbol{I}}^{dagger}{boldsymbol{J}}$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;H&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mo&gt;=&lt;/mml:mo&gt;&lt;mml:msup&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;I&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mo&gt;†&lt;/mml:mo&gt;&lt;/mml:mrow&gt;&lt;/mml:msup&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;J&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad613aieqn4.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; involves the incidence matrix &lt;bold&gt;\u0000&lt;italic toggle=\"yes\"&gt;I&lt;/italic&gt;\u0000&lt;/bold&gt; and the current matrix &lt;bold&gt;\u0000&lt;italic toggle=\"yes\"&gt;J&lt;/italic&gt;\u0000&lt;/bold&gt; of size &lt;italic toggle=\"yes\"&gt;M&lt;/italic&gt; × &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt;, so that the supersymmetric partner &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA ${hat{boldsymbol{H}}} = {boldsymbol{J}}{boldsymbol{I}}^{dagger}$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mover&gt;&lt;mml:mi mathvariant=\"bold-italic\"&gt;H&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"true\"&gt;^&lt;/mml:mo&gt;&lt;/mml:mover&gt;&lt;/mml:mrow&gt;&lt;/mml:mrow&gt;&lt;mml:mo&gt;=&lt;/mml:mo&gt;&lt;mml:mrow&gt;&lt;mml:mi mathvariant=\"bold","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Full counting statistics of 1d short range Riesz gases in confinement","authors":"Jitendra Kethepalli, Manas Kulkarni, Anupam Kundu, Satya N Majumdar, David Mukamel, Grégory Schehr","doi":"10.1088/1742-5468/ad66c5","DOIUrl":"https://doi.org/10.1088/1742-5468/ad66c5","url":null,"abstract":"We investigate the full counting statistics of a harmonically confined 1d short range Riesz gas consisting of &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt; particles in equilibrium at finite temperature. The particles interact with each other through a repulsive power-law interaction with an exponent &lt;italic toggle=\"yes\"&gt;k&lt;/italic&gt; &gt; 1 which includes the Calogero–Moser model for &lt;italic toggle=\"yes\"&gt;k&lt;/italic&gt; = 2. We examine the probability distribution of the number of particles in a finite domain &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $[-W, W]$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mo stretchy=\"false\"&gt;[&lt;/mml:mo&gt;&lt;mml:mo&gt;−&lt;/mml:mo&gt;&lt;mml:mi&gt;W&lt;/mml:mi&gt;&lt;mml:mo&gt;,&lt;/mml:mo&gt;&lt;mml:mi&gt;W&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;]&lt;/mml:mo&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad66c5ieqn1.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; called number distribution, denoted by &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $mathcal{N}(W, N)$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;W&lt;/mml:mi&gt;&lt;mml:mo&gt;,&lt;/mml:mo&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad66c5ieqn2.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt;. We analyze the probability distribution of &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $mathcal{N}(W, N)$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;W&lt;/mml:mi&gt;&lt;mml:mo&gt;,&lt;/mml:mo&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad66c5ieqn3.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; and show that it exhibits a large deviation form for large &lt;italic toggle=\"yes\"&gt;N&lt;/italic&gt; characterized by a speed &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $N^{frac{3k+2}{k+2}}$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:msup&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;mml:mrow&gt;&lt;mml:mfrac&gt;&lt;mml:mrow&gt;&lt;mml:mn&gt;3&lt;/mml:mn&gt;&lt;mml:mi&gt;k&lt;/mml:mi&gt;&lt;mml:mo&gt;+&lt;/mml:mo&gt;&lt;mml:mn&gt;2&lt;/mml:mn&gt;&lt;/mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;k&lt;/mml:mi&gt;&lt;mml:mo&gt;+&lt;/mml:mo&gt;&lt;mml:mn&gt;2&lt;/mml:mn&gt;&lt;/mml:mrow&gt;&lt;/mml:mfrac&gt;&lt;/mml:mrow&gt;&lt;/mml:msup&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad66c5ieqn4.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; and by a large deviation function (LDF) of the fraction &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $c = mathcal{N}(W, N)/N$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;c&lt;/mml:mi&gt;&lt;mml:mo&gt;=&lt;/mml:mo&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;W&lt;/mml:mi&gt;&lt;mml:mo&gt;,&lt;/mml:mo&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;mml:mrow&gt;&lt;mml:mo&gt;/&lt;/mml:mo&gt;&lt;/mml:mrow&gt;&lt;mml:mi&gt;N&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad66c5ieqn5.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; of the particles inside the domain and &lt;italic toggle=\"yes\"&gt;W&lt;/italic&gt;. We show that the density profiles ","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic fluctuations of current and mass in nonequilibrium mass transport processes","authors":"Animesh Hazra, Anirban Mukherjee, Punyabrata Pradhan","doi":"10.1088/1742-5468/ad5c56","DOIUrl":"https://doi.org/10.1088/1742-5468/ad5c56","url":null,"abstract":"We study steady-state dynamic fluctuations of current and mass in several variants of random average processes on a ring of &lt;italic toggle=\"yes\"&gt;L&lt;/italic&gt; sites. These processes violate detailed balance in the bulk and have nontrivial spatial structures: their steady states are not described by the Boltzmann–Gibbs distribution and can have nonzero spatial correlations. Using a microscopic approach, we exactly calculate the second cumulants, or the variance, &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $langle mathcal{Q}_i^2(T) rangle_c$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟨&lt;/mml:mo&gt;&lt;mml:msubsup&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;Q&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mi&gt;i&lt;/mml:mi&gt;&lt;mml:mn&gt;2&lt;/mml:mn&gt;&lt;/mml:msubsup&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;T&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;mml:msub&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟩&lt;/mml:mo&gt;&lt;mml:mi&gt;c&lt;/mml:mi&gt;&lt;/mml:msub&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad5c56ieqn1.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; and &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $langle mathcal{Q}_{textrm{sub}}^2(l, T) rangle_c$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟨&lt;/mml:mo&gt;&lt;mml:msubsup&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;Q&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mrow&gt;&lt;mml:mtext&gt;sub&lt;/mml:mtext&gt;&lt;/mml:mrow&gt;&lt;mml:mn&gt;2&lt;/mml:mn&gt;&lt;/mml:msubsup&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;l&lt;/mml:mi&gt;&lt;mml:mo&gt;,&lt;/mml:mo&gt;&lt;mml:mi&gt;T&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;mml:msub&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟩&lt;/mml:mo&gt;&lt;mml:mi&gt;c&lt;/mml:mi&gt;&lt;/mml:msub&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad5c56ieqn2.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt;, of cumulative (time-integrated) currents up to time &lt;italic toggle=\"yes\"&gt;T&lt;/italic&gt; across the &lt;italic toggle=\"yes\"&gt;i&lt;/italic&gt;th bond and across a subsystem of size &lt;italic toggle=\"yes\"&gt;l&lt;/italic&gt; (summed over bonds in the subsystem), respectively. We also calculate the (two-point) dynamic correlation function of the subsystem mass. In particular, we show that, for large &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $L gg 1$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;L&lt;/mml:mi&gt;&lt;mml:mo&gt;≫&lt;/mml:mo&gt;&lt;mml:mn&gt;1&lt;/mml:mn&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad5c56ieqn3.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt;, the second cumulant &lt;inline-formula&gt;\u0000&lt;tex-math&gt;&lt;?CDATA $langle mathcal{Q}_i^2(T) rangle_c$?&gt;&lt;/tex-math&gt;\u0000&lt;mml:math overflow=\"scroll\"&gt;&lt;mml:mrow&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟨&lt;/mml:mo&gt;&lt;mml:msubsup&gt;&lt;mml:mrow&gt;&lt;mml:mi&gt;Q&lt;/mml:mi&gt;&lt;/mml:mrow&gt;&lt;mml:mi&gt;i&lt;/mml:mi&gt;&lt;mml:mn&gt;2&lt;/mml:mn&gt;&lt;/mml:msubsup&gt;&lt;mml:mo stretchy=\"false\"&gt;(&lt;/mml:mo&gt;&lt;mml:mi&gt;T&lt;/mml:mi&gt;&lt;mml:mo stretchy=\"false\"&gt;)&lt;/mml:mo&gt;&lt;mml:msub&gt;&lt;mml:mo fence=\"false\" stretchy=\"false\"&gt;⟩&lt;/mml:mo&gt;&lt;mml:mi&gt;c&lt;/mml:mi&gt;&lt;/mml:msub&gt;&lt;/mml:mrow&gt;&lt;/mml:math&gt;\u0000&lt;inline-graphic xlink:href=\"jstatad5c56ieqn4.gif\" xlink:type=\"simple\"&gt;&lt;/inline-graphic&gt;\u0000&lt;/inline-formula&gt; of the cumulative current up to time &lt;italic ","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Markovian description of a wide class of feedback-controlled systems: application to the feedback flashing ratchet","authors":"Natalia Ruiz-Pino, Antonio Prados","doi":"10.1088/1742-5468/ad64bb","DOIUrl":"https://doi.org/10.1088/1742-5468/ad64bb","url":null,"abstract":"In feedback-controlled systems, an external agent—the feedback controller—measures the state of the system and modifies its subsequent dynamics depending on the outcome of the measurement. In this paper, we build a Markovian description for the joint stochastic process that comprises both the system and the controller variables. This Markovian description is valid for a wide class of feedback-controlled systems, allowing for the inclusion of errors in the measurement. The general framework is motivated and illustrated with the paradigmatic example of the feedback flashing ratchet.","PeriodicalId":17207,"journal":{"name":"Journal of Statistical Mechanics: Theory and Experiment","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}