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Quantum migration and its local heat impact: Understanding local heat capacity of confined systems 量子迁移及其对局部热量的影响了解密闭系统的局部热容量
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.034112
Altug Sisman, Jonas Fransson
{"title":"Quantum migration and its local heat impact: Understanding local heat capacity of confined systems","authors":"Altug Sisman, Jonas Fransson","doi":"10.1103/physreve.110.034112","DOIUrl":"https://doi.org/10.1103/physreve.110.034112","url":null,"abstract":"For noninteracting particles confined in a constant volume, the temperature derivative of the local energy assumes negative values in thermodynamic equilibrium at low temperatures. This peculiar behavior may entail the misleading unphysical conclusion that the local heat capacity is negative. However, we show that temperature-dependent density variations of confined particles induce an energy selective particle transport within the domain, here called <i>temperature-induced quantum migration</i>. This macroscopic quantum phenomenon causes a redistribution of local heat and ensures a non-negative local heat capacity. Moreover, it induces local heating and cooling effects and a massive overshoot in local heat capacity. The quantum migration also builds up the thermal part of confinement energy, manifesting in an excess global heat capacity. Analyzing the local energy fluctuations shows that the linear relationship between heat capacity and fluctuations is broken at the local scale.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"15 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201052","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}
引用次数: 0
Simulation of the continuous time random walk using subordination schemes 利用从属方案模拟连续时间随机行走
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.034113
Danhua Jiang, Yuanze Hong, Wanli Wang
{"title":"Simulation of the continuous time random walk using subordination schemes","authors":"Danhua Jiang, Yuanze Hong, Wanli Wang","doi":"10.1103/physreve.110.034113","DOIUrl":"https://doi.org/10.1103/physreve.110.034113","url":null,"abstract":"The continuous time random walk model has been widely applied in various fields, including physics, biology, chemistry, finance, social phenomena, etc. In this work, we present an algorithm that utilizes a subordinate formula to generate data of the continuous time random walk in the long time limit. The algorithm has been validated using commonly employed observables, such as typical fluctuations of the positional distribution, rare fluctuations, the mean and the variance of the position, and breakthrough curves with time-dependent bias, demonstrating a perfect match.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"44 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201054","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}
引用次数: 0
Active particle motion in Poiseuille flow through rectangular channels 流经矩形水道的波瓦耶水流中的主动颗粒运动
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.034603
Rahil N. Valani, Brendan Harding, Yvonne M. Stokes
{"title":"Active particle motion in Poiseuille flow through rectangular channels","authors":"Rahil N. Valani, Brendan Harding, Yvonne M. Stokes","doi":"10.1103/physreve.110.034603","DOIUrl":"https://doi.org/10.1103/physreve.110.034603","url":null,"abstract":"We investigate the dynamics of a pointlike active particle suspended in fluid flow through a straight channel. For this particle-fluid system, we derive a constant of motion for a general unidirectional fluid flow and apply it to an approximation of Poiseuille flow through channels with rectangular cross- sections. We obtain a <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>4</mn><mi mathvariant=\"normal\">D</mi></mrow></math> nonlinear conservative dynamical system with one constant of motion and a dimensionless parameter describing the ratio of maximum flow speed to intrinsic active particle speed. Applied to square channels, we observe a diverse set of active particle trajectories with variations in system parameters and initial conditions which we classify into different types of swinging, trapping, tumbling, and wandering motion. Regular (periodic and quasiperiodic) motion as well as chaotic active particle motion are observed for these trajectories and quantified using largest Lyapunov exponents. We explore the transition to chaotic motion using Poincaré maps and show “sticky” chaotic tumbling trajectories that have long transients near a periodic state. We briefly illustrate how these results extend to rectangular cross-sections with a width-to-height ratio larger than one. Outcomes of this paper may have implications for dynamics of natural and artificial microswimmers in experimental microfluidic channels that typically have rectangular cross sections.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"6 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201053","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}
引用次数: 0
Long-time emergent dynamics of liquid films undergoing thermocapillary instability 经历热毛细管不稳定性的液体薄膜的长期突发动力学
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.035104
Steven A. Kedda, Michael C. Dallaston, Scott W. McCue
{"title":"Long-time emergent dynamics of liquid films undergoing thermocapillary instability","authors":"Steven A. Kedda, Michael C. Dallaston, Scott W. McCue","doi":"10.1103/physreve.110.035104","DOIUrl":"https://doi.org/10.1103/physreve.110.035104","url":null,"abstract":"The study of viscous thin film flow has led to the development of highly nonlinear partial differential equations that model how the evolution of the film height is affected by different forces. We investigate a model of interaction between surface tension and the thermocapillary Marangoni effect, with a particular focus on the long-time limit. In this limit, the model predicts the creation of an infinite cascade of successively smaller satellite droplets near points where the film thickness vanishes. Motivated by recent progress on the analysis of discrete self-similarity in thin film equations, we compute solutions in a space- and time-rescaled coordinate system. Using this rescaled system we observe the dynamics much further in time than has previously been achieved. The observed behavior is close to, but distinct from, previous observations of discretely self-similar thin film flows, in that the rescaled system does not settle down to a periodic solution, but instead has aspects that continue to evolve monotonically in scaled time. This discovery suggests there are as-yet unexplored ways in which discrete self-similarity may be exhibited.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"7 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201088","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}
引用次数: 0
Formation mechanism of radial and circular cracks promoted by delamination in drying silica colloidal deposits 干燥二氧化硅胶体沉积物分层促进径向和环向裂纹的形成机理
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.034801
Xujing Liu, Mengqi Liu, Yi Sun, Senjiang Yu, Yong Ni
{"title":"Formation mechanism of radial and circular cracks promoted by delamination in drying silica colloidal deposits","authors":"Xujing Liu, Mengqi Liu, Yi Sun, Senjiang Yu, Yong Ni","doi":"10.1103/physreve.110.034801","DOIUrl":"https://doi.org/10.1103/physreve.110.034801","url":null,"abstract":"Cracks with radial and circular patterns are appealing in nature and industry. Although morphologies and propagation conditions of cracks are extensively studied, the formation mechanism of crack pattern by the interaction of channel fracture and interfacial delamination remains elusive. Here, we present the transition of radial to coexisting radial and circular crack patterns when the thickness of colloidal deposits on both hard and soft substrates exceeds a critical value, through the colloidal volume fraction dependence. In addition, a thickness-dependent phase diagram from radial crack to coexistence of radial and circular cracks was constructed with respect to the radius and the volume fractions of silica colloidal deposits. A phase-field fracture model is developed to elucidate how the formation of radial cracks is facilitated by simultaneous delamination. The warping-induced radial tensile stress at the bottom surface of the striped deposit is proportional to the thickness. It leads to subsequent nucleation and growth of circular cracks in thick deposits. This work provides insight into the formation mechanism of complex crack patterns in drying colloidal deposits and revolutionizes the design space of crack-based micro-nano structures.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"11 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201128","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}
引用次数: 0
Pink-noise dynamics in an evolutionary game on a regular graph 正则图上进化博弈中的粉噪动力学
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-05 DOI: 10.1103/physreve.110.034110
Yuki Sakamoto, Masahito Ueda
{"title":"Pink-noise dynamics in an evolutionary game on a regular graph","authors":"Yuki Sakamoto, Masahito Ueda","doi":"10.1103/physreve.110.034110","DOIUrl":"https://doi.org/10.1103/physreve.110.034110","url":null,"abstract":"We consider a multiplayer prisoner's dilemma game on a square lattice and regular graphs based on the pairwise-Fermi update rule, and we obtain heatmaps of the fraction of cooperators and the correlation of neighboring pairs. In the heatmap, we find a mixed region where cooperators and defectors coexist, and the correlation between neighbors is significantly enhanced. Moreover, we observe pink-noise behavior in the mixed region, where the power spectrum can be fitted by a power-law function of frequency. We also find that the pink-noise behavior can be reproduced in a simple random-walk model. In particular, we propose a modified random-walk model which can reproduce not only the pink-noise behavior but also the deviation from it observed in a low-frequency region.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"59 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201051","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}
引用次数: 0
Robustly encoding certainty in a metastable neural circuit model 在易变神经回路模型中对确定性进行稳健编码
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-04 DOI: 10.1103/physreve.110.034404
Heather L. Cihak, Zachary P. Kilpatrick
{"title":"Robustly encoding certainty in a metastable neural circuit model","authors":"Heather L. Cihak, Zachary P. Kilpatrick","doi":"10.1103/physreve.110.034404","DOIUrl":"https://doi.org/10.1103/physreve.110.034404","url":null,"abstract":"Localized persistent neural activity can encode delayed estimates of continuous variables. Common experiments require that subjects store and report the feature value (e.g., orientation) of a particular cue (e.g., oriented bar on a screen) after a delay. Visualizing recorded activity of neurons along their feature tuning reveals activity <i>bumps</i> whose centers wander stochastically, degrading the estimate over time. Bump position therefore represents the remembered estimate. Recent work suggests bump amplitude may represent estimate certainty reflecting a probabilistic population code for a Bayesian posterior. Idealized models of this type are fragile due to the fine tuning common to constructed continuum attractors in dynamical systems. Here we propose an alternative metastable model for robustly supporting multiple bump amplitudes by extending neural circuit models to include <i>quantized</i> nonlinearities. Asymptotic projections of circuit activity produce low-dimensional evolution equations for the amplitude and position of bump solutions in response to external stimuli and noise perturbations. Analysis of reduced equations accurately characterizes phase variance and the dynamics of amplitude transitions between stable discrete values. More salient cues generate bumps of higher amplitude which wander less, consistent with experiments showing certainty correlates with more accurate memories.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"39 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201058","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}
引用次数: 0
Algebraic solitons in the massive Thirring model 大质量瑟林模型中的代数孤子
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-04 DOI: 10.1103/physreve.110.034202
Jiaqi Han, Cheng He, Dmitry E. Pelinovsky
{"title":"Algebraic solitons in the massive Thirring model","authors":"Jiaqi Han, Cheng He, Dmitry E. Pelinovsky","doi":"10.1103/physreve.110.034202","DOIUrl":"https://doi.org/10.1103/physreve.110.034202","url":null,"abstract":"We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Kaup-Newell spectral problem and attains the maximal mass among the family of solitary waves traveling with the same speed. By coalescence of speeds of the two algebraic solitons, we find a new solution for an algebraic double-soliton which corresponds to a double embedded eigenvalue. We show that the double-soliton attains the double mass of a single soliton and describes a slow interaction of two identical algebraic solitons.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"19 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201056","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}
引用次数: 0
Rosetta stone for the population dynamics of spiking neuron networks 尖峰神经元网络群体动力学的罗塞塔石碑
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-04 DOI: 10.1103/physreve.110.034303
Gianni V. Vinci, Maurizio Mattia
{"title":"Rosetta stone for the population dynamics of spiking neuron networks","authors":"Gianni V. Vinci, Maurizio Mattia","doi":"10.1103/physreve.110.034303","DOIUrl":"https://doi.org/10.1103/physreve.110.034303","url":null,"abstract":"Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cell membrane potentials) whose evolution fully capture the collective dynamics of biological networks, even outside equilibrium. Despite its general applicability, the Fokker-Planck equation governing such evolution is mainly studied within the borders of the linear response theory, although alternative spectral expansion approaches offer some advantages in the study of the out-of-equilibrium dynamics. This is mainly due to the difficulty in computing the state-dependent coefficients of the expanded system of differential equations. Here, we address this issue by deriving analytic expressions for such coefficients by pairing perturbative solutions of the Fokker-Planck approach with their counterparts from the spectral expansion. A tight relationship emerges between several of these coefficients and the Laplace transform of the interspike interval density (i.e., the distribution of first-passage times). “Coefficients” like the current-to-rate gain function, the eigenvalues of the Fokker-Planck operator and its eigenfunctions at the boundaries are derived without resorting to integral expressions. For the leaky integrate-and-fire neurons, the coupling terms between stationary and nonstationary modes are also worked out paving the way to accurately characterize the critical points and the relaxation timescales in networks of interacting populations.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"166 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201057","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}
引用次数: 0
Generalized Langevin subdiffusion in channels: The bath always wins 通道中的广义朗格文子扩散:浴场永远是赢家
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2024-09-03 DOI: 10.1103/physreve.110.034104
Eugene B. Postnikov, Igor M. Sokolov
{"title":"Generalized Langevin subdiffusion in channels: The bath always wins","authors":"Eugene B. Postnikov, Igor M. Sokolov","doi":"10.1103/physreve.110.034104","DOIUrl":"https://doi.org/10.1103/physreve.110.034104","url":null,"abstract":"We consider subdiffusive motion, modeled by the generalized Langevin equation in an equilibrium setting, of tracer particles in channels of indefinite length in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>x</mi></math> direction: the channels of varying width and the channels with sinusoidally meandering midline. The subdiffusion in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>x</mi></math> direction is not affected by constraints put by the channel. This is especially astonishing for meandering channels whose centerline might be quite long. The same behavior is seen in a holonomic model of a bead on a sinusoidal and meandering wire, where some analytic insights are possible.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"400 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142201090","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}
引用次数: 0
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