{"title":"Kardar-Parisi-Zhang growth in ɛ dimensions and beyond.","authors":"Timothy Halpin-Healy","doi":"10.1103/PhysRevE.111.014147","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014147","url":null,"abstract":"<p><p>We examine anew the relationship of directed polymers in random media on traditional hypercubic versus hierarchical lattices, with the goal of understanding the dimensionality dependence of the essential scaling index β at the heart of the Kardar-Parisi-Zhang universality class. A seemingly accurate, but entirely empirical, ansatz due to Perlsman and Schwartz, proposed many years ago, can be put in proper context by anchoring the connection between these distinct lattice types at vanishing dimensionality. We graft together complementary perturbative field-theoretic and nonperturbative real-space renormalization group tools to establish the necessary connection, thereby elucidating the central mystery underlying the ansatz's uncanny apparent success, but also revealing its intrinsic limitations. Furthermore, we perform an extensive Euler integration of the KPZ equation in 3+1 dimensions which, bolstered by a separate directed polymer simulation, allows us an estimate for the critical exponent β_{3+1}^{KPZ}=0.1845(4) that greatly improves upon all previous Monte Carlo calculations in this regard and rules out the Perlsman-Schwartz value, 0.1882^{+}, in that dimension. Finally, leveraging this hybrid RG partnership permits us a versatile, more potent, tool to explore the general KPZ problem across dimensions, as well as a conjecture for its key critical exponent, β=1/2-0.22967ɛ, as ɛ→0, testable in a three-loop calculation.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014147"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459044","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":"Ballistic modes as a source of anomalous charge noise.","authors":"Ewan McCulloch, Romain Vasseur, Sarang Gopalakrishnan","doi":"10.1103/PhysRevE.111.015410","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015410","url":null,"abstract":"<p><p>Steady-state currents generically occur both in systems with continuous translation invariance and in nonequilibrium settings with particle drift. In either case, thermal fluctuations advected by the current act as a source of noise for slower hydrodynamic modes. This noise is unconventional, since it is highly correlated along spacetime rays. We argue that, in quasi-one-dimensional geometries, the correlated noise from ballistic modes generically gives rise to anomalous full counting statistics (FCS) for diffusively spreading charges. We present numerical evidence for anomalous FCS in two settings: (1) a two-component continuum fluid and (2) the totally asymmetric exclusion process initialized in a nonequilibrium state.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015410"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459081","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}
Anna S Bodrova, Aleksei V Chechkin, Awadhesh Kumar Dubey
{"title":"Granular gases under resetting.","authors":"Anna S Bodrova, Aleksei V Chechkin, Awadhesh Kumar Dubey","doi":"10.1103/PhysRevE.111.015405","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015405","url":null,"abstract":"<p><p>We investigate the granular temperatures in force-free granular gases under exponential resetting. When a resetting event occurs, the granular temperature attains its initial value, whereas it decreases because of the inelastic collisions between the resetting events. We develop a theory and perform computer simulations for granular gas cooling in the presence of Poissonian resetting events. We also investigate the probability density function to quantify the distribution of granular temperatures. Our theory may help us to understand the behavior of nonperiodically driven granular systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015405"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459121","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":"Critical temperature of the classical XY model via autoencoder latent space sampling.","authors":"Brandon Willnecker, Mervlyn Moodley","doi":"10.1103/PhysRevE.111.015305","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015305","url":null,"abstract":"<p><p>The classical XY model has been consistently studied since it was introduced more than six decades ago. Of particular interest has been the two-dimensional spin model's exhibition of the Berezinskii-Kosterlitz-Thouless (BKT) transition. This topological phenomenon describes the transition from bound vortex-antivortex pairs at low temperatures to unpaired or isolated vortices and antivortices above some critical temperature. In this work we propose a machine learning based method to determine the emergence of this phase transition. Generating unique states can be difficult due to the U(1) symmetry present. We introduce an auxiliary field (analogous to a vortex density field) corresponding to a given state in order to eliminate the unwanted symmetry. An autoencoder was used to map these auxiliary fields into a lower-dimensional latent space. Samples were taken from this latent space to determine the thermal average of the vortex density, which was then used to determine the critical temperature of the phase transition.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015305"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459146","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}
Shahzeb Raja Noureen, Richard L Mort, Christian A Yates
{"title":"Modeling adhesion in stochastic and mean-field models of cell migration.","authors":"Shahzeb Raja Noureen, Richard L Mort, Christian A Yates","doi":"10.1103/PhysRevE.111.014419","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014419","url":null,"abstract":"<p><p>Adhesion between cells plays an important role in many biological processes such as tissue morphogenesis and homeostasis, wound healing, and cancer cell metastasis. From a mathematical perspective, adhesion between multiple cell types has been previously analyzed using discrete and continuum models, including the cellular Potts models and partial differential equations (PDEs). While these models can represent certain biological situations well, cellular Potts models can be computationally expensive, and continuum models capture only the macroscopic behavior of a population of cells, ignoring stochasticity and the discrete nature of cell dynamics. Cellular automaton models allow us to address these problems and can be used for a wide variety of biological systems. In this paper we consider a cellular automaton approach and develop an on-lattice agent-based model (ABM) for cell migration and adhesion in a population composed of two cell types. By deriving and comparing the corresponding PDEs to the ABM, we demonstrate that cell aggregation and cell sorting are not possible in the PDE model. Therefore, we propose a set of discrete mean equations which better capture the behavior of the ABM in one and two dimensions.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014419"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459148","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}
Henrik Kiefer, Domenico Vitali, Benjamin A Dalton, Laura Scalfi, Roland R Netz
{"title":"Effect of frequency-dependent shear and volume viscosities on molecular friction in liquids.","authors":"Henrik Kiefer, Domenico Vitali, Benjamin A Dalton, Laura Scalfi, Roland R Netz","doi":"10.1103/PhysRevE.111.015104","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.015104","url":null,"abstract":"<p><p>The relation between the frequency-dependent friction of a molecule in a liquid and the hydrodynamic properties of the liquid is fundamental for molecular dynamics. We investigate this connection for a water molecule moving in liquid water using all-atomistic molecular dynamics (MD) simulations and linear hydrodynamic theory. We analytically calculate the frequency-dependent friction of a sphere with finite surface slip moving in a viscoelastic compressible fluid by solving the linear transient Stokes equation, including frequency-dependent shear and volume viscosities, both determined from MD simulations of bulk liquid water. From MD simulation trajectories, we also determine the frequency-dependent friction of a single water molecule moving in liquid water, as defined by the generalized Langevin equation. The frequency dependence of the shear viscosity of liquid water requires careful consideration of hydrodynamic finite-size effects to observe the asymptotic hydrodynamic power-law tail. By fitting the effective sphere radius and the slip length, the frequency-dependent friction and velocity autocorrelation function from the transient Stokes equation and simulations quantitatively agree. This shows that the transient Stokes equation accurately describes the important features of the frequency-dependent friction of a single water molecule in liquid water and thus applies down to molecular length and time scales, provided accurate frequency-dependent viscosities are used. In contrast, for a methane molecule moving in water, the frequency-dependent friction cannot be predicted based on a homogeneous model, which, supported by the extraction of the frequency-dependent surface slip, suggests that a methane molecule is surrounded by a finite-thickness hydration layer with viscoelastic properties that differ significantly from those of bulk water.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"015104"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459151","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":"Coupling-induced tunable oscillations in loops of even-numbered bistable systems.","authors":"Haowen Wan, Huaping Lü, Xiaoming Liang","doi":"10.1103/PhysRevE.111.014226","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014226","url":null,"abstract":"<p><p>Negative couplings and suitable initial conditions can induce asymmetric repulsions in feedback loops of odd-numbered overdamped bistable oscillators, allowing them to switch between stable fixed points and produce sustained oscillations that resemble traveling waves [Phys. Rev. E 68, 045102(R) (2003)1063-651X10.1103/PhysRevE.68.045102]. This study shows that changing negative couplings to positive ones can create symmetric attractions among even-numbered overdamped bistable oscillators, leading to similar travelinglike oscillations. We employ a simple two-state model to elucidate the symmetric initial conditions required for these oscillations and estimate the necessary ranges of coupling strength to maintain them. Additionally, we analyze the relationships between oscillation amplitude and frequency regarding the coupling strength and the model parameter, which are consistent with our numerical results. Our findings enhance the understanding of coupling-induced oscillations.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014226"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459152","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":"Erratum: Evidence that the de Almeida-Thouless transition disappears below six dimensions [Phys. Rev. E 110, 054131 (2024)].","authors":"Bharadwaj Vedula, M A Moore, Auditya Sharma","doi":"10.1103/PhysRevE.111.019902","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.019902","url":null,"abstract":"<p><p>This corrects the article DOI: 10.1103/PhysRevE.110.054131.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-2","pages":"019902"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459163","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}
Janni Harju, Joris J B Messelink, Chase P Broedersz
{"title":"Multicontact statistics distinguish models of chromosome organization.","authors":"Janni Harju, Joris J B Messelink, Chase P Broedersz","doi":"10.1103/PhysRevE.111.014403","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014403","url":null,"abstract":"<p><p>Chromosome organization can be modeled using various approaches, ranging from mechanistic bottom-up models to models inferred directly from experimental data. Many such models can recapitulate experimental Hi-C data for pairwise contact probabilities, meaning that these data cannot always be used to distinguish different models. Here, we consider two illustrative example models for bacterial chromosome organization: one a bottom-up model for loop extrusion, the other a data-driven maximum entropy model inferred from Hi-C data. We find that despite predicting similar pairwise contact frequencies, the models predict qualitatively different features on three-point contact maps. We explain these differences by constructing analytical approximations for three-point contact probabilities in each model. Finally, we apply our analytical approximations to previously published experimental multicontact data from human chromosomes, and find that these data are well described by the loop extruder approximation. Our work illustrates how multicontact statistics can be used to compare and test models for chromosome organization.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014403"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459170","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":"Diffusion of active particles driven by odd interactions.","authors":"Rui-Xue Guo, Jia-Jian Li, Bao-Quan Ai","doi":"10.1103/PhysRevE.111.014105","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.014105","url":null,"abstract":"<p><p>Odd systems do not conserve energy, violate time-reversal symmetry, and remain far from equilibrium. How odd interactions between particles affect their diffusion remains unknown. To investigate this issue, we studied the diffusion and glass transition of a two-dimensional Kob-Andersen mixture, where Brownian particles interact via the Lennard-Jones potential and nonconservative odd forces. Our findings indicate a significant influence of odd interactions on the system's diffusion dynamics. Odd interactions always promote diffusion. These interactions lead to a nonmonotonic relationship between the effective diffusion coefficient and particle number density. Specifically, in systems with low oddness, the diffusion coefficient decreases steadily with increasing particle number density. Conversely, in systems with moderate oddness, an optimal particle number density exists that maximizes the diffusion coefficient. For systems with high oddness, we observe two distinct peaks in the diffusion coefficient-particle number density relationship. Furthermore, our investigation into the glass transition under dense conditions reveals that adjusting the oddness at low temperatures can induce a transition from a glassy state to a liquid state. Our findings offer a deeper insight into the diffusion processes in systems with odd interactions from a critical perspective.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"111 1-1","pages":"014105"},"PeriodicalIF":2.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143459240","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}