{"title":"Breakdown of linear response induced by velocity-dependent stochastic resetting.","authors":"Yuto Takeishi, Takuma Akimoto","doi":"10.1103/nw4g-gs6q","DOIUrl":"https://doi.org/10.1103/nw4g-gs6q","url":null,"abstract":"<p><p>Linear response theory lies at the foundation of transport phenomena, predicting that physical systems respond proportionally to weak external forces. Here, we show that this principle can break down in a minimal nonequilibrium setting due to state-dependent stochastic resetting. We consider a Langevin particle driven by a constant external force F and subject to a velocity-dependent resetting rate r(v)=λ|v|^{α}, where α controls the velocity dependence of the resetting. We derive the exact steady-state velocity distribution and establish a moment balance relation that links external driving, viscous dissipation, and resetting-induced dissipation. This relation reveals that the response is controlled by a nonlinear coupling between the velocity and the resetting rate, leading to nonlinear transport. In the deterministic limit without friction and diffusion, the mean velocity obeys the exact power law 〈v〉∝F^{1/(α+1)} at all force strengths. In the presence of friction or velocity diffusion with α>0, linear response is recovered at weak driving, followed by a crossover to the same nonlinear scaling at strong driving. Our results provide a solvable example in which linear response fails at the level of the leading-order behavior and identify velocity-dependent resetting as a minimal dynamical mechanism for generating nonlinear transport in nonequilibrium steady states. More broadly, they suggest a framework for understanding transport in stochastic systems with feedback or environment-dependent dynamics.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034141"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207570","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}
Charles J Edelson, Sima Setayeshgar, William Bialek, Rob R de Ruyter van Steveninck
{"title":"Context-dependent adaptation in a neural computation.","authors":"Charles J Edelson, Sima Setayeshgar, William Bialek, Rob R de Ruyter van Steveninck","doi":"10.1103/x56k-n2hb","DOIUrl":"https://doi.org/10.1103/x56k-n2hb","url":null,"abstract":"<p><p>Brains adapt to the statistical structure of their input. In the visual system, local light intensities change rapidly, the variance of the intensity changes more slowly, and the dynamic range of contrast itself changes more slowly still. We use a motion-sensitive neuron in the fly visual system to probe this hierarchy of adaptation phenomena, delivering naturalistic stimuli that have been simplified to have a clear separation of timescales. We show that the neural response to visual motion depends on contrast and that this dependence itself varies with context. Using the spike-triggered average velocity trajectory as a response measure, we find that this context dependence is confined to a low-dimensional space, dominated by a single principal dimension. To quantify the functional consequences of this structure, we measure the mutual information between stimulus and single-spike responses under models with and without adaptive structure. Across a wide range of conditions, incorporating adaptation consistently increases mutual information, indicating that context-dependent changes in the encoding model improve information transmission.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034408"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207563","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":"Analytical framework for the approximate master equation.","authors":"Yu Takiguchi, Takehisa Hasegawa","doi":"10.1103/d26r-r4gp","DOIUrl":"https://doi.org/10.1103/d26r-r4gp","url":null,"abstract":"<p><p>The approximate master equation (AME) provides a highly accurate description of dynamical processes on networks, yet its steady states are generally analytically intractable. In this study, we develop an analytical framework to derive the steady states of the AME by introducing a controlled approximation that enables closure of the moment equations. This framework reproduces the steady state of the pair approximation by achieving closure with the minimum required order of moments, and can be systematically refined to approach the exact steady states of the AME. We apply this to the susceptible-infected-susceptible model, the voter model, and evolutionary games, demonstrating that the steady states can be derived. In particular, for evolutionary games, we show that combining our framework with the singular perturbation method enables the analytical derivation of the time evolution.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034313"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207577","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":"Community detection with the canonical ensemble.","authors":"Rudy Arthur","doi":"10.1103/rt96-mb8q","DOIUrl":"https://doi.org/10.1103/rt96-mb8q","url":null,"abstract":"<p><p>Network community detection is usually considered as an unsupervised learning problem. Given a network, the aim is to partition it using some general-purpose algorithm. In this paper, we instead treat community detection as a hypothesis testing problem. Given a network, we examine the evidence for community structure in the observed network compared to a network generated by a null model. To do this, we define an appropriate test statistic, analogous to a z-score, and discuss several null models derived from maximizing entropy under different constraints. These constraints are imposed in expectation, giving a canonical ensemble rather than the usual microcanonical ensemble. We demonstrate the application of this method on real and synthetic data and contrast our method to Bayesian approaches based on the stochastic block model. We demonstrate that this method gives rigorous answers to concrete questions, which can be more useful to analysts than the output of a generic algorithm.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034302"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207586","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":"MesoMem: A mesoscale membrane model based on an additive potential.","authors":"Pietro Sillano, Siewert J Marrink, Timon Idema","doi":"10.1103/4dhv-8xd7","DOIUrl":"https://doi.org/10.1103/4dhv-8xd7","url":null,"abstract":"<p><p>Bridging the gap between atomistic detail and continuum mechanics is a central challenge in modeling biological membranes, particularly for mesoscopic phenomena spanning large length and time scales. In this work, we introduce a new, solvent-free, one-particle-thick, coarse-grained model for lipid bilayers, governed by an additive potential. Our approach treats orientational elasticity through distinct additive energy terms for tilt and splay, offering an unbiased potential form. The model is implemented in the lammps molecular-dynamics engine. Our simulations show spontaneous self-assembly of lamellar structures and stable vesicles from disordered states. We map the dynamical phase diagram of the system, identifying distinct gel-like, fluid, and gas regimes, controlled by temperature and the steepness of the isotropic attraction. The model accurately reproduces the theoretical 1/q^{4} fluctuation spectrum for tensionless membranes and exhibits tunable mechanical properties, including biologically relevant bending rigidities. We show how we can include osmotic pressure and spontaneous curvature in our model. Finally, we demonstrate the model's applicability to complex membrane remodeling by simulating the adhesive wrapping of colloidal nanoparticles, recovering the predicted dependency on particle size and adhesion strength.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034412"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207636","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}
Andrey E Schegolev, Vsevolod I Ruzhickiy, Georgy I Gubochkin, Alexander S Ionin, Ivan A Nazhestkin, Mikhail Y Fominskii, Lyudmila V Filippenko, Igor I Soloviev, Maxim V Tereshonok, Nikolay V Klenov
{"title":"Digital-analog concept for superconducting perceptron-like neural networks.","authors":"Andrey E Schegolev, Vsevolod I Ruzhickiy, Georgy I Gubochkin, Alexander S Ionin, Ivan A Nazhestkin, Mikhail Y Fominskii, Lyudmila V Filippenko, Igor I Soloviev, Maxim V Tereshonok, Nikolay V Klenov","doi":"10.1103/y84t-zzch","DOIUrl":"https://doi.org/10.1103/y84t-zzch","url":null,"abstract":"<p><p>A promising route to superconducting artificial neural networks is a hybrid digital-analog architecture that combines digital single-flux-quantum (SFQ) communication with compact analog nonlinear processing. The study focused on the dynamic conversion of a discrete signal passing through a digital-to-analog-to-digital (DAD) converter, in which the role of the analog cell was performed by a Σ-neuron with a nonlinear transfer function-the basic cell of perceptron-like neural networks. Furthermore, the DAD converter, the elementary functional block of the hybrid architecture, combines a digital-to-analog converter (DAC) and an analog-to-digital converter (ADC), and reencodes the analog Σ-neuron wave forms as an SFQ pulse sequence. Circuit-level simulations demonstrate how input values encoded by SFQ pulse trains are converted into analog signal levels, transformed by the Σ-neuron, and mapped back to pulse-based outputs. As a key experimental step, we fabricated and characterized a redesigned Σ-neuron and measured a sigmoid-like transfer characteristic suitable for activation-function implementation. The extracted response was incorporated into system-level simulations to assess the influence of realistic device parameters on the conversion process. We delineate the operating-range matching requirements for the DAC, neuron, and ADC blocks, supporting the feasibility of the proposed interface as a building block for perceptron-like superconducting neural networks with digital inputs and outputs. Finally, we developed two perceptron networks, one using a mathematical sigmoid activation and the other the measured Σ-neuron transfer characteristic, which reached classification accuracies of 97.0% and 91.9%, respectively, on the MNIST handwritten digit dataset.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035306"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207638","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":"Kinetic theory of pattern formation in a generalized multispecies Vicsek model.","authors":"Eloise Lardet, Letian Chen, Thibault Bertrand","doi":"10.1103/qjl4-wqvx","DOIUrl":"https://doi.org/10.1103/qjl4-wqvx","url":null,"abstract":"<p><p>The theoretical understanding of pattern formation in active systems remains a central problem of interest. Heterogeneous flocks made up of multiple species can exhibit a remarkable diversity of collective states that cannot be obtained from single-species models. In this paper, we derive a kinetic theory for multispecies systems of self-propelled particles with (anti)alignment interactions. We summarize the numerical results for the binary system before employing linear stability analysis on the coarse-grained system. We find good agreement between theoretical predictions and particle simulations, and our kinetic theory is able to capture the correct lengthscale in the emergent coexistence phases through a Turing-Hopf instability. Extending the kinetic framework to multispecies systems with cyclic alignment interactions, we recover precisely the same emergent ordering as corresponding simulations of the microscopic model. More generally, our kinetic theory provides an extensible framework for analyzing pattern formation and collective order in multispecies active matter systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034117"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207617","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":"Manifold dimension identification for the Kuramoto-Sivashinsky equation via a spectral convolutional autoencoder.","authors":"Zi-Fei Meng, Yuquan Wang, Peng-Nan Sun, Boo Cheong Khoo, A-Man Zhang","doi":"10.1103/8zp1-zccr","DOIUrl":"https://doi.org/10.1103/8zp1-zccr","url":null,"abstract":"<p><p>We present a spectral convolutional autoencoder framework to infer an integer, observation-conditioned estimate for the inertial-manifold dimension in the Kuramoto-Sivashinsky equation. Training on trajectory segments of temporal horizon τ, we analyze reconstruction-error scaling with latent dimension d through a local log-slope diagnostic γ(d,τ) and identify a robust horizon-induced change-point: once τ exceeds a mixing scale, the scaling gain localizes at a unique integer d^{*}(L) and remains stable for larger horizons. Across L={22,44,58,66,88,96}, the extracted d^{*} is extensive and is well described by a linear law, d^{*}≈0.366L. Moreover, d^{*} is largely insensitive to temporal-frequency truncation provided the energy-dominant low-frequency band is retained, indicating bandwidth sufficiency for stable dimension identification under the present observation scheme.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034220"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207696","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":"Spatial coevolutionary dynamics in population games with environmental feedbacks.","authors":"Yi Zhong, Chuan Ding, Xiaojie Chen","doi":"10.1103/k326-3y4g","DOIUrl":"https://doi.org/10.1103/k326-3y4g","url":null,"abstract":"<p><p>Feedback between game strategies and environmental states is common in human-natural systems. Existing studies have reported several interesting dynamical behaviors by studying the impact of environmental state on strategy selection. In this paper we construct a characterization of environmental states, assuming that environmental states are determined by local and global environmental states. Based on this we construct a spatial multiagent coevolutionary model to describe the strategy evolution of populations and analyze the model's dynamics by means of Monte Carlo simulations and mean-field approximation. We find that spatial structure can enhance the system stability, preventing the emergence of complex dynamical behaviors such as chaos. Furthermore, we incorporate a diffusion mechanism into the model. Results show that resource diffusion accelerates strategy switching by weakening differences in local environmental states. Numerical results further indicate that spatial structure significantly affects the system stability: the system self-organizes into stable spatial structures analogous to Turing patterns, thus enhancing the system stability. This study investigates the mechanisms by which environmental states and spatial structures influence system stability, offering new insights into understanding the coevolutionary dynamics in real-world systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034205"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207743","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}
Agathe Nidriche, Jacques Ollivier, J Ross Stewart, Judith Peters
{"title":"Polarized neutrons for the study of individual and collective fast dynamics in proteins.","authors":"Agathe Nidriche, Jacques Ollivier, J Ross Stewart, Judith Peters","doi":"10.1103/g381-dcfq","DOIUrl":"https://doi.org/10.1103/g381-dcfq","url":null,"abstract":"<p><p>Neutron scattering is a powerful technique to investigate atomic structures and molecular dynamics of proteins at the nanoscale. When it comes to dynamics, incoherent and coherent scattering respectively provide information on the single and collective dynamics of nuclei. In proteins, hydrogen has the highest incoherent cross section, and it is common practice to overlook the contribution of coherent terms stemming from all nuclei. However, the fast collective dynamics of heavier nuclei could also be studied if coherent scattering and incoherent scattering were experimentally separated. The recent advent of polarized neutron spectroscopy with sufficient flux and energy resolution has made it possible, and opens new perspectives to investigate the relative importance of coherent scattering and the information it provides on biological samples. The present study reports on the use of polarized quasielastic neutron scattering (QENS) and the application of a minimalistic model adapted to both individual and collective dynamics. Using a perdeuterated green fluorescent protein as a model globular protein, the study provides an interpretation of the dynamical parameters obtained with QENS, and a comparative study of the elastic coherent and incoherent scattering factor. Based on both experiments and calculations, we discuss the relative importance of distinct and self components of coherent scattering, which is often wrongly assumed to be representative of collective dynamics only. The results highlight the current impediments rendering complicated a straightforward analysis of fast collective dynamics in hydrated protein samples.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034413"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207750","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}