Keiji Konishi, Koki Yoshida, Yoshiki Sugitani, Naoyuki Hara
{"title":"Amplitude death and phase-locked oscillations in delay-coupled oscillators with frequency mismatch and nonisochronism.","authors":"Keiji Konishi, Koki Yoshida, Yoshiki Sugitani, Naoyuki Hara","doi":"10.1103/5rfb-hyps","DOIUrl":"https://doi.org/10.1103/5rfb-hyps","url":null,"abstract":"<p><p>This paper presents an investigation of amplitude death and phase-locked oscillations in delay-coupled Stuart-Landau oscillators with frequency mismatch. These oscillators exhibit nonisochronism, in which the rotation velocities depend on amplitudes. We provide a simple procedure to numerically obtain the phase-locked periodic orbits and their stability for such oscillators. This procedure allows us to construct bifurcation diagrams for amplitudes and phase differences of the orbits, which include information on their stability. The bifurcation diagrams disclose the effects of frequency mismatch and nonisochronism on the global nonlinear dynamics of delay-coupled oscillators. We find that frequency mismatch can induce a stability region for amplitude death where the phase-flip phenomenon does not occur, and we reveal its mechanism. Furthermore, we show that explosive amplitude death can arise even in the presence of frequency mismatch.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014221"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796578","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":"Score-based modeling of effective Langevin dynamics.","authors":"Ludovico Theo Giorgini","doi":"10.1103/6qpv-lqmt","DOIUrl":"https://doi.org/10.1103/6qpv-lqmt","url":null,"abstract":"<p><p>We introduce a constructive framework to learn effective Langevin equations from stationary time series. Unlike conventional approaches that require iterative calibration to match target statistics, our construction guarantees the observed steady-state density by design and enforces short-lag coordinate-correlation constraints directly from data-so that the surrogate satisfies the targeted invariant measure and short-lag coordinate-correlation constraints from the outset, without trial-and-error tuning. The drift is parametrized in terms of the score function-the gradient of the logarithm of the steady-state distribution-and a constant mobility matrix whose symmetric part controls dissipation and diffusion and whose antisymmetric part encodes mean nonequilibrium circulation. The score is learned from samples using denoising score matching, while the mobility coefficients are inferred from short-lag correlation identities estimated via a clustering-based finite-volume discretization on a data-adaptive state-space partition. We validate the approach on low-dimensional stochastic benchmarks and on partially observed Kuramoto-Sivashinsky dynamics, where the resulting Markovian surrogate preserves the marginal invariant measure and captures the temporal correlations of the resolved variables. The resulting Langevin models define explicit reduced generators that enable efficient sampling and generation of synthetic trajectories with the imposed statistical and dynamical constraints, without direct simulation of the underlying full dynamics.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1","pages":"L012102"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796584","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":"From brittle to ductile and back: Reentrant fracture transition in disordered two-phase solids.","authors":"Subrat Senapati, Anuradha Banerjee, R Rajesh","doi":"10.1103/j3f3-r4yp","DOIUrl":"https://doi.org/10.1103/j3f3-r4yp","url":null,"abstract":"<p><p>Fracture processes in multiphase solids are inherently complex due to multiple competing mechanisms. Here, we investigate the elastic and fracture behavior of two-phase solids comprising a fragile phase and a tough phase using a disordered spring network model. As the proportion of the tough phase increases, the system undergoes a reentrant phase transition in fracture behavior: from brittle to ductilelike and back to brittle. These transitions and the physical interpretation of the underlying mechanisms are identified through avalanche statistics and cluster-size characteristics of broken springs. Notably, the avalanche exponent associated with the majority phase changes universality class during the brittle-to-ductile transition. In the brittle regime, dominant clusters rapidly absorb other large clusters. In contrast, the ductile regime is characterized by more gradual coalescence, leading to a decrease in the total number of clusters over time while their average size increases.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-2","pages":"015503"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796737","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":"Distance function for stochastic matrices.","authors":"Antony R Lee, Peter Tiňo, Iain B Styles","doi":"10.1103/z34j-grq5","DOIUrl":"https://doi.org/10.1103/z34j-grq5","url":null,"abstract":"<p><p>The ability to quantify the similarity of stochastic processes is important in a wide range of areas including communications, simulation, and operational research. Such processes are commonly modeled as Markov Chains and so a natural way to compare their similarity is to compute distances between pairs of Markov Chains. We propose a distance function on the space of stochastic matrices that draws on ideas from information geometry. We first show that the Bhattacharyya angle is an appropriate measure of distance between Markov chain sequences, drawing on examples taken from healthcare processes and deriving bounds on the convergence of the distance and mixing times. We then extend these ideas to derive a distance measure which enables direct comparison of the transition matrices themselves. Our result is a true metric which has a closed form and is efficient to implement for numerical evaluation. In the case of ergodic Markov chains, it is shown that considering either the Bhattacharyya angle on Markov sequences or our stochastic matrix distance leads to the same distance between models.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014125"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796727","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":"Higher-order adaptive behaviors outperform pairwise strategies in mitigating contagion dynamics.","authors":"Marco Mancastroppa, Márton Karsai, Alain Barrat","doi":"10.1103/7zyh-9j1b","DOIUrl":"https://doi.org/10.1103/7zyh-9j1b","url":null,"abstract":"<p><p>When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors and their impact on the contagion dynamics have been investigated in pairwise networks, with binary interactions driving both contagion and risk perception. However, contagion and adaptive mechanisms can also be driven by group (higher-order) interactions. Here, we consider several adaptive behaviors triggered by awareness of risk perceived through higher-order and pairwise interactions, and we compare their impact on pairwise and higher-order contagion processes. By numerical simulations and a mean-field analytic approach, we show that adaptive behaviors driven by higher-order information are more effective in limiting the spread of a contagion, than similar mechanisms based on pairwise information. Meanwhile, they also entail a lower social cost, measured as the reduction of the intensity of interactions in the population. Indeed, adaptive mechanisms based on higher-order information lead to a heterogeneous risk perception within the population, producing a higher alert on nodes with large hyperdegree (i.e., participating in many groups), on their neighborhoods, and on large groups. This in turn prevents the spreading process to exploit the properties of these nodes and groups, which tend to drive and sustain the dynamics in the absence of adaptive behaviors.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014302"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796741","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":"Probing eigenstate thermalization in the weakly interacting Holstein polaron model.","authors":"K Prashant, A Adhikari, C Sudheesh","doi":"10.1103/7qgp-g9kx","DOIUrl":"https://doi.org/10.1103/7qgp-g9kx","url":null,"abstract":"<p><p>The origin of chaos in quantum systems remains a central challenge in many-body physics. Here, we use the adiabatic gauge potential (AGP) as a tool to investigate the transition from integrability to chaos in the one-dimensional Holstein polaron model. By combining exact diagonalization with an analysis of eigenstate expectation values (EEVs) and the statistical properties of off-diagonal matrix elements, we provide a detailed characterization of thermalization indicators in this model. In the integrable regime, we observe distributions of EEVs and power-law decays of their outliers with system size, consistent with the breakdown of the eigenstate thermalization hypothesis (ETH). Notably, in the noninteracting limit, standard indicators of quantum chaos, such as the mean level spacing, fail to capture the absence of integrability breaking. As integrability is broken, the off-diagonal matrix elements exhibit Gaussian statistics with variances matching random-matrix predictions, while EEV fluctuations vanish rapidly, signaling the onset of quantum chaos. Our results establish the AGP, with matrix element statistics, as a framework to probe the crossover from integrability to chaos in electron-phonon coupled systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014118"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796792","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":"Subexponential growth dynamics in complex systems: A piecewise power-law model for the diffusion of new words and names.","authors":"Hayafumi Watanabe","doi":"10.1103/f3d5-2tb8","DOIUrl":"https://doi.org/10.1103/f3d5-2tb8","url":null,"abstract":"<p><p>The diffusion of ideas and language represents a typical example of collective dynamics in complex systems, conventionally described by S-shaped models such as the logistic function and its generalizations. However, the role of subexponential growth-a slower-than-exponential pattern known in epidemiology-has been largely overlooked in social diffusion processes. Here, we present a piecewise power-law model to characterize complex growth curves with a few parameters. We systematically analyzed a large-scale dataset of approximately one billion Japanese blog articles linked to Wikipedia vocabulary, and observed consistent patterns in web search trend data (English, Spanish, and Japanese). Our analysis of 2963 items, selected for reliable estimation (e.g., sufficient duration/peak, monotonic growth), reveals that 1625 (55%) diffusion patterns without abrupt level shifts were adequately described by one or two segments. For single-segment curves, we found that (i) the mode of the shape parameter α was near 0.5, indicating prevalent subexponential growth; (ii) the peak diffusion scale is primarily determined by the growth rate R, with minor contributions from α or the duration T; and (iii) α showed a tendency to vary with the nature of the topic, being smaller for niche/local topics and larger for widely shared ones. Furthermore, a microbehavioral model of outward (stranger) versus inward (community) contact suggests that α can be interpreted as an index of the preference for outward-oriented communication. These findings suggest that subexponential growth is a common pattern of social diffusion, and our model provides a practical framework for consistently describing, comparing, and interpreting complex and diverse growth curves.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014304"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796846","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":"Role of stall forces and entropic barriers in geometry-dependent polymer translocation.","authors":"Reshmi Nayak, Damien Paul Foster, Sanjay Kumar","doi":"10.1103/zqz7-dwdg","DOIUrl":"https://doi.org/10.1103/zqz7-dwdg","url":null,"abstract":"<p><p>We investigate the role of stall forces and entropic barriers in geometry-dependent polymer translocation through narrow pores. We consider two distinct geometrical constraints: forced translocation through a small pore in a flat membrane separating two semi-infinite three-dimensional spaces, and translocation from a confined region into an unconfined space, where the confinement is provided by a square-pyramidal geometry in three dimensions. The translocation dynamics is described within a lattice-based framework by mapping the process onto the diffusion of an effective virtual particle governed by a Fokker-Planck equation, with the underlying free-energy landscape obtained from exact enumeration of polymer configurations. This approach enables us to study the effects of external driving forces from entropic resistance arising due to geometry. Under their respective stall forces, translocation is markedly faster through a square pyramidal pore than through a flat membrane, demonstrating that confinement-induced changes in the entropic free-energy barrier can enhance driven polymer transport. Our results reveal the importance of a stall force in controlling polymer translocation, suggesting potential applications in nanopore-based manipulation, filtration, and sequencing technologies.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-2","pages":"015419"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796915","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":"Sufficient statistics for parameter inference in the stochastic Van der Pol oscillator model for thermoacoustic instabilities.","authors":"Y Sungtaek Ju","doi":"10.1103/k56x-bf4g","DOIUrl":"https://doi.org/10.1103/k56x-bf4g","url":null,"abstract":"<p><p>Thermoacoustic instabilities pose a critical challenge in the design and operation of many combustion systems. We report a low-dimensional statistics approach for inferring the parameters of the stochastic Van der Pol oscillator from trajectory observations. From the exponential family structure of the stationary amplitude distribution, we identify sufficient statistics that capture essential parametric information. To break the parameter degeneracy inherent to stationary distribution methods, we incorporate the amplitude autocorrelation time, which provides independent information about noise intensity through relaxation dynamics. The inverse mapping from sufficient statistics to parameters can be effectively approximated by quadratic polynomial regression, achieving comparable accuracy to neural networks while requiring orders of magnitude fewer parameters and providing interpretable closed-form expressions. Comparison with previous parameter identification approaches reveals complementary strengths. In the critical regime near the Hopf bifurcation, our method enables regime classification with reasonable accuracy. Under measurement noise, a periodogram-based moment correction yields graceful degradation across all three parameter estimates, with residual high-noise error dominated by autocorrelation-time bias rather than moment bias. The methodology provides interpretable symbolic expressions suitable for thermoacoustic stability monitoring, and can be extended to other stochastic oscillator systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014203"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796922","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":"Spectral statistics and localization properties of a C_{3}-symmetric billiard.","authors":"Matic Orel, Marko Robnik","doi":"10.1103/s9jj-p8sy","DOIUrl":"https://doi.org/10.1103/s9jj-p8sy","url":null,"abstract":"<p><p>We revisit the spectral statistics of the C_{3}-symmetric billiard introduced by F. Leyvraz et al. [J. Phys. A: Math. Gen. 29, L575 (1996)0305-447010.1088/0305-4470/29/22/004], which exhibits both Gaussian orthogonal ensemble (GOE) and Gaussian unitary ensemble (GUE) statistics depending on the symmetry block. Using high-precision Beyn's contour-integral method for the nonlinear Fredholm eigenvalue problem with built-in separation of irreducible subspaces, we compute 2.8×10^{5} eigenvalues in each symmetry subspace, enabling statistically meaningful comparisons with random matrix theory. The improved spectra reveal clear GOE-GUE correspondence and resolve previously observed deviations in long-range spectral correlations. Furthermore, we analyze phase-space eigenstate localization through the distribution of entropy localization measures, which, for chaotic states follow a β distribution whose standard deviation decays as a power law with energy, consistent with the onset of quantum ergodicity as described by Schnirelman's theorem.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 1-1","pages":"014220"},"PeriodicalIF":2.4,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148796925","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}