{"title":"Superdiffusion in stochastic processes with long-range memory.","authors":"S S Melnyk, V A Yampol'skii, O V Usatenko","doi":"10.1103/j7d9-zlh9","DOIUrl":"https://doi.org/10.1103/j7d9-zlh9","url":null,"abstract":"<p><p>We investigate non-Markovian stochastic processes with long-range temporal memory described by a generalized Langevin (Mori-Zwanzig) equation with a power-law memory kernel. Special attention is paid to the critical regime where the system parameters lie on the boundary separating stable and unstable dynamics, leading to diffusionlike behavior with memory. We derive analytical expressions for the asymptotic behavior of the process and show that, under appropriate conditions on the memory kernel, the system exhibits superdiffusive scaling. In particular, we establish an explicit relation between the exponent of the power-law memory kernel and the growth rate of the variance. Analytical predictions are supported by numerical simulations, confirming the emergence of superdiffusive regimes in systems with long-range memory.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024150"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018531","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":"Neural-network parametrization of fundamental measure theory: From hard spheres to Lennard-Jones fluids.","authors":"Conrard Giresse Tetsassi Feugmo","doi":"10.1103/m7vz-r1qq","DOIUrl":"https://doi.org/10.1103/m7vz-r1qq","url":null,"abstract":"<p><p>We introduce a neural-network framework for parametrizing fundamental measure theory (FMT) applied to hard-sphere and Lennard-Jones fluids. Lutsko's extended scalar FMT expresses the excess free-energy density through two parameters, A and B, which control the relative weight of tensor invariants in the third-order contribution Φ_{3}; different choices recover established functionals (Rosenfeld, White Bear, and the recent optimized values of Gül et al.). We treat A and B as learnable functions of the packing fraction η=(π/6)ρσ^{3}, predicted by a small neural network and optimized end to end through a JAX-based density functional solver. Four training strategies are examined, namely matching the Carnahan-Starling equation of state, minimizing chemical-potential and compressibility deviations, optimizing wall contact densities, and a combined multiobjective loss. All four converge to parameters near the Percus-Yevick line defined by the constraint combination C=8A+2B-9≈0, with subpercent agreement with Carnahan-Starling thermodynamics. Extension to Lennard-Jones fluids via Weeks-Chandler-Andersen perturbation theory, using the temperature-dependent Barker-Henderson effective diameter to define an effective packing fraction, yields vapor-liquid coexistence with a critical temperature T_{c}^{*}=k_{B}T_{c}/ε≈1.28, consistent with mean-field DFT benchmarks. The learned parameters remain close to the fixed Lutsko baseline (A=1, B=0) throughout, confirming that bulk phase equilibria alone cannot drive nontrivial density dependence. A three-phase training strategy-bulk equation-of-state fitting, test-particle sum-rule optimization, and wall-contact density fine tuning via numerical gradients-breaks this degeneracy, yielding contact densities within 1-2% of molecular dynamics data across all benchmark packing fractions and a 5.5-fold reduction in final wall-contact loss relative to direct wall fine tuning, at the cost of 5-8% bulk thermodynamic errors that quantify a genuine bulk-interface tradeoff. These results provide a starting point for adaptive density functionals trained on inhomogeneous simulation data.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025302"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018502","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}
Xing-Zhou Tang, Yang Ding, Jia-Hao Chen, Zi-Ye Wang, Jin-Bing Wu, Susanta Chakraborty, Yan-Qing Lu, Bing-Xiang Li
{"title":"Programmable collective motion of polar solitons in chiral liquid crystals.","authors":"Xing-Zhou Tang, Yang Ding, Jia-Hao Chen, Zi-Ye Wang, Jin-Bing Wu, Susanta Chakraborty, Yan-Qing Lu, Bing-Xiang Li","doi":"10.1103/q6vl-2hkv","DOIUrl":"https://doi.org/10.1103/q6vl-2hkv","url":null,"abstract":"<p><p>Collective motion is a fundamental mode of organization in systems ranging from biological assemblies to driven physical media. Reproducing and controlling such behavior in soft-matter systems remains challenging, as soliton-soliton interactions are often symmetric, which tends to confine collective dynamics to predominantly repulsive motion. Here, we demonstrate that soliton ensembles can be reversibly switched among disordered, linear, and circular motion by electrical control, enabling regulation of soliton population, velocity, and trajectories. Circular motion stabilizes soliton populations while retaining information about earlier trajectories, allowing partial recovery of the original motional state. Under suitably designed electric-field configurations, localized many-body motion can also be achieved. These results establish a controllable route to collective dynamics based on localized solitonic textures and suggest general design principles for programmable self-organization in soft matter, with potential relevance to reconfigurable photonic structures and other driven many-body systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025405"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018466","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":"Slow-driving-induced multistability and remote synchronization in chaotic Chua's circuit.","authors":"Tuhin Mahanty, Ayushi Saxena, Sangeeta Rani Ujjwal","doi":"10.1103/kwbg-sfbn","DOIUrl":"https://doi.org/10.1103/kwbg-sfbn","url":null,"abstract":"<p><p>We study the response of Chua's circuit driven by a chaotic signal of variable timescale. We observe that when the frequency of the driving signal is significantly lower than that of the response and the driving strength is above a threshold, Chua's circuit exhibits multiple stable attractors. The features of the attractors change as the driving strength ɛ increases; for instance, the attractors are double-scroll at low ɛ and are single-scroll when ɛ is high. We also investigate generalized synchronization (GS) between the drive and the response systems by employing the auxiliary system approach. When the drive is much slower than the response, we observe different scenarios of remote synchronization (RS) between response and auxiliary units. In addition to complete synchrony between response and auxiliary systems indicating GS between drive and response, we notice that the response and auxiliary units can be lag-synchronized and can also have correlated trajectories indicating novel forms of RS. The slow drive can induce multistability between these RS states, which disappears as the frequency of the driving signal increases and becomes equivalent to that of the response of Chua's circuit.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024219"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018560","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}
Marcus Schref, Udo Schilcher, Christian Bettstetter
{"title":"Swarmalator networks with multihop coupling.","authors":"Marcus Schref, Udo Schilcher, Christian Bettstetter","doi":"10.1103/7krx-p6hm","DOIUrl":"https://doi.org/10.1103/7krx-p6hm","url":null,"abstract":"<p><p>Swarmalator systems intertwine two forms of collective behavior, swarming and synchronization, leading to the emergence of specific space-time patterns. Scaling the model to real-world phenomena and technical applications is problematic due to the assumption of global coupling among all swarmalators, which is impractical under physical constraints on interaction range. Conversely, purely local coupling was shown to be infeasible. To address this gap, we introduce and evaluate the concept of multihop coupling for swarmalators, which preserves the locality of physical interactions but propagates state information throughout the network via hop-limited and probabilistic flooding. It is demonstrated that convergence to the original emergent patterns can be achieved in a reliable and fast manner while keeping overhead low. A practical guideline for selecting the range, hop limit, and forwarding probability is provided. The range required for convergence can be approximated by the connectivity threshold of random geometric graphs.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024216"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018610","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":"Depletion forces from interacting crowders.","authors":"Gopal Parthasarathy, Xiang Cheng, Kevin D Dorfman","doi":"10.1103/3c47-spq4","DOIUrl":"10.1103/3c47-spq4","url":null,"abstract":"<p><p>Macromolecular crowding is an organizing principle in soft matter and biological systems where high concentrations of macromolecules generate depletion forces that drive collective processes such as compaction, self-assembly, and phase separation. While the classical Asakura-Oosawa (AO) theory has been widely used to describe depletion interactions, it neglects crowder-crowder interactions and is unable to account for enhanced depletion observed in systems with attractive crowders. Here, we investigate the depletion potential of colloids immersed in Lennard-Jones crowders, which at modest crowder-crowder attraction form transient, correlated clusters, enhancing and extending the depletion range beyond classical AO predictions. We develop a cluster AO theory which treats clusters as effectively larger depletants, incorporating contributions from individual crowders and interactions between clusters. The resulting theoretical predictions mimic those obtained from umbrella sampling simulations, outperforming the predictions of classical AO theory, static polydisperse models, and traditional liquid-state-like superposition approximations without requiring costly sampling of colloid-crowder systems. Our findings highlight that prior knowledge of emergent cluster statistics suffices to predict depletion interactions in systems with interacting crowders, offering a tractable route to study crowding behavior in complex fluids.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025429"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13598361/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical approach to subsystem resetting in generalized Kuramoto models.","authors":"Rupak Majumder, Anish Acharya, Shamik Gupta","doi":"10.1103/d82g-qyvf","DOIUrl":"https://doi.org/10.1103/d82g-qyvf","url":null,"abstract":"<p><p>Stochastic resetting has emerged as a powerful mechanism for driving systems into nonequilibrium stationary states with tunable properties. While most existing studies focus on global resetting, where all degrees of freedom are simultaneously reset, recent work has shown that resetting only a subset of degrees of freedom (subsystem resetting) can qualitatively alter collective behavior in interacting many-body systems. In this work, we develop a general theoretical framework for analyzing subsystem resetting in Kuramoto-type coupled-oscillator systems. Building on a continued-fraction approach, we derive self-consistent equations for the stationary-state order parameter of the nonreset subsystem, applicable to both noisy and noiseless dynamics and to models with arbitrary interaction harmonics. Using this framework, we systematically investigate how the stationary state and phase transitions depend on the resetting rate, the size of the reset subsystem, and the reset configuration. We show that subsystem resetting can shift or even suppress synchronization transitions, and can give rise to nontrivial features such as reentrant behavior and restructuring of phase boundaries. In specific cases, including the noiseless Kuramoto model with a Lorentzian frequency distribution, our results recover known analytical predictions and extend them to more general settings. These results establish subsystem resetting as a versatile control protocol for engineering collective dynamics in nonequilibrium interacting systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024108"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018256","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":"High-harmonic optical vortex generation from a plasma aperture.","authors":"Runze Li, Wenchao Yan, Longqing Yi","doi":"10.1103/y9vl-q6vt","DOIUrl":"https://doi.org/10.1103/y9vl-q6vt","url":null,"abstract":"<p><p>When a high-power, femtosecond, circularly polarized (CP) laser pulse impinges on a micrometer-scale aperture in a solid foil target, it drives surface plasma oscillation on the boundary, and generates high-order harmonic vortices in the diffracted light [L. Yi, Phys. Rev. Lett. 126, 134801 (2021)10.1103/PhysRevLett.126.134801.]. Such a relativistic diffraction scenario has opened up a new paradigm for controlling the high-order harmonic generation (HHG) process.H owever, so far it has only been studied theoretically under ideal conditions. In this work, we perform numerical studies on more realistic situations. In particular, we focus on a scenario in which the laser is obliquely incident on the target surface to avoid the potential damage of the optics by the reflected light. We demonstrate that increasing the oblique incidence angle, reducing target thickness, and improving laser contrast can enhance the harmonic conversion efficiency. However, we show that under these nonideal conditions, because the rotational symmetry of the setup is broken, the generated harmonic beams contain both Laguerre-Gaussian (LG) (vortex) and non-LG components; the LG components show a significantly smaller divergence. In addition, we numerically investigated the harmonic divergence angles and topological charge spectra of the harmonic vortices under different conditions. These pure-LG components in the harmonics can potentially be filtered out for a wide range of fundamental and applied physics research.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025207"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018360","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}
T Araújo Lima, R B do Carmo, K Terto, F M de Aguiar
{"title":"1/f^{α} noise in spectral fluctuations of quantum nonchaotic billiards.","authors":"T Araújo Lima, R B do Carmo, K Terto, F M de Aguiar","doi":"10.1103/9wpt-6gr3","DOIUrl":"https://doi.org/10.1103/9wpt-6gr3","url":null,"abstract":"<p><p>Let {ε_{i}}_{i=1}^{∞} represent the set of unfolded energy eigenvalues of a quantized billiard system. Then, the set {δ_{n}=ε_{n+1}-ε_{1}-n} may be considered as a finite time series of size M=n_{m}-n_{0}, in which n plays the role of a discrete time and δ_{n} fluctuates around zero. These random fluctuations are known to exhibit the 1/f^{α} noise characteristic, where α∈[1,2], the limit α=1(2) corresponding to a fully chaotic (regular) classical dynamics. Previously, the presence of 1/f^{α} noise in the δ_{n} statistics has been demonstrated in a family of billiards for which the classical phase space is divided (Kolmogorov-Arnold-Moser systems). Here, the δ_{n} statistics is further explored, so as to include two new features, namely, (i) nonchaotic full ergodicity and (ii) symmetry. Four billiard families, classified as type P and type S, are considered. The type-P families are comprised of polygonal billiards, which are never chaotic, but may exhibit a mixing classical dynamics characterized quantitatively through the position autocorrelation function decay exponent σ. A type-S billiard has a smooth boundary and, correspondingly, a divided phase space with normalized chaotic volume ρ_{c}. Possible correlations between the spectral noise parameter α and the classical quantities, σ for type-P and ρ_{c} for type-S domains, are numerically investigated. Spearman's rank correlation coefficients support that the quantum spectral exponent α scales with the classical quantities. In addition, one family in each class is C_{3} symmetric. In this case, singlets and doublets have different spectral statistics in the chaotic limit, namely, the singlet (doublet) subspectrum follows the Gaussian orthogonal ensemble (Gaussian unitary ensemble) of random matrices. Let α_{1}(α_{2}) be the noise exponent in a singlet (doublet) time series. Numerical calculations of Pearson's correlation coefficients show that α_{1} and α_{2} are compatible with each other for both type-S and type-P within symmetrical families in the regime 1<α<2.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024212"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018315","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":"Mesoscale model of a three-dimensional odd fluid.","authors":"Yuxing Jiao, Mingcheng Yang","doi":"10.1103/h95h-xx2j","DOIUrl":"https://doi.org/10.1103/h95h-xx2j","url":null,"abstract":"<p><p>Odd fluids are a class of fluids characterized by nonzero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was developed. Here, we extend the model to the three-dimensional case that corresponds to an anisotropic odd fluid with cylindrical symmetry. Using kinetic theory, we analytically derive the viscosity tensor and Navier-Stokes equation for the three-dimensional mesoscale odd fluid, which we quantitatively verify with simulations. Furthermore, through both simulation and hydrodynamic theory, we demonstrate that the planar Poiseuille flow of the three-dimensional odd fluid exhibits exotic transport behavior. This work thus paves the way for performing large-scale simulations to explore and exploit intriguing phenomena of odd fluids.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025104"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018330","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}