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Lindbladian spectral statistics beyond no-jump Hamiltonians: Roles of recycling and Liouville-space structure. 超越无跳哈密顿量的林德布拉迪亚谱统计:循环和刘维尔空间结构的作用。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/9y5h-77fm
Dingzu Wang, Hao Zhu, Guo-Feng Zhang, Dario Poletti
{"title":"Lindbladian spectral statistics beyond no-jump Hamiltonians: Roles of recycling and Liouville-space structure.","authors":"Dingzu Wang, Hao Zhu, Guo-Feng Zhang, Dario Poletti","doi":"10.1103/9y5h-77fm","DOIUrl":"https://doi.org/10.1103/9y5h-77fm","url":null,"abstract":"<p><p>Spectral statistics probe integrability versus chaos and have recently been extended to Markovian open quantum systems described by Lindbladians, whose quantum-trajectory unraveling decomposes the evolution into no-jump dynamics generated by an effective non-Hermitian Hamiltonian and recycling jumps. In this work, we perform spectrum-statistics diagnostics for Lindbladians and their effective non-Hermitian Hamiltonians. We show that recycling processes, symmetry constraints, and the Liouville-space structure crucially shape the spectral correlations. In particular, we identify a family of spectrally separable Lindbladians whose spectra exhibit robust Poisson statistics, despite the effective non-Hermitian Hamiltonian varying from Poisson to strongly correlated complex-spectrum statistics. Our work establishes a unified spectral-statistics characterization for Lindbladians and their associated effective non-Hermitian Hamiltonians, deepening our understanding of spectral properties in open many-body systems.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034138"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207719","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
Phase-locked excitations in Klein-Gordon systems. Klein-Gordon系统中的锁相激励。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/337l-9z1x
L Friedland, A G Shagalov
{"title":"Phase-locked excitations in Klein-Gordon systems.","authors":"L Friedland, A G Shagalov","doi":"10.1103/337l-9z1x","DOIUrl":"https://doi.org/10.1103/337l-9z1x","url":null,"abstract":"<p><p>An autoresonant approach for the excitation and control of one- and two-phase waves of a weakly nonlinear Klein-Gordon equation is proposed. It employs chirped-frequency driving waves passing through linear resonances in the system. Under certain conditions, the excited wave phase-locks to the drives, and its amplitude increases to maintain resonance as the wave enters the nonlinear stage. In the single-phase autoresonance, a slow-varying, growing-amplitude traveling wave emerges. Two-wave autoresonance leads to the formation of phase-locked space-time quasicrystals. The theory is based on Whitham's averaged variational approach and is supported by fully nonlinear simulations. It describes different autoresonant scenarios depending on the parameters in the system. Furthermore, the theory establishes threshold values of the driving amplitudes required for autoresonant excitation.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034216"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207731","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
Phase correlations of a strongly scintillating light wave propagating through a turbulent medium. 在湍流介质中传播的强闪烁光波的相位关联。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/c3q7-t5tm
V A Bogachev, I V Kolokolov, V V Lebedev, A V Nemtseva, F A Starikov
{"title":"Phase correlations of a strongly scintillating light wave propagating through a turbulent medium.","authors":"V A Bogachev, I V Kolokolov, V V Lebedev, A V Nemtseva, F A Starikov","doi":"10.1103/c3q7-t5tm","DOIUrl":"https://doi.org/10.1103/c3q7-t5tm","url":null,"abstract":"<p><p>We investigate analytically and numerically correlation functions of the phase of light waves that propagate through turbulent media. We examine the case of strong scintillations that occur at large values of the Rytov dispersion σ_{R}^{2}, which determines a level of distortions of the light wave. Then, it is possible to relate the pair correlation function of phase gradients to the known pair correlation function of the envelope dependent on the distance r assuming Gaussianity of the envelope of the beam. Our direct numerical simulations show that the profile of the pair correlation function for phase gradients gradually approaches the theoretical expression as the value of σ_{R}^{2} increases, if r<r_{0} where r_{0} is the Fried length, which is the correlation length of the wave. For larger r the behavior of the computed correlation function is quite different because of destroying the Gaussianity.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034133"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207797","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
Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves. 极性手性活性物质作为一种可运动的无序约瑟夫森阵列:信息超流和戈德斯通自旋波。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/7y6z-4bwy
Magnus F Ivarsen
{"title":"Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves.","authors":"Magnus F Ivarsen","doi":"10.1103/7y6z-4bwy","DOIUrl":"https://doi.org/10.1103/7y6z-4bwy","url":null,"abstract":"<p><p>We consider a minimalist model of polar chiral active matter: overdamped, self-propelled agents coupled through a localized Kuramoto-Sakaguchi interaction, which causes alignment. Intrinsic frustration drawn from a broad distribution constitutes a temperature for the ensemble. In the comoving frame of the local order parameter, the agent dynamics reduce exactly to the Adler equation, placing each agent in a tilted washboard potential: trapped agents are phase-synchronized, and we demonstrate thereby that synchronization (phase rigidity) is maintained by information supercurrents; agents that are running in this potential form a resistive bath. The model is therefore formally isomorphic to a disordered, resistively shunted Josephson array, and a Monte Carlo sweep over the frequency dispersion empirically recovers the disorder-broadened Adler-Ohmic crossover of the ensemble-averaged slip velocity. Lifting the dynamics from S^{1} to S^{2}, the polar alignment torque (the Kuramoto term) is geometrically equivalent to the Gilbert-damping term of the Landau-Lifshitz-Gilbert equation; the mapping establishes an effortless azimuthal precession, yielding a Goldstone-mode dispersion that carries an effective inertia ∝R^{2}, where R is the local order parameter. This furnishes a microscopic basis for the spin-wave transport assumed in inertial-spin models of flocking. Within its regime of validity, i.e., dry, polar, chiral agents under marginal synchronization with sufficient frustration, the model is well-described as a dissipative spintronic fluid.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035417"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207824","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
Taming nonlinear energy diffusion: The case of time-crystal energy condensates. 控制非线性能量扩散:时晶能量凝聚的情况。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/dqjr-rp6k
P I Hurtado, G Cortés-Guillén
{"title":"Taming nonlinear energy diffusion: The case of time-crystal energy condensates.","authors":"P I Hurtado, G Cortés-Guillén","doi":"10.1103/dqjr-rp6k","DOIUrl":"https://doi.org/10.1103/dqjr-rp6k","url":null,"abstract":"<p><p>We study a bulk-driven nonlinear variant of the Kipnis-Marchioro-Presutti model of stochastic energy diffusion in which local collisions are biased to induce a net energy flow, resembling the effect of an external field. Starting from the microscopic master equation, we derive the hydrodynamic description of the driven system via a local equilibrium approximation, obtaining explicit expressions for the energy current and the associated diffusivity and mobility transport coefficients, which are nonlinear functions of the local energy density. We test our findings in kinetic Monte Carlo simulations of the model, and, as a proof of concept, we demonstrate the versatility of this driving mechanism to control nonlinear energy transport by inducing time-crystalline phases. In particular, we show that appropriately designed packing fields induce the spontaneous formation of traveling energy condensates, exhibiting robust long-range temporal order reminiscent of continuous time crystals. Our results provide a simple yet powerful framework to study bulk-driven nonlinear energy diffusion in stochastic many-body systems, offering a bridge between microscopic dynamics, macroscopic transport, and controlled spatiotemporal order.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034110"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207842","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
Ordered interfacial assembly of rough microellipsoids. 粗糙微椭球体的有序界面组装。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/wps2-2fzk
Md Anisur Rahman, Peter J Beltramo
{"title":"Ordered interfacial assembly of rough microellipsoids.","authors":"Md Anisur Rahman, Peter J Beltramo","doi":"10.1103/wps2-2fzk","DOIUrl":"https://doi.org/10.1103/wps2-2fzk","url":null,"abstract":"<p><p>Dense, orientationally and translationally ordered two-dimensional (2D) monolayers of colloidal ellipsoids are fabricated at air-water interfaces. Kinetic arrest and disordered structures from long-range quadrupolar capillary attraction are overcome by synthesizing polystyrene microellipsoids with surface roughness, specifically nanoscale concavities, which attenuate capillary attraction. With increasing area fraction, the particle assembly shows a disorder-order transition from isotropic to plastic crystal at low ellipsoid aspect ratio (AR) and an isotropic to nematic transition at high AR, agreeing qualitatively with simulated hard ellipse close packing in two dimensions. The ordered particle assembly is successfully transferred to solid substrates via Langmuir-Blodgett deposition, demonstrating the potential of using rough particles to create anisotropically ordered 2D patterns via interfacial templating.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035427"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207918","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
Activity-enhanced ordering in fluctuation-induced first-order transitions. 波动引起的一阶跃迁中的活动增强排序。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/2fmz-91g6
Suvendra K Sahoo
{"title":"Activity-enhanced ordering in fluctuation-induced first-order transitions.","authors":"Suvendra K Sahoo","doi":"10.1103/2fmz-91g6","DOIUrl":"https://doi.org/10.1103/2fmz-91g6","url":null,"abstract":"<p><p>Fluctuations can drive otherwise continuous phase transitions to first order through the Brazovskii mechanism. We study how these fluctuation-induced transitions are modified in active systems by introducing nonequilibrium spatiotemporally correlated noise. We show that, while the transition remains fluctuation-induced first order, activity systematically suppresses these fluctuation effects, shifting the transition to higher temperatures and rendering it increasingly weakly first order. As a result, ordering is enhanced without inducing a spinodal instability of the isotropic phase, as confirmed by direct numerical simulations. In the strong-activity limit, fluctuation effects disappear and mean-field behavior is recovered. Our results identify activity as a generic control parameter for tuning the strength of fluctuation-induced first-order transitions.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-2","pages":"035418"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207892","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
Avalanche assemblies in arbitrary connection topologies. 雪崩程序集在任意连接拓扑中。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/nl7d-16n8
Maik Schünemann, Marc Kesseböhmer, Udo Ernst
{"title":"Avalanche assemblies in arbitrary connection topologies.","authors":"Maik Schünemann, Marc Kesseböhmer, Udo Ernst","doi":"10.1103/nl7d-16n8","DOIUrl":"https://doi.org/10.1103/nl7d-16n8","url":null,"abstract":"<p><p>Complex systems are commonly modeled as networks of units that integrate external input and emit brief pulses of activity upon reaching a threshold. Such pulse-coupled interactions can give rise to cascades of activity propagating through the network in the form of avalanches. While the statistics of these collective events are known to depend sensitively on network topology, rigorous analytical descriptions are usually restricted to homogeneous networks or mean-field approximations which are limited to particular aspects of generated avalanches like size and duration. Here we develop a mathematically rigorous theory of avalanche formation in recurrent networks of pulse-coupled units without assuming homogeneity. For arbitrary nonnegative coupling matrices, the framework provides a closed form for the avalanche assembly distribution, which quantifies the probability that a given subset of units is activated during an avalanche. This approach represents a substantial conceptual advance over existing theories allowing analysis of the structure-function relation between network topology and detailed statistics of generated avalanches. This is particularly relevant for the irregular, highly structured, and asymmetric coupling topologies ubiquitous in natural systems, such as brain networks with pronounced columnar, modular, and hierarchical organization.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034414"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207534","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
Arbitrary approximations of first-passage-time distributions in general time-continuous stochastic processes. 一般时间连续随机过程中首次通过时间分布的任意逼近。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/c4sk-r5rl
Haowen Chen, Liying Zhou, Jiaqi Teng, Aimin Chen, Tianshou Zhou
{"title":"Arbitrary approximations of first-passage-time distributions in general time-continuous stochastic processes.","authors":"Haowen Chen, Liying Zhou, Jiaqi Teng, Aimin Chen, Tianshou Zhou","doi":"10.1103/c4sk-r5rl","DOIUrl":"https://doi.org/10.1103/c4sk-r5rl","url":null,"abstract":"<p><p>First-passage time (FPT) is an important quantity characterizing stochastic processes, but its distribution is often difficult to compute. Here we develop an efficient approach to compute the FPT distribution for a general stochastic process modeled by a master equation or a Fokker-Planck equation. The core of this approach is a differential equation for a moment-generating function, which can be solved by expanding this function in some form. As a result, an approximate FPT distribution can be found up to any pregiven accuracy and even the exact FPT distributions can be derived in some special cases. We validate our proposed approach by analyzing several examples and discuss convergence and renormalization issues of the approach. Our approach has broad applications in various disciplines underlying the FPT issues.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034122"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207541","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
Kinetic energy in random recurrent neural networks. 随机递归神经网络的动能。
IF 2.4 3区 物理与天体物理
Physical review. E Pub Date : 2026-09-01 DOI: 10.1103/x15s-84n9
Li-Ru Zhang, Haiping Huang
{"title":"Kinetic energy in random recurrent neural networks.","authors":"Li-Ru Zhang, Haiping Huang","doi":"10.1103/x15s-84n9","DOIUrl":"https://doi.org/10.1103/x15s-84n9","url":null,"abstract":"<p><p>High-dimensional chaotic dynamics can emerge in a large random recurrent neural network when the synaptic gain crosses a threshold. Recent works showed that the kinetic energy of neural activity links the chaotic dynamics and the supporting unstable fixed points (equilibria) in the phase space. Here, we investigate the kinetic-energy-centric properties of random recurrent neural networks by combining dynamical mean-field theory with extensive numerical simulations. We find that the average kinetic energy shifts continuously from zero to a positive value at the known critical value of coupling variance (synaptic gain) and exhibits a cubic scaling behavior near the critical point from above. This scaling behavior is supported by numerical simulations and provides a quantitative characterization of how fast the dynamics change during the onset of chaos as well as how far the chaotic dynamics are away from the unstable fixed points. The steady-state activity distribution is further calculated by the theory and compared with simulations on finite-size systems from the kinetic-energy optimization perspective as well. The activity distribution is also analyzed in a geometric angle, revealing that although the original chaotic dynamics and the gradient dynamics of the kinetic energy are arranged in a shell-like structure, they are well separated in the polar direction. The trajectory length on the chaotic manifold can be derived from the stationary kinetic energy, and the associated stationary behavior is analyzed as well.</p>","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"114 3-1","pages":"034207"},"PeriodicalIF":2.4,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149207568","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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