{"title":"Extreme values of infinite-measure processes.","authors":"Talia Baravi, Eli Barkai","doi":"10.1103/cnvh-1cts","DOIUrl":"https://doi.org/10.1103/cnvh-1cts","url":null,"abstract":"<p><p>We study the statistics of the maximum and minimum of a set of N random variables whose dynamical and statistical properties fall within the scope of infinite ergodic theory. These nonstationary yet recurrent systems are described, in the long-time limit, by a non-normalizable infinite invariant density. Extreme events in such systems emerge in a joint limit where the observation time t is long and the number of variables N is large. We show that the resulting extreme-value statistics is controlled by the return exponent α and the infinite invariant measure, and therefore departs from the classical Fréchet, Gumbel, and Weibull universality classes. We illustrate the theory for weakly chaotic intermittent maps, overdamped diffusion in an asymptotically flat potential, and a stochastic model of subrecoil laser cooling, and show how measurements of extremes can be used to infer the infinite-density structure.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024135"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018525","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":"Varied dispersion relation branches of nondegenerate vector solitons.","authors":"Yu-Hao Wang, Liang Duan, Yan-Hong Qin, Li-Chen Zhao","doi":"10.1103/czq6-jvy9","DOIUrl":"https://doi.org/10.1103/czq6-jvy9","url":null,"abstract":"<p><p>We systematically investigate the dispersion relations of nondegenerate dark-bright-bright solitons in a three-component Manakov model with repulsive interactions. We show that the vector solitons possess four distinct dispersion relation branches, comprising two positive-mass branches and two negative-mass branches. The energy-velocity dispersion relation of each pair of positive- and negative-mass branches forms a closed loop, resulting in two disjoint loops for the soliton's overall dispersion. All soliton branches share a common maximum speed (much lower than the sound speed), at which branch degeneracies emerge. The maximum speed is determined by the larger bright soliton particle number for the nondegenerate dark-bright-bright soliton, in contrast to the partially degenerate case. Linear stability analysis shows that all these branches are stable against weak perturbations. Extending these results to the four-component Manakov model yields eight distinct nondegenerate soliton branches. Combining these results, we conclude that for an N-component Manakov system, the nondegenerate solitons have 2^{N-1} distinct branches, of which half are positive-mass branches and the other half are negative-mass branches. Each pair of positive- and negative-mass branches forms a closed dispersion relation loop, so that the vector solitons have 2^{N-2} disjoint loops. These results reveal rich degeneracy structures in soliton dispersion relations and may motivate experiments on externally driven vector-soliton dynamics.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024217"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018551","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":"Radiation damping of the soliton internal mode in one-dimensional quadratic Klein-Gordon equation.","authors":"Piotr Bizoń, Tomasz Romańczukiewicz","doi":"10.1103/xj85-f9bd","DOIUrl":"https://doi.org/10.1103/xj85-f9bd","url":null,"abstract":"<p><p>We study the long-time dynamics of small even perturbations of the soliton in a one-dimensional quadratic nonlinear Klein-Gordon equation. The soliton possesses both an internal mode and an unstable mode. On a codimension-one manifold of fine-tuned initial data, the instability is suppressed and the internal mode decays slowly by transferring energy into the continuum. We show that this decay and the associated nonlinear frequency shift are accurately captured by a cubic resonant approximation, with the damping rate determined by a Fermi golden rule-type coefficient. This provides a quantitative description of an irreversible energy transfer from the internal mode to dispersive radiation.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024213"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018597","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}
Lorenzo Grimaldi, Pablo Villegas, Alessandro Vezzani, Raffaella Burioni, Davide Cassi, Andrea Gabrielli
{"title":"Asymptotic versus mesoscopic spectral dimensions in networks and inhomogeneous structures.","authors":"Lorenzo Grimaldi, Pablo Villegas, Alessandro Vezzani, Raffaella Burioni, Davide Cassi, Andrea Gabrielli","doi":"10.1103/zdpg-dr6t","DOIUrl":"https://doi.org/10.1103/zdpg-dr6t","url":null,"abstract":"<p><p>\"Every object that biology studies is a system of systems.\" (François Jacob, 1974). Most networks feature intricate architectures originating from tinkering, a repetitive use of existing components where structures are not invented but reshaped. Linking the properties of primitive components to the emergent behavior of composite networks remains a key open challenge. Here, we show that modular compositions generically decouple the spectral and Fiedler dimensions so that networks with identical thermodynamic exponents can exhibit parametrically different equilibration dynamics.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2","pages":"L022301"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149017430","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}
Raushan Kant, Ananyo Maitra, A K Sood, Sriram Ramaswamy
{"title":"Edge states, pairing, and sorting of motile chiral particles.","authors":"Raushan Kant, Ananyo Maitra, A K Sood, Sriram Ramaswamy","doi":"10.1103/w3lj-m46z","DOIUrl":"https://doi.org/10.1103/w3lj-m46z","url":null,"abstract":"<p><p>We present experiments on chiral active polar particles, realized as vibrated granular rods, revealing evidence for \"skipping orbits\" at hard boundaries. These classical edge states exhibit a net circulation opposite to the particles' intrinsic rotation and lead to a pronounced accumulation at the boundary, stronger than for their achiral counterparts. The directed nature of these orbits provides a simple yet high-fidelity mechanism for chiral sorting-even for solitary particles, unlike in [T. Barois et al., Phys. Rev. Lett. 125, 238003 (2020)0031-900710.1103/PhysRevLett.125.238003]. We propose a unified theoretical framework for boundary interactions of both chiral and achiral particles. In this model, an effective outward radial force, proportional to motility and chirality, explains the observed boundary-hugging. Our theory predicts, and our experiments confirm, a transition in the pairing of two particles of the same chirality, from apolar spinners to polar circle walkers, with increasing packing fraction of an ambient medium of beads.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025418"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149017978","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":"Activity feedback and hyperedge overlap shape bistability in higher-order networks.","authors":"Tianyu Li, Yipeng Hu, Xuening Li, Xueqin Wang, Lijian Yang, Ya Jia","doi":"10.1103/cnmt-5cxk","DOIUrl":"https://doi.org/10.1103/cnmt-5cxk","url":null,"abstract":"<p><p>Behavioral feedback plays a crucial role in shaping epidemic dynamics. In this work, a contagion framework that combines higher-order interactions with a dynamic activity-feedback mechanism is developed and analyzed. An evolution equation describing the temporal dynamics of the activity rate is formulated under the assumption that group behavior is regulated by the current prevalence. Two different bistable states are identified, and the conditions for their appearance and disappearance are clarified. To assess the generality of these findings, we numerically simulated the framework on networks with different levels of hyperedge overlap. Numerical simulations further show that hyperedge overlap modulates the bistable window in a feedback-dependent manner and, under strong behavioral feedback, low-overlap networks can trigger a rapid decline in activity rate, thereby suppressing sustained outbreaks. These results provide a qualitative perspective for understanding behavioral-response patterns reported during the COVID-19 pandemic.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024303"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018244","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":"Biofilms as living soft materials: Towards a mechanistic description of their linear and nonlinear mechanics.","authors":"Eleonora Secchi","doi":"10.1103/8wdc-fl92","DOIUrl":"https://doi.org/10.1103/8wdc-fl92","url":null,"abstract":"<p><p>Biofilms are living materials composed of a cross-linked polymer matrix embedding active bacterial cells, whose mechanical behavior emerges from the collective organization of cells within the matrix. While significant progress has been made in characterizing their linear viscoelastic properties, this regime captures only a limited subset of their mechanical behavior, and the most relevant processes-adaptation and detachment-occur at large deformations. Experimental studies reveal a rich spectrum of nonlinear behaviors, yet a predictive description linking microscopic structure to macroscopic mechanical response remains lacking. This gap stems from the dynamic coupling between composition, structure, and biological regulation, and their temporal evolution. In this Perspective, we propose that reframing biofilms as living soft materials provides a framework for identifying the key physical variables required to mechanistically describe nonlinear mechanical behavior.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"021001"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018234","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":"Network-based drug repurposing for MYH9-related nephritis.","authors":"Muhammad Ali, Tommaso Gili, Guido Caldarelli","doi":"10.1103/v4k3-49dx","DOIUrl":"https://doi.org/10.1103/v4k3-49dx","url":null,"abstract":"<p><p>Using tools from network theory, we analyze the organization of a MYH9-oriented druglike library in chemical space using a multidescriptor framework. The dataset is drawn from ZINC, a publicly available database of commercially accessible compounds curated for virtual screening and drug discovery. Starting from 6004 molecules, preprocessing yields 5000 structurally valid and descriptor-complete compounds. Similarity is defined via Tanimoto distance on Morgan fingerprints and single-descriptor distances for xLogP, HBD, HBA, molecular weight, and rotatable bonds. For each representation we construct k-nearest-neighbor networks and identify communities using the Louvain-Leiden algorithm. All networks exhibit highly significant modularity (Q=0.91-0.99) relative to degree-preserving null models, demonstrating pronounced nonrandom chemical organization across descriptors. Cross-descriptor robustness is quantified through a coclustering matrix over 1.25×10^{7} molecular pairs, measuring how consistently compound pairs co-occur within the same community across descriptor-specific networks. Although most pairs show limited agreement, a sparse high-consensus core emerges, highlighting the complementarity of the descriptors. Minimum spanning trees derived from structural and consensus similarities reveal distinct backbone topologies: a scaffold-driven, sparse structure versus a compact, hub-rich consensus network. Betweenness centrality on these backbones identifies compounds that are both structurally central and descriptor-balanced. These results provide a statistically validated network representation of chemical space and a principled strategy to extract consensus-stable compounds for downstream screening.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024309"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018351","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}
Brennan J H Hughes, Christoph Bruder, Tobias Kehrer
{"title":"Crystal formation in systems of pseudoforced swarmalators.","authors":"Brennan J H Hughes, Christoph Bruder, Tobias Kehrer","doi":"10.1103/cpd5-6rg8","DOIUrl":"https://doi.org/10.1103/cpd5-6rg8","url":null,"abstract":"<p><p>Swarmalators are active agents that move in position space and exhibit internal degrees of freedom. Due to interactions of their positions and phases of oscillation, they show on the one hand swarming, similar to the effect of flocking of birds. In addition, they exhibit synchronization behavior, analogous to what has been observed in fireflies. Previous works studied scenarios in which the phases are forced externally. Here, we consider a pseudoforce that acts on the positions of the swarmalators. Due to the resulting attraction toward the center of position space, transitions from the splintered and active phase-wave state to the static asynchronized state are induced. To quantify the crystal order of swarmalators, we introduce an order parameter that is based on the Fourier transform of their positions.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-1","pages":"024204"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018354","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":"Quasiperiodic instabilities and their exchange of criticality with harmonic and subharmonic modes in temperature-modulated Rayleigh-Benard convection.","authors":"Mehdi Riahi, Mohamed Hayani Choujaa","doi":"10.1103/zfs5-hwlt","DOIUrl":"https://doi.org/10.1103/zfs5-hwlt","url":null,"abstract":"<p><p>Previous studies dealing with Floquet stability analysis of non-zero-mean time-modulated Rayleigh-Bénard convection have shown the existence of only harmonic and subharmonic instability modes. Here, we emphasize the existence of quasiperiodic instabilities that have not yet been reported in the literature. This is achieved through both a Floquet-based analysis of the basic state and direct numerical simulations of the linearized stability equations. Particular attention is devoted to highlighting the existence of kinks in the numerically computed marginal stability curves that render difficult the detection of the stability exchange between quasiperiodic instabilities and their harmonic and subharmonic counterparts. Depending on the Prandtl number of the working fluid, such instability exchanges set in via either bicritical states or the migration of complex-conjugate pairs Floquet multipliers which can be combined to produce subharmonic responses.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"114 2-2","pages":"025108"},"PeriodicalIF":2.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149018433","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}