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相关论文: Surprising mappings of 2D polar active fluids to 2…

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Equilibrium and nonequilibrium states of matter can exhibit fundamentally different behavior. A key example is the Kardar-Parisi-Zhang universality class in two spatial dimensions (2D KPZ), where microscopic deviations from equilibrium give…

We study the effect of generic spatial anisotropies on the scaling behavior in the Kardar-Parisi-Zhang equation. In contrast to its "conserved" variants, anisotropic perturbations are found to be relevant in d > 2 dimensions, leading to…

统计力学 · 物理学 2009-11-07 Uwe C. Tauber , E. Frey

We study the moving phase of two-dimensional (2D) incompressible polar active fluids in the presence of both quenched and annealed disorder. We show that long-range polar order persists even in this defect-ridden two-dimensional system. We…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

In this work, the out-of-equilibrium dynamics of the Kardar-Parisi-Zhang equation in (1+1) dimensions is studied by means of numerical simulations, focussing on the two-times evolution of an interface in the absence of any disordered…

统计力学 · 物理学 2009-11-13 Sebastian Bustingorry

We study universal behavior in the moving phase of a generic system of motile particles with alignment interactions in the incompressible limit for spatial dimensions $d>2$. Using a dynamical renormalization group analysis, we obtain the…

软凝聚态物质 · 物理学 2018-11-28 Leiming Chen , Chiu Fan Lee , John Toner

We show that incompressible polar active fluids can exhibit an ordered, coherently moving phase even in the presence of quenched disorder in two dimensions. Unlike such active fluids with annealed (i.e., time-dependent) disorder only, which…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

Stochastic interface dynamics serve as mathematical models for diverse time-dependent physical phenomena: the evolution of boundaries between thermodynamic phases, crystal growth, random deposition... Interesting limits arise at large…

概率论 · 数学 2019-03-22 F. L. Toninelli

Understanding possible universal properties for systems far from equilibrium is much less developed than for their equilibrium counterparts and poses a major challenge to present day statistical physics. The study of aging properties, and…

统计力学 · 物理学 2017-03-22 Jacopo De Nardis , Pierre Le Doussal , Kazumasa A. Takeuchi

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

软凝聚态物质 · 物理学 2011-12-08 Luca Giomi , M. Cristina Marchetti

Clusters formed by fluctuations of two-dimensional (2D) directed interfaces around a threshold level have been extensively studied at equilibrium and in nonequilibrium steady states, but their coarsening dynamics remain poorly understood.…

We present a hydrodynamic theory of incompressible polar active fluids with quenched disorder. This theory shows that such fluids can overcome the disruption caused by the quenched disorder and move coherently, in the sense of having a…

软凝聚态物质 · 物理学 2022-11-04 Leiming Chen , Chiu Fan Lee , Ananyo Maitra , John Toner

We study the hydrodynamic behavior of three dimensional (3D) incompressible collections of self-propelled entities in contact with a momentum sink in a state with non-zero average velocity, hereafter called 3D easy-plane incompressible…

软凝聚态物质 · 物理学 2018-10-31 Leiming Chen , Chiu Fan Lee , John Toner

We investigate growing interfaces of topological-defect turbulence in the electroconvection of nematic liquid crystals. The interfaces exhibit self-affine roughening characterized by both spatial and temporal scaling laws of the…

统计力学 · 物理学 2010-06-15 Kazumasa A. Takeuchi , Masaki Sano

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

软凝聚态物质 · 物理学 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

We provide a comprehensive report on scale-invariant fluctuations of growing interfaces in liquid-crystal turbulence, for which we recently found evidence that they belong to the Kardar-Parisi-Zhang (KPZ) universality class for 1+1…

统计力学 · 物理学 2012-06-25 Kazumasa A. Takeuchi , Masaki Sano

We perform a numerical study on the two-dimensional nonequilibrium exciton-polariton systems driven by incoherent pumping based on the stochastic generalized Gross-Pitaevskii equation. We calculate the density fluctuation, coherence…

量子气体 · 物理学 2021-01-13 Quanyu Mei , Kai Ji , Michiel Wouters

When a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wetting transition may take place. This transition can be studied trough Langevin equations or discrete growth models. In the first case, the…

统计力学 · 物理学 2010-08-24 Andre Cardoso Barato

Stochastic motion of a point -- known as Brownian motion -- has many successful applications in science, thanks to its scale invariance and consequent universal features such as Gaussian fluctuations. In contrast, the stochastic motion of a…

统计力学 · 物理学 2011-08-11 Kazumasa A. Takeuchi , Masaki Sano , Tomohiro Sasamoto , Herbert Spohn

While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct non-equilibrium universality classes. Yet, such behavior has proven difficult…

统计力学 · 物理学 2026-04-08 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

Revealing universal behaviors is a hallmark of statistical physics. Phenomena such as the stochastic growth of crystalline surfaces, of interfaces in bacterial colonies, and spin transport in quantum magnets all belong to the same…

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