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We study numerically the Kuramoto-Sivashinsky (KS) equation forced by external white noise in two space dimensions, that is a generic model for e.g. surface kinetic roughening in the presence of morphological instabilities. Large scale…

统计力学 · 物理学 2015-06-04 Matteo Nicoli , Edoardo Vivo , Rodolfo Cuerno

We study scaling properties of the honeycomb fully packed loop ensemble associated with a lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kardar-Parisi-Zhang (KPZ) type dynamics. We show numerically…

统计力学 · 物理学 2015-07-24 Xiangyu Cao , Alberto Rosso , Raoul Santachiara

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 introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex-vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the…

超导电性 · 物理学 2018-07-30 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

Over the past years our understanding of the scaling properties of the solutions to the one-dimensional KPZ equation has advanced considerably, both theoretically and experimentally. In our contribution we export these insights to the case…

统计力学 · 物理学 2016-10-24 Patrik L. Ferrari , Tomohiro Sasamoto , Herbert Spohn

We examine the statics and dynamics of vortices in the presence of a periodic quasi-one dimensional substrate, focusing on the limit where the vortex lattice constant is smaller than the substrate lattice period. As a function of the…

超导电性 · 物理学 2017-12-06 Q. Le Thien , D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

Systems of oscillators subject to time-dependent noise typically achieve synchronization for long times when their mutual coupling is sufficiently strong. The dynamical process whereby synchronization is reached can be thought of as a…

统计力学 · 物理学 2024-11-11 Ricardo Gutierrez , Rodolfo Cuerno

The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of point-like topological defects in the…

统计力学 · 物理学 2022-10-14 Adolfo del Campo , Fernando Javier Gómez-Ruiz , Hai-Qing Zhang

We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

统计力学 · 物理学 2017-09-11 Priyanka , Kavita Jain

We study equilibrium states and ordering regimes of a quasi-one-dimensional system of hard superdisks (anisotropic particles interpolating between disks and squares) where the centers of the particles are constrained to move on a line. A…

软凝聚态物质 · 物理学 2025-01-29 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

We study the synchronization physics of 1D and 2D oscillator lattices subject to noise and predict a dynamical transition that leads to a sudden drastic increase of phase diffusion. Our analysis is based on the widely applicable…

统计力学 · 物理学 2017-08-02 Roland Lauter , Aditi Mitra , Florian Marquardt

The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in a cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic…

强关联电子 · 物理学 2024-09-17 Ivan S. Popov , Anna P. Popova , Pavel V. Prudnikov

We consider a one-dimensional driven-dissipative exciton-polariton condensate under incoherent pump, described by the stochastic generalized Gross-Pitaevskii equation. It was shown that the condensate phase dynamics maps under some…

Predicting the flow of non-Newtonian fluids in porous structure is still a challenging issue due to the interplay betwen the microscopic disorder and the non-linear rheology. In this letter, we study the case of an yield stress fluid in a…

软凝聚态物质 · 物理学 2019-06-26 Chen Liu , Andrea De Luca , Alberto Rosso , Laurent Talon

We study an anisotropic variant of the two-dimensional Kardar-Parisi-Zhang equation, that is relevant to describe growth of vicinal surfaces and has Gaussian, logarithmically rough, stationary states. While the folklore belief (based on…

统计力学 · 物理学 2020-09-29 Giuseppe Cannizzaro , Dirk Erhard , Fabio Toninelli

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of…

计算物理 · 物理学 2012-02-01 X. P. Qin , B. Zheng , N. J. Zhou

We investigate the quench dynamics of a two-dimensional Rashba spin-orbit coupled Bose-Einstein condensate. Our study focuses on quenching the system from a zero-momentum phase to a plane-wave phase. During this quench, topological defects…

量子气体 · 物理学 2025-09-05 Sheng Liu , Yong-Sheng Zhang

Universal behavior in far-from-equilibrium systems is driven by interactions between transport processes and noise structure. The Kardar-Parisi-Zhang (KPZ) framework predicts that extensions incorporating conserved currents or temporally…

Recent investigations have observed superdiffusion in integrable classical and quantum spin chains. An intriguing connection between these spin chains and Kardar-Parisi-Zhang (KPZ) universality class has emerged. Theoretical developments…

统计力学 · 物理学 2023-03-21 Dipankar Roy , Abhishek Dhar , Herbert Spohn , Manas Kulkarni

We study a generalized Kardar-Parisi-Zhang (KPZ) equation [Jana et al., Phys. Rev. E 109, L032104 (2024)] that sets the paradigm for universality in roughening of growing nonequilibrium surfaces without any conservation laws but with…

统计力学 · 物理学 2025-07-29 Debayan Jana , Abhik Basu