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This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

统计力学 · 物理学 2014-07-29 Jiří Pešek

We study the dynamics of condensation in a misanthrope process with nonlinear jump rates and factorized stationary states. For large enough density, it is known that such models have a phase separated state, with a non-zero fraction of the…

统计力学 · 物理学 2021-07-21 Yu-Xi Chau , Colm Connaughton , Stefan Grosskinsky

It is shown using numerical simulations that flow patterns around an obstacle potential moving in a superfluid exhibit hysteresis. In a certain velocity region, there is a bistability between stationary laminar flow and periodic vortex…

量子气体 · 物理学 2015-06-19 Tsuyoshi Kadokura , Jun Yoshida , Hiroki Saito

The dissipation associated with nonequilibrium flow processes is reflected by the formation of strange attractor distributions in phase space. The information dimension of these attractors is less than that of the equilibrium phase space,…

混沌动力学 · 物理学 2009-11-07 Wm. G. Hoover , H. A. Posch , K. Aoki , D. Kusnezov

Understanding the asymptotic behavior of reaction-diffusion (RD) systems is crucial for modeling processes ranging from species coexistence in ecology to biochemical interactions within cells. In this work, we analyze RD systems in which…

动力系统 · 数学 2025-02-18 Carlos Barajas , Jean-Jacques Slotine , Domitilla Del Vecchio

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in…

量子气体 · 物理学 2011-07-22 Takuya Kitagawa , Adilet Imambekov , Jörg Schmiedmayer , Eugene Demler

In this paper a stochastic reaction diffusion system is considered, which models the spread of a finite population reacting with a non-renewable resource in the presence of individual based noise. A two-parameter phase diagram is…

概率论 · 数学 2009-01-27 Carl Mueller , Roger Tribe

Within the framework of Lorentz model for description of viscoelastic medium the influence of deformational defect of the shear modulus is studied on melting of ultrathin lubricant film confined between the atomically flat solid surfaces.…

统计力学 · 物理学 2009-11-11 A. V. Khomenko , I. A. Lyashenko

The hysteresis of the Ising model in a spatially homogeneous AC field is studied using both mean-field calculations and two-dimensional Monte Carlo simulations. The frequency dispersion and the temperature dependence of the hysteresis loop…

材料科学 · 物理学 2009-11-10 Han Zhu , Shuai Dong , J. -M. Liu

We present a modelling approach for diffusion in a complex medium characterized by a random length scale. The resulting stochastic process shows subdiffusion with a behavior in qualitative agreement with single particle tracking experiments…

统计力学 · 物理学 2016-12-14 Daniel Molina-García , Tuan Minh Pham , Paolo Paradisi , Carlo Manzo , Gianni Pagnini

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

统计力学 · 物理学 2020-09-17 Roland R. Netz

We consider a driven damped anharmonic oscillator which classically leads to a bistable steady state and to hysteresis. The quantum counterpart for this system has an exact analytical solution in the steady state which does not display any…

量子物理 · 物理学 2009-10-30 M. Rigo , G. Alber , F. Mota-Furtado , P. F. O'Mahony

Coherent large-scale circulations of turbulent thermal convection in air have been studied experimentally in a rectangular box heated from below and cooled from above using Particle Image Velocimetry. The hysteresis phenomenon in turbulent…

流体动力学 · 物理学 2009-11-11 A. Eidelman , T. Elperin , N. Kleeorin , A. Markovich , I. Rogachevskii

Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this Letter we propose a global…

patt-sol · 物理学 2007-05-23 Silvina Ponce Dawson , Maria Veronica D'Angelo , John E. Pearson

Using information theory we derive a thermodynamics for systems evolving under a collective motion, i.e. under a time-odd constraint. An illustration within the Lattice gas Model is given for two model cases: a collision between two complex…

核理论 · 物理学 2015-06-26 F. Gulminelli , PH. Chomaz

Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising…

概率论 · 数学 2013-12-03 Gioia Carinci

Hysteresis, with rich dynamical behaviors-especially in interacting systems-has drawn broad research interest. Yet its dynamic scalings across time scales lack a unified description, and their transitions remain unclear. Here, we study the…

统计力学 · 物理学 2026-05-19 Miao Chen , Xiu-Hua Zhao , Yu-Han Ma

In this paper we consider a nonlinear partial differential equation describing heat flow with ice-water phase transition in permafrost soils. Such models and their numerical approximations have been well explored in the applications…

数值分析 · 数学 2024-06-18 Malgorzata Peszynska , Nicholas Slugg

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

材料科学 · 物理学 2015-06-11 Lasse Laurson , Mikko J. Alava

We present evidence of the hysteretic nature of dissipation in unsteady turbulent flows. Wind tunnel experiments and direct numerical simulations in oscillating flows show that, at fixed mean Reynolds number, the dissipation constant is…

流体动力学 · 物理学 2025-10-28 M. Ahmad , P. D. Mininni , M. Obligado , J. A. Farnsworth