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We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

统计力学 · 物理学 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

统计力学 · 物理学 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

The investigation of the coupled atmosphere-ocean system is not only scientifically challenging but also practically important. We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics, and random…

动力系统 · 数学 2007-05-23 J. Duan , H. Gao , B. Schmalfuss

The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagnetic chains whose low-energy effective field theory is…

统计力学 · 物理学 2019-11-06 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

数学物理 · 物理学 2015-06-12 Raphael Lefevere

In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for…

概率论 · 数学 2012-09-27 Alina Chertock , Alexander Kurganov , Anthony Polizzi , Ilya Timofeyev

Active fluids operate by constantly dissipating energy at the particle level to perform a directed motion, yielding dynamics and phases without any equilibrium equivalent. The emerging behaviors have been studied extensively, yet…

统计力学 · 物理学 2020-02-03 Étienne Fodor , Takahiro Nemoto , Suriyanarayanan Vaikuntanathan

Experiments of periodically sheared colloidal suspensions or soft amorphous solids display a transition from reversible to irreversible particle motion that, when analysed stroboscopically in time, is interpreted as an absorbing phase…

软凝聚态物质 · 物理学 2022-03-14 Romain Mari , Eric Bertin , Cesare Nardini

We examine the behavior of the diffusion coefficient of the ST2 model of water over a broad region of the phase diagram via molecular dynamics simulations. The ST2 model has an accessible liquid-liquid transition between low-density and…

统计力学 · 物理学 2012-08-07 Peter H. Poole , Stephen R. Becker , Francesco Sciortino , Francis W. Starr

Metastable condensed matter typically fluctuates about local energy minima at the femtosecond time scale before transitioning between local minima after nanoseconds or microseconds. This vast scale separation limits the applicability of…

计算物理 · 物理学 2017-11-22 Brittan A Farmer , Mitchell Luskin , Petr Plecháč , Gideon Simpson

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

无序系统与神经网络 · 物理学 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the…

统计力学 · 物理学 2015-05-19 Shin-ichi Sasa

The morphogenesis of cells and tissues involves an interplay between chemical signals and active forces on their surrounding surface layers. The complex interaction of hydrodynamics and material flows on such active surfaces leads to…

细胞行为 · 定量生物学 2023-06-30 Sebastian Aland , Claudia Wohlgemuth

We compare ergodic properties of the kinetic energy for three stochastic models of subrecoil-laser-cooled gases. One model is based on a heterogeneous random walk (HRW), another is an HRW with long-range jumps (the exponential model), and…

统计力学 · 物理学 2022-07-13 Takuma Akimoto , Eli Barkai , Günter Radons

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

软凝聚态物质 · 物理学 2017-11-29 Elsen Tjhung , Ludovic Berthier

We present a non-diagonal phase field model for phase transformations with unequal but finite diffusivities in the two phases. This model allows to recover the desired boundary conditions at the interface, and especially the elimination of…

材料科学 · 物理学 2017-06-28 G. Boussinot , Efim A. Brener , C. Hueter , R. Spatschek

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

软凝聚态物质 · 物理学 2011-09-14 Markus Bier , Rene van Roij

We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's…

偏微分方程分析 · 数学 2022-06-16 Apratim Bhattacharya , Markus Gahn , Maria Neuss-Radu

We introduce a minimal model for a collection of self-propelled apolar active particles, also called as `active nematic', on a two-dimensional substrate and study the order-disorder transition with the variation of density. The particles…

统计力学 · 物理学 2015-09-18 Rakesh Das , Manoranjan Kumar , Shradha Mishra

We study the hydrodynamic limit for a periodic $1$-dimensional exclusion process with a dynamical constraint, which prevents a particle at site $x$ from jumping to site $x\pm1$ unless site $x\mp1$ is occupied. This process with degenerate…

概率论 · 数学 2020-10-23 Oriane Blondel , Clément Erignoux , Makiko Sasada , Marielle Simon