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A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

Classical-like formulas are given in order to evaluate thermal averages of observables belonging to a quantum nonlinear system with dissipation described by the Caldeira-Leggett model [Phys. Rev. Lett. 46, 211 (1981); Ann. Phys. (N.Y.) 149,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Andrea Rossi , Valerio Tognetti , Ruggero Vaia

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

We study the trajectories of a single colloidal particle as it hops between two energy wells A and B, which are sculpted using adjacent optical traps by controlling their respective power levels and separation. Whereas the dynamical…

Data Analysis, Statistics and Probability · Physics 2008-03-05 David Wu , Kingshuk Ghosh , Mandar Inamdar , Heun Jin Lee , Scott Fraser , Ken Dill , Rob Phillips

We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons,…

Mathematical Physics · Physics 2007-05-23 Volker Betz , Fumio Hiroshima , Jozsef Lorinczi , Robert A. Minlos , Herbert Spohn

Ab initio thermodynamics is a widespread, computationally efficient approach to predict the stable configuration of a surface in contact with a surrounding (gas or liquid) environment. In a prevalent realization of this approach, this…

Chemical Physics · Physics 2025-09-18 Hendrik H. Heenen , Karsten Reuter

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Particles interacting with short-ranged potentials have attracted increasing interest, partly for their ability to model mesoscale systems such as colloids interacting via DNA or depletion. We consider the free energy landscape of such…

Mathematical Physics · Physics 2015-06-11 Miranda Holmes-Cerfon , Steven J. Gortler , Michael P. Brenner

When a system has more than one stable state, how can the stability of these states be compared? This deceptively simple question has important consequences for ecosystems, because systems with alternative stable states can undergo dramatic…

Populations and Evolution · Quantitative Biology 2015-10-26 Ben C. Nolting , Karen C. Abbott

A thermodynamics for systems at a stationary states is formulated. It is based upon the assumption of the existence of local equilibrium in phase space which enables one to interpret the probability density ans its conjugated nonequilibrium…

Statistical Mechanics · Physics 2007-05-23 I. Santamaria-Holek , J. M. Rubi , A. Perez-Madrid

Progress in the research area of colloidal dispersions in external fields within the last years is reviewed. Colloidal dispersions play a pivotal role as model systems for phase transitions in classical statistical mechanics. In recent…

Soft Condensed Matter · Physics 2013-11-26 Hartmut Löwen

We seek to infer the parameters of an ergodic Markov process from samples taken independently from the steady state. Our focus is on non-equilibrium processes, where the steady state is not described by the Boltzmann measure, but is…

Statistical Mechanics · Physics 2018-02-19 Simon Lee Dettmer , Johannes Berg

A new method is proposed to numerically extract the diffusivity of a (typically nonlinear) diffusion equation from underlying stochastic particle systems. The proposed strategy requires the system to be in local equilibrium and have…

Statistical Mechanics · Physics 2018-05-09 Peter Embacher , Nicolas Dirr , Johannes Zimmer , Celia Reina

We study long-range interacting systems driven by external stochastic forces that act collectively on all the particles constituting the system. Such a scenario is frequently encountered in the context of plasmas, self-gravitating systems,…

Statistical Mechanics · Physics 2013-12-03 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

We study relaxation towards a stationary out of equilibrium state by analizing a one-dimensional stochastic process followed by a particle accelerated by an external field and propagating through a thermal bath. The effect of collisions is…

Statistical Mechanics · Physics 2010-09-17 Angel Alastuey , Jaroslaw Piasecki

We examined the Brownian motion of point defects in a two-dimensional hexagonal colloidal crystal, going beyond the conventional treatment that assumes constant diffusion coefficients. By extracting the spatially varying drift vector and…

Soft Condensed Matter · Physics 2026-05-18 Huang Xicheng , Liu Zefei , Chen Yong-Cong , Yang Guohong , Ao Ping

We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic collision process. We apply our method to…

chao-dyn · Physics 2007-05-23 K. Rateitschak , R. Klages , G. Nicolis

A Rayleigh-Taylor-like instability of a dense colloidal layer under gravity in a capillary of microfluidic dimensions is considered. We access all relevant lengthscales with particle-level microscopy and computer simulations which…

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

Soft Condensed Matter · Physics 2020-04-15 Tanniemola B. Liverpool