Coarse-grained forms for equations describing the microscopic motion of particles in a fluid (original) (raw)

Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under nonequilibrium conditions

Shin-ichi Sasa

Physical review. E, Statistical, nonlinear, and soft matter physics, 2006

View PDFchevron_right

Dynamic density functional theory of fluids

Umberto Marini Bettolo Marconi

The Journal of Chemical Physics, 1999

View PDFchevron_right

Comments on the validity of the non-stationary generalized Langevin equation as a coarse-grained evolution equation for microscopic stochastic dynamics

Tanja Schilling

The Journal of Chemical Physics, 2021

View PDFchevron_right

Coarse-graining Brownian motion: From particles to a discrete diffusion equation

Jaime de la Torre

The Journal of Chemical Physics, 2011

View PDFchevron_right

First-principles nonequilibrium deterministic equation of motion of a Brownian particle and microscopic viscous drag

puru gujrati

Physical Review E, 2020

View PDFchevron_right

Brownian motion in a classical ideal gas: A microscopic approach to Langevin’s equation

Arvind Arvind

Pramana, 2004

View PDFchevron_right

Stochastic thermodynamics of active Brownian particles

Debasish Chaudhuri

Physical Review E, 2013

View PDFchevron_right

Statistical mechanics derivation of hydrodynamic boundary conditions: the diffusion equation

Klaus Kroy

Journal of Physics: Condensed Matter, 2002

View PDFchevron_right

Stochastic model for the dynamics of interacting Brownian particles

Miguel R Mayorga

Physica A-statistical Mechanics and Its Applications, 2002

View PDFchevron_right

A dynamic density functional theory for particles in a flowing solvent

Alvaro dominguez

The Journal of Chemical Physics, 2007

View PDFchevron_right

The generalized Langevin equation with Gaussian fluctuations

Ronald Fox

Journal of Mathematical Physics, 1977

View PDFchevron_right

Derivation of a Fokker–Planck equation for generalized Langevin dynamics

Sharon Khan

Physica A: Statistical Mechanics and its Applications, 2005

View PDFchevron_right

Solution of the stochastic Langevin equations for clustering of particles in random flows in terms of the Wiener path integral

Anca Tureanu

Physical Review E, 2010

View PDFchevron_right

Dense inhomogeneous fluids: Functional perturbation theory, the generalized Langevin equation, and kinetic theory

Liudmila Pozhar

The Journal of Chemical Physics, 1991

View PDFchevron_right

Microscopic theory of brownian motion

James T. Hynes

Physica A: Statistical Mechanics and its Applications, 1975

View PDFchevron_right

Macroscopic dynamics through coarse-graining: A solvable example

Alexander Gorban

Physical Review E, 2002

View PDFchevron_right

Dynamic density functional theory versus kinetic theory of simple fluids

Umberto Marini Bettolo Marconi

Journal of Physics: Condensed Matter, 2010

View PDFchevron_right

Brownian motion from molecular dynamics

Peter Talkner

Chemical Physics, 2010

View PDFchevron_right

Statistical Properties of Thermal Noise Driving the Brownian Particles in Fluids

Vladimir Lisy, Jana Tóthová

View PDFchevron_right

Generalized Langevin equations: Anomalous diffusion and probability distributions

Jaume Masoliver

Physical Review E, 1996

View PDFchevron_right

Langevin Equations for Reaction-Diffusion Processes

Federico Benitez

Physical Review Letters, 2016

View PDFchevron_right

Hydrodynamic Limit of Brownian Particles Interacting with Short and Long Range Forces

Paolo Buttà

1998

View PDFchevron_right

Generalized Langevin equation for solids. II. Stochastic boundary conditions for nonequilibrium molecular dynamics simulations

Lev Kantorovich

Physical Review B, 2008

View PDFchevron_right

Equilibrium time correlation functions in the low-density limit

Herbert Spohn

Journal of Statistical Physics, 1980

View PDFchevron_right

Stochastic Burgers and KPZ Equations from Particle Systems

Lorenzo Bertini

Communications in Mathematical Physics, 1997

View PDFchevron_right

Kinetic Density Functional Theory: A Microscopic Approach to Fluid Mechanics

Umberto Marini Bettolo Marconi

Communications in Theoretical Physics, 2014

View PDFchevron_right

Stochastic processes originating in deterministic microscopic dynamics

Sheldon Goldstein

Journal of Statistical Physics, 1983

View PDFchevron_right

A generalized Langevin equation for dealing with nonadditive fluctuations

Paolo Grigolini

Journal of Statistical Physics, 1982

View PDFchevron_right

Additivity, density fluctuations, and nonequilibrium thermodynamics for active Brownian particles

Shraddha Mishra

Physical Review E, 2016

View PDFchevron_right

Coupling Brownian motion and heat equation: Toward a new description of multi-nature phenomena

Emiliano Cristiani

2014

View PDFchevron_right

Langevin equation for driven diffusive systems

Pedro L. Garrido

Physical Review E, 1998

View PDFchevron_right

Generalized Langevin theory on the dynamics of simple fluids under external fields

Tsuyoshi Yamaguchi

The Journal of Chemical Physics, 2005

View PDFchevron_right

Non-linear Brownian motion: the problem of obtaining the thermal Langevin equation for a non-Gaussian bath

Alexander Dubkov, Igor Goychuk

Journal of Statistical Mechanics: Theory and Experiment, 2009

View PDFchevron_right

Brownian motion with time-dependent friction and single-particle dynamics in liquids

Arun Pratap

Physical review, 2022

View PDFchevron_right

Microscopic theory of brownian motion: Mori friction kernel and langevin-equation derivation

James T. Hynes

Physica A: Statistical Mechanics and its Applications, 1975

View PDFchevron_right