1999/09/30 by P.-A. Barès, Pierre-Antoine Bares, Mauro Mobilia · 16 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Annihilation #Applied mathematics #Class (philosophy) #Computer science #Differential equation #Diffusion #Dimension (graph theory) #Focus (optics) #Generality #Geometry #Mathematical analysis #Mathematics #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Set (abstract data type) #Simple (philosophy) #Statistical physics #Stochastic differential equation #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.83.5214
published in Physical Review Letters 83(25), 5214-5217 (American Physical Society) · 2 figures
arxiv created 1999/10/11 · openalex publication_date 1999/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a simple method that allows, in one dimension, to solve exactly a wide class of classical stochastic many-body systems far from equilibrium. For the sake of illustration and without loss of generality, we focus on a model that describes the asymmetric diffusion of hard core particles in the presence of an external source and instantaneous annihilation. Starting from a master equation formulation of the problem, we show that the density and multipoint correlation functions obey a closed set of integro-differential equations which in turn can be solved numerically and/or analytically.