The Boltzmann-Langevin equation derived from the real-time path formalism
type: Item
instance of: scholarly article
title: The Boltzmann-Langevin equation derived from the real-time path formalism
zbMATH Open document ID: 0748.60106
DOI: 10.1016/0003-4916(92)90289-X
author: P.-G. Reinhard
author: E. Suraud
author: Sakir Ayik
published in: Annals of Physics
publication date: 1992-09-27T00:00:00Z
review text: We derive the Boltzmann-Langevin equation using Green's function techniques in the real time path formalism. We start from the Martin- Schwinger hierarchy and close it approximately at the two-body level. A careful discussion of the initial conditions for the free two-body Green's function provides the flexibility to recover the discarded correlations as fluctuations leading to the Langevin force. The derivation is generalized to the \(T\)-matrix approach which allows to prove that one can use the same effective interaction in the meanfield as well as in the collision term and Langevin force.
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 62653
zbMATH Keywords: Boltzmann-Langevin equation
zbMATH Keywords: Green's function techniques
zbMATH Keywords: interaction in the meanfield
MaRDI profile type: Publication
cites work: Q5723849
cites work: Quantum-mechanical perturbations giving rise to a statistical transport equation
cites work: Q4748912
full work available at URL: 0003-4916(92)90289-x
OpenAlex ID: W1986984010
description: scientific article; zbMATH DE number 62653