2013/12/26 by Anik Biswas, Avik Biswas, Biswas, Avik +2
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Diffusion and Search Dynamics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1312.7075
15 pages and 2 figures, errors of previous versions are corrected and a full derivation of alternative equilibrium distribution is given in this version
openalex publication_date 2013/12/26 · arxiv created 2014/10/04 · arxiv updated 2014/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative noise. Here we show that the mapping to an additive noise gives the equilibrium distribution of the generalized Langevin dynamics of a particle with mass. The procedure does not need inclusion of any ad hoc current cancelling term in the Langevin dynamics. The result shows a modified Maxwell-Boltzmann distribution with a damping dependent amplitude.