Brownian colloidal particles: Ito, Stratonovich or a different stochastic interpretation
Statistical Mechanics
2015-06-03 v1 Mathematical Physics
math.MP
Abstract
Recent experiments on Brownian colloidal particles have been studied theoretically in terms of overdamped Langevin equations with multiplicative white noise using an unconventional stochastic interpretation. Complementary numerical simulations of the same system are well described using the conventional Stratonovich interpretation. Here we address this dichotomy from a more generic starting point: the underdamped Langevin equation and its corresponding Fokker--Planck equation.
Keywords
Cite
@article{arxiv.1112.3449,
title = {Brownian colloidal particles: Ito, Stratonovich or a different stochastic interpretation},
author = {J. M. Sancho},
journal= {arXiv preprint arXiv:1112.3449},
year = {2015}
}