title: Kramers' rate for systems with multiplicative noise.
abstract: Kramers' rate for the passage of trajectories X(t) over an energy barrier due to thermal or other fluctuations is usually associated with additive noise. We present a generalization of Kramers' rate for systems with multiplicative noise. We show that the expression commonly used in the literature for multiplicative noise is not correct, and we present results of numerical integrations of the Langevin equation for dX(t)/dt evolving in a quartic bistable potential which corroborate our claim.
authors: Departamento de Física, CCEN, Universidade Federal da Paraíba, Caixa Postal 5008, 58059-900, João Pessoa, Brazil.
authors: Alexandre
authors: A
authors: Rosas
authors: Department of Chemistry and Biochemistry and BioCircuits Institute, University of California, San Diego, La Jolla, California 92093-0340, USA.
authors: Italo'Ivo Lima Dias
authors: IL
authors: Pinto
authors: Department of Chemistry and Biochemistry and BioCircuits Institute, University of California, San Diego, La Jolla, California 92093-0340, USA.
authors: Katja
authors: K
authors: Lindenberg