Print Email Facebook Twitter Nonisothermal activation: Nonlinear transport theory Title Nonisothermal activation: Nonlinear transport theory Author Dekker, H. Maassen van den Brink, A. TNO Fysisch en Elektronisch Laboratorium Publication year 1998 Abstract We present the statistical mechanical foundation of nonisothermal stochastic processes, thereby generalizing Kramers' Fokker-Planck model for thermal activation and providing a microscopic context for Rolf Landauer's original ideas on state-dependent diffusion. By applying projection operator methods suitable for nonlinear mesoscopic systems coupled to a heat bath, we develop the theory of classical Brownian motion (in position and momentum) including the local temperature as a dynamical variable. The ensuing stochastic process involves a microcanonical effective mean force different from the free energy gradient, while the equilibrium potential is given by the availability. The effective spatial diffusion coefficient in the Smoluchowski limit is calculated. The microcanonical analysis corresponds to the case of small thermal conductance Subject Physics To reference this document use: http://resolver.tudelft.nl/uuid:bdd21d14-6a0a-489f-bb21-414f9aec527f TNO identifier 95083 Source Superlattices and Microstructures, 23 (3/4), 479-494 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.