A very simple and general microscopic foundation of one of the most
common phenomenological models for dissipation and thermal noise is
provided. If the noise takes the form of an additive force and the
dissipation depends linearly on the system velocity then all statistical
properties of the noise are uniquely fixed, independently to any further
microscopic details of the model. The experimentally relevant friction is
still quite different from the above "bare dissipation". Usually it arises by
way of "renormalization" due to some periodic or random free energy-
type potential landscape.
CECAM - Centre Européen de Calcul Atomique et Moléculaire Station 13, Bat. PPH, 1015 Lausanne, Switzerland