Langevin dynamics for generalized thermodynamics

Dynamics for a generalized thermodynamics due to Tsallis is formulated base d on a new Langevin equation, with classical driving force and nonclassical multiplicative noise. as applications, the Kramers problem (thermal activa tion rate over a potential barrier) and anomalous Brownian motion are consi dered within the framework of the generalized thermodynamics. The dynamics is generalized further by treating temperature as a stochastic variable: le ading lu a Langevin formulation of simulated tempering for efficient Monte- Carlo sampling and optimization.