From the multibaker map to the fluctuation theorem for currents(Perspectives of Nonequilibrium Statistical Physics-The Memory of Professor Shuichi Tasaki-)

Abstract

An overview is given of work carried out in collaboration with late Professor Shuichi Tasaki on the multibaker map. In this collaboration, the nonequilibrium steady states and the diffusive modes of this model of deterministic diffusion were shown to be described by distributions that are expressed in terms of the nondifferentiable Takagi and de Rham functions, respectively. The link to more recent work is established with a proof of a fluctuation theorem for the current flowing across a multibaker chain connected to two reservoirs.