Dissipation and the Foundations of Statistical Thermodynamics

Prof. Denis Evans (Australian National University)
csü., 2012-08-23 14:00
083-as terem

Denis J Evans, Stephen R Williams and Debra J Searles

Over the last 15 years we have discovered a group of related theorems that enable us to prove the "laws" of thermodynamics. Each of these "laws" is provable for time reversible, deterministic equations of motion that satisfy a mathematical condition called T-mixing. The axiom of causality is also required. These proofs involve a new mathematical quantity first defined in 2000, namely dissipation. Dissipation, not entropy, turns out to be the central quantity for the fluctuation theorems, the dissipation theorems, linear and nonlinear response theory, and the relaxation theorem. The relaxation Theorem gives for the first time, a proof of relaxation the the Boltzmann-Gibbs distribution for systems in thermal equilibrium. Using dissipation we can also derive Clausius' Inequality and Equality, without assuming the Second "Law" of thermodynamics.