A. Perez-Madrid
Published 2004-01-27Version 1
This contribution is dedicated to dilucidating the role of the Gibbs entropy in the discussion of the emergence of irreversibility in the macroscopic world from the microscopic level. By using an extension of the Onsager theory to the phase space we obtain a generalization of the Liouville equation describing the evolution of the distribution vector in the form of a master equation. This formalism leads in a natural way to the breaking of the BBGKY hierarchy. As a particular case we derive the Boltzmann equation.
System size expansion for the probability distribution of the Master equation
Exact Solution of the Master Equation for the Asymmetric Exclusion Process
On the dispute between Boltzmann and Gibbs entropy
