On exact identity between thermodynamic and informatic entropies in a   unitary model of friction
  An elementary collision model of a molecular reservoir is considered upon which an external field is applied and the work is dissipated into heat. To realize macroscopic irreversibility at the microscopic level, we introduce a ``graceful'' irreversible map which randomly mixes the identities of the molecules. This map is expected to generate informatic entropy exactly equal to the independently calculable irreversible thermodynamic entropy. 
Lajos Di\'osi, Tova Feldmann and Ronnie Kosloff