On the Microscopic Conditions for Linear Macroscopic Laws
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF CHEMISTRY
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The authors have investigated the conditions which must be imposed on the microscopic equations of motion to obtain exact linear laws for macroscopic phase averaged variables. The starting point in this study has been the lowest order master equation Pauli equation which is a linear microscopic equation in the state probabilities with a time-independent transition matrix. Discrete and continuous variable master equations as well as their multivariate generalizations have been considered. In the case of continuum state variables, the authors have used various Fokker-Planck equations and their corresponding Langevin equations as their starting microscopic equation of motion. In each case the conditions which must be imposed to obtain linear macroscopic transport equations have been derived and discussed.
- Physical Chemistry