Algebraic Probability, Classical Stochastic Processes, and Counting Statistics

作者：Ohkubo Jun^*

来源：Journal of the Physical Society of Japan, 2013, 82(8): 084001.

DOI：10.7566/JPSJ.82.084001

• master equation
• generating function
• Doi-Peliti method
• non-equilibrium current
• Fock space representation

We study a connection between the algebraic probability and classical stochastic processes described by master equations. Introducing a definition of a state which has not been used for quantum cases, the classical stochastic processes can be reformulated in terms of the algebraic probability. This reformulation immediately gives the Doi-Peliti formalism, which has been frequently used in nonequilibrium physics. As an application of the reformulation, we give a derivation of basic equations for counting statistics, which plays an important role in nonequilibrium physics.

• 出版日期2013-8