2013/07/12 by Jun Ohkubo · 1 citation
Physics and Astronomy · Computer Science · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #Gaussian Processes and Bayesian Inference
paper · doi:10.7566/jpsj.82.084001
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.