Properties of the generalized master equation: Green's functions and probability density functions in the path representation

J Chem Phys. 2007 Jul 21;127(3):034103. doi: 10.1063/1.2743969.

Abstract

The Green's function for the master equation and the generalized master equation in path representation is an infinite sum over the length of path probability density functions (PDFs). In this paper, the properties of path PDFs are studied both qualitatively and quantitatively. The results are used in building efficient approximations for Green's function in 1D, and are relevant in modeling and in data analysis.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.