2009/12/10 by Fei Liu, Huan Tong, Zhong-can Ou-Yang +1 · 1 citation
Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Basis (linear algebra) #Diffusion #Linear system #Neural dynamics and brain function #Path (computing) #Point (geometry) #Transient (computer programming) #Transient response #Variety (cybernetics) #cond-mat.mes-hall #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8113/43/49/495003
arxiv created 2009/12/10 · openalex publication_date 2010/11/18 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A formal apparatus is developed to unify derivations of the linear response theory and a variety of transient fluctuation relations for continuous diffusion processes from a backward point of view. The basis is a perturbed Kolmogorov backward equation and the path integral representation of its solution. We find that these exact transient relations could be interpreted as a consequence of a generalized Chapman–Kolmogorov equation, which intrinsically arises from the Markovian characteristic of diffusion processes.