Dynamical symmetries of stochastic processes

R. D. Levine; C. E. Wulfman

doi:10.1016/0009-2614(85)80254-2

Dynamical symmetries of stochastic processes

R. D. Levine^*, C. E. Wulfman

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The matrix master equation governing the time evolution of probabilities for a system in disequilibrium is rewritten as a linear differential equation. The (time-dependent) constraints to be used in the maximum entropy formalism so as to obtain an exact solution of the master equation are identified. They are shown to be the generators of entropy production. The Lie symmetries of the differential equation can be utilized much as in the case of Hamiltonian time evolution.

Original language	English
Pages (from-to)	253-256
Number of pages	4
Journal	Chemical Physics Letters
Volume	113
Issue number	3
DOIs	https://doi.org/10.1016/0009-2614(85)80254-2
State	Published - 18 Jan 1985

Access to Document

10.1016/0009-2614(85)80254-2

Cite this

@article{08a69842952a49e79f59b4e809c0a55b,

title = "Dynamical symmetries of stochastic processes",

abstract = "The matrix master equation governing the time evolution of probabilities for a system in disequilibrium is rewritten as a linear differential equation. The (time-dependent) constraints to be used in the maximum entropy formalism so as to obtain an exact solution of the master equation are identified. They are shown to be the generators of entropy production. The Lie symmetries of the differential equation can be utilized much as in the case of Hamiltonian time evolution.",

author = "Levine, {R. D.} and Wulfman, {C. E.}",

year = "1985",

month = jan,

day = "18",

doi = "10.1016/0009-2614(85)80254-2",

language = "אנגלית",

volume = "113",

pages = "253--256",

journal = "Chemical Physics Letters",

issn = "0009-2614",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Dynamical symmetries of stochastic processes

AU - Levine, R. D.

AU - Wulfman, C. E.

PY - 1985/1/18

Y1 - 1985/1/18

N2 - The matrix master equation governing the time evolution of probabilities for a system in disequilibrium is rewritten as a linear differential equation. The (time-dependent) constraints to be used in the maximum entropy formalism so as to obtain an exact solution of the master equation are identified. They are shown to be the generators of entropy production. The Lie symmetries of the differential equation can be utilized much as in the case of Hamiltonian time evolution.

AB - The matrix master equation governing the time evolution of probabilities for a system in disequilibrium is rewritten as a linear differential equation. The (time-dependent) constraints to be used in the maximum entropy formalism so as to obtain an exact solution of the master equation are identified. They are shown to be the generators of entropy production. The Lie symmetries of the differential equation can be utilized much as in the case of Hamiltonian time evolution.

UR - http://www.scopus.com/inward/record.url?scp=46549098860&partnerID=8YFLogxK

U2 - 10.1016/0009-2614(85)80254-2

DO - 10.1016/0009-2614(85)80254-2

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:46549098860

SN - 0009-2614

VL - 113

SP - 253

EP - 256

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 3

ER -

Dynamical symmetries of stochastic processes

Abstract

Access to Document

Other files and links

Fingerprint

Cite this