Report/Journal Article

PUBDB-2017-01596

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Nonequilibrium random matrix theory: Transition probabilities

Pedro, F. G. ; Westphal, A.DESY*

2017
APS Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevE.95.032144  doi:10.3204/PUBDB-2017-01596

Report No.: DESY-16-104; IFT-UAM-CSIC-16-053; arXiv:1606.07768

Abstract: In this paper we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion. We show that in the Coulomb gas language, in large N limit, memory of the initial state is preserved in the form of a universal linear potential acting on the eigenvalues. We compute the likelihood of any given transition as a function of time, showing that as memory of the initial state is lost, transition probabilities converge to those of the static ensemble.

Keyword(s): matrix model: random ; potential: linear ; gas: Coulomb ; initial state ; expansion 1/N ; time dependence ; Brownian motion

Note: REVTeX, 5 pages, 2 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. SPLE - String Phenomenology in the LHC Era (320421) (320421)
3. STRINGFLATION - Inflation in String Theory - Connecting Quantum Gravity with Observations (647995) (647995)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Pedro, F. G. ; Westphal, A. (Corresponding author)DESY*
Non-Equilibrium Random Matrix Theory : Transition Probabilities
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