Preprint/Report

PUBDB-2016-02550

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Non-Equilibrium Random Matrix Theory : Transition Probabilities

Pedro, F. G. ; Westphal, A. (Corresponding author)DESY*

2016

This record in other databases:  

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

Abstract: In this letter 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.

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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 2016

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Pedro, F. G. ; Westphal, A.DESY*
Nonequilibrium random matrix theory: Transition probabilities
Physical review / E 95(3), 032144 (2017) [10.1103/PhysRevE.95.032144]2017     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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