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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 4, Pages 46–51 (Mi vmumm423)

This article is cited in 2 papers

Short notes

Mean exit time for a chain of $N=2,3,4$ oscillators

S. A. Muzychka

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An asymptotic formula is obtained for an average time of rupture for a chain of harmonic oscillators consisted of $N=2,3,4$ particles with nearest-neighbor interaction and random external force.

Key words: system of harmonic oscillators, large deviations, Markov process, mean exit time.

UDC: 511

Received: 13.02.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:4, 206–210

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