Stochastic metastability by spontaneous localisation

Th Oikonomou, A. Nergis, N. Lazarides, G. P. Tsironis

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Nonequilibrium, quasi-stationary states of a one-dimensional "hard" φ4 deterministic lattice, initially thermalised to a particular temperature, are investigated when brought into contact with a stochastic thermal bath at lower temperature. For lattice initial temperatures sufficiently higher than those of the bath, energy localisation through the formation of nonlinear excitations of the breather type during the cooling process occurs. These breathers keep the nonlinear lattice away from thermal equilibrium for relatively long times. In the course of time some breathers are destroyed by fluctuations, allowing thus the lattice to reach another nonequilibrium state of lower energy. The number of breathers thus reduces in time; the last remaining breather, however, exhibits amazingly long life-time demonstrated by extensive numerical simulations using a quasi-symplectic integration algorithm. For the single-breather states we have calculated the lattice velocity distribution unveiling non-Gaussian features describable in a closed functional form. Moreover, the influence of the coupling constant on the life-time of a single breather has been explored. The latter exhibits power-law behaviour as the coupling constant approaches the anticontinuous limit.

Original languageEnglish
Pages (from-to)228-232
Number of pages5
JournalChaos, Solitons and Fractals
Volume69
DOIs
Publication statusPublished - Dec 1 2014
Externally publishedYes

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Metastability
Breathers
Non-equilibrium
Lifetime
Symplectic Integration
Nonlinear Lattice
Thermal Equilibrium
Velocity Distribution
Stationary States
Energy
Cooling
Power Law
Excitation
Contact
Fluctuations
Numerical Simulation
Closed

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Stochastic metastability by spontaneous localisation. / Oikonomou, Th; Nergis, A.; Lazarides, N.; Tsironis, G. P.

In: Chaos, Solitons and Fractals, Vol. 69, 01.12.2014, p. 228-232.

Research output: Contribution to journalArticle

Oikonomou, Th ; Nergis, A. ; Lazarides, N. ; Tsironis, G. P. / Stochastic metastability by spontaneous localisation. In: Chaos, Solitons and Fractals. 2014 ; Vol. 69. pp. 228-232.
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