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Phys. Rev. E 55, 4005 - 4011 (1997)

Effect of partially reflecting boundary conditions on the decay of metastable rest states in an activator-inhibitor system

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G. Izús1, R. Deza1, H. S. Wio2, and C. Borzi3
1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Deán Funes 3350,
2Centro Atómico Bariloche (CNEA) and Instituto Balseiro (UNC), 8400 San Carlos de Bariloche, Argentina
3MONDITEC S.A., Olazabal 1927, 2do.A, 1428 Buenos Aires, Argentina

Received 23 May 1996

We study the effect of the boundary conditions on the spontaneous nucleation and evaporation of excited domains in the bistable regime of an activator-inhibitor stochastic system. In such a regime a quasivariational approximation can be used to obtain the stationary distribution. The nucleation and evaporation rates of the resulting nonuniform structures are investigated using a piecewise-linear dynamics to obtain analytical results.


©1997 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.55.4005
DOI: 10.1103/PhysRevE.55.4005
PACS: 02.50.-r, 05.40.+j, 47.54.+r

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