Ir arriba
Información del artículo

Numerical experiments on noisy chains: From collective transitions to nucleation-diffusion

M. Castro, G. Lythe

We consider chains of particles with nearest-neighbor coupling, independently subjected to noise, all initially in the same well of a symmetric double-well potential. If there are sufficiently few particles, transitions from one well to another are “collective”; i.e., all particles remain close together as they make the passage from one well to the other. In longer chains, only a fraction of the particles make an initial transition, creating a nucleated region that may grow or collapse by diffusion of its boundaries. Numerical experiments are used to explore the change of the scaling of the passage time as a function of the length of the chain, which distinguishes the two regimes. A suitable relationship between the noise amplitude, coupling, and number of particles in the chain yields convergence to the continuum $\\phi^4$ or Allen–Cahn stochastic partial differential equations in one space dimension. We estimate the characteristic width of newly nucleated regions and construct a numerical effective potential describing the dynamics in the nucleation-diffusion regime.


Keywords: Stochastics, nucleation, passage time


SIAM Journal on Applied Dynamical Systems. Volumen: 7 Numero: 1 Páginas: 207-219

Journal Impact Factor: JCR impact factor 1.486 (2017)

DOI reference: DOI icon 10.1137/070695514    

Publicado en papel: Enero 2008.


    Líneas de investigación:

Aviso legal  |  Política de cookies |  Política de Privacidad

© Universidad Pontificia Comillas, Escuela Técnica Superior de Ingeniería - ICAI, Instituto de Investigación Tecnológica

Calle de Santa Cruz de Marcenado, 26 - 28015 Madrid, España - Tel: (+34) 91 5422 800