Elastic manifolds in disordered environments: Energy statistics

The energy of an elastic manifold in a random landscape at T=0 is shown numerically to obey a probability distribution that depends on the size of the box it is put into. If the extent of the spatial fluctuations of the manifold is much less than that of the system, a crossover takes place to the Gu...

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Bibliographic Details
Published in:Europhysics letters 2003-04, Vol.62 (1), p.35-41
Main Authors: Kytölä, K. P. J, Seppälä, E. T, Alava, M. J
Format: Article
Language:English
Subjects:
05.70.Np
68.35.Ct
75.50.Lk
Exact sciences and technology
Fluctuation phenomena, random processes, noise, and brownian motion
Interface and surface thermodynamics
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Thermodynamics
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Summary:The energy of an elastic manifold in a random landscape at T=0 is shown numerically to obey a probability distribution that depends on the size of the box it is put into. If the extent of the spatial fluctuations of the manifold is much less than that of the system, a crossover takes place to the Gumbel distribution of extreme statistics. If they are comparable, the distributions have non-Gaussian, stretched exponential tails. The low-energy and high-energy stretching exponents are roughly independent of the internal dimension and the fluctuation degrees of freedom.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2003-00360-9