Elastic manifolds in disordered environments: energy statistics

Details Elastic manifolds in disordered environments: energy statistics Elastic manifolds in disordered environments: energy statistics

2003-01-30

arxiv.org/abs/cond-mat/0301604v1

Europhys. Lett. 62, 35 (2003).

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2003-00360-9

The energy of an elastic manifold in a random landscape at T=0 is shown numerically to obey a probability distribution that depends on 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 cross-over 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.

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