2003/01/30 by Kalle Kytölä, K. P. J. Kytölä, E. Seppälä +2 · 5 citations
Materials Science · Mathematics · Physics and Astronomy · #Energy (signal processing) #Geology #Material Dynamics and Properties #Mathematics #Physics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2003-00360-9
published in Europhysics Letters (EPL) 62(1), 35-41 (Institute of Physics) · Accepted for publication in Europhysics Letters
arxiv created 2003/01/30 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.