Scaling functions for nonequilibrium fluctuations: A picture gallery

Details Scaling functions for nonequilibrium fluctuations: A picture gallery Scaling functions for nonequilibrium fluctuations: A picture gallery

2003-07-20

arxiv.org/abs/cond-mat/0307490v1

SPIE Proceedings, Vol. 5112, pp. 248-258 (2003)

Physics

Condensed Matter

Statistical Mechanics

Invited contribution at SPIE conference on Fluctuations and Noise, Santa Fe, 2003; 9 pages, 6 figures

Scientific paper

10.1117/12.501328

The emergence of non-gaussian distributions for macroscopic quantities in nonequilibrium steady states is discussed with emphasis on the effective criticality and on the ensuing universality of distribution functions. The following problems are treated in more detail: nonequilibrium interface fluctuations (the problem of upper critical dimension of the Kardar-Parisi-Zhang equation), roughness of signals displaying Gaussian 1/f power spectra (the relationship to extreme-value statistics), effects of boundary conditions (randomness of the digits of pi).

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