Scaling functions for nonequilibrium fluctuations: a picture gallery

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 π).

• Publication year

  2003

• Venue

  SPIE International Symposium on Fluctuations and Noise

• Publication date

  2003-05-09

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1117/12.501328arXiv cond-mat/0307490
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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