Nonuniversality of critical exponents in a fractional quenched Kardar-Parisi-Zhang equation

DOI10.1007/s10955-014-0920-3zbMath1291.82089OpenAlexW2129175485MaRDI QIDQ2249261

Gang Tang, Yueheng Lan, Hui Xia

Publication date: 10 July 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-014-0920-3

zbMATH Keywords

critical exponentsdepinning transitionuniversality classfractional Kardar-Parisi-Zhang equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Critical exponents in context of PDEs (35B33) Dynamic critical phenomena in statistical mechanics (82C27) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Fractional partial differential equations (35R11)

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Growing fractal interfaces in the presence of self-similar hopping surface diffusion
• Dynamics of surface roughening in the space-fractional Kardar–Parisi–Zhang growth: numerical results
• A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles
• Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response
• The spectrum of large powers of the Laplacian in bounded domains
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