The Kardar-Parisi-Zhang equation and its matrix generalization

DOI10.1007/s11232-014-0148-zzbMath1302.35478OpenAlexW2076748194MaRDI QIDQ461610

S. L. Ogarkov, Leonid V. Bork

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0148-z

zbMATH Keywords

renormalization groupeffective potentialKardar-Parisi-Zhang equationstochastic PDE\(1/N\)-expansion

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Random interface growth in a random environment: renormalization group analysis of a simple model ⋮ Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations ⋮ Static approach to renormalization group analysis of stochastic models with spatially quenched noise ⋮ The Kardar–Parisi–Zhang model of a random kinetic growth: effects of a randomly moving medium

Cites Work

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• Field theory approach in kinetic reaction: role of random sources and sinks
• Small-scale properties of the KPZ equation and dynamical symmetry breaking
• On the perturbation expansion of the KPZ equation
• Matrix generalizations of some dynamic field theories
• Effective action for stochastic partial differential equations
• Dynamic Scaling of Growing Interfaces
• Renormalization group in the infinite-dimensional turbulence: third-order results

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