New unified formulation of transient phenomena near the instability point on the basis of the Fokker-Planck equation

DOI10.1016/0378-4371(83)90023-7zbMath0525.35074OpenAlexW1984320505MaRDI QIDQ594293

Masuo Suzuki

Publication date: 1983

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(83)90023-7

zbMATH Keywords

fluctuationscaling theoryFokker- Planck equationgeneralized infinite-dimensional Lie algebrainstability pointtransient phenomenatwo-dimensional Lie-algebraunified formulationunified theory of transient phenomena

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics, Quasilinear approximations for the propagator of the Fokker-Planck equation, Numerical estimation of the path integral, and the diffusion in an anharmonic oscillator, Search for the symmetry of the Fokker-Planck equation, Symmetry and classes of transport equations, Two alternative methods for solving the Vlasov Fokker–Planck equation

Cites Work

• Dynamics of the Noise-Induced Phase Transition of the Verhulst Model
• Taylor's theorem for shift operators
• A POWER SERIES EXPANSION OF THE MASTER EQUATION
• The amplitude equation near the convective threshold: application to time-dependent heating experiments
• Exponential Operators and Parameter Differentiation in Quantum Physics
• Generalized Cumulant Expansion Method