Nondifferentiable potentials for nonequilibrium steady states

DOI10.1016/0378-4371(87)90151-8zbMath0669.58049OpenAlexW2089280070MaRDI QIDQ1118892

H. R. Jauslin

Publication date: 1987

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

Full work available at URL: http://purl.umn.edu/4500

zbMATH Keywords

stationary probability densitygeneralized thermodynamicweak noise limit of Fokker-Planck models

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Thermodynamics and heat transfer (80A99) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (18)

Action functional and quasi-potential for the burgers equation in a bounded interval ⋮ Perturbative calculation of quasi-potential in non-equilibrium diffusions: a mean-field example ⋮ Enhancing noise-induced switching times in systems with distributed delays ⋮ Noise-induced escape through a chaotic saddle: lowering of the activation energy ⋮ Noise-induced shift of singularities in the pattern of optimal paths ⋮ Uncertain dynamical systems defined by pseudomeasures ⋮ Observable and hidden singular features of large fluctuations in nonequilibrium systems ⋮ Beyond Itô versus Stratonovich ⋮ Singularities in large deviation functionals of bulk-driven transport models ⋮ Singularities in large deviation functions ⋮ Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach ⋮ Weak-noise solution of Fokker-Planck equations with \(n(>2)\) variables: a simpler evaluation near equilibrium points ⋮ Large Fluctuations in a Periodically Driven Dynamical System ⋮ OPTIMAL FLUCTUATIONS AND THE CONTROL OF CHAOS ⋮ Continuum Description for Nonequilibrium Competing Dynamic Models ⋮ Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit ⋮ Geometrical optics of constrained Brownian excursion: from the KPZ scaling to dynamical phase transitions ⋮ A scaling theory of bifurcations in the symmetric weak-noise escape problem.

Cites Work

• On the weak-noise limit of Fokker-Planck models
• Stability theory by Liapunov's direct method
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