Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part III extensions and applications to kinetic theory and transport

DOI10.1088/1751-8121/aa79d6zbMath1376.82094arXiv1609.07607OpenAlexW2524662908MaRDI QIDQ5364947

Silvestro Crescitelli, Antonio Brasiello, Massimiliano Giona

Publication date: 29 September 2017

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

Full work available at URL: https://arxiv.org/abs/1609.07607

zbMATH Keywords

stochastic processeskinetic theorytransport theoryKac's programnonlinear Langevin equations

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

Related Items (6)

On the long-term simulation of stochastic differential equations for predicting effective dispersion coefficients ⋮ Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics ⋮ Slow diffusion by Markov random flights ⋮ Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part I basic theory ⋮ Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part II Irreversibility, norms and entropies ⋮ Hyperbolic heat/mass transport and stochastic modelling -- three simple problems

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• Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part II Irreversibility, norms and entropies
• On the Convergence of Ordinary Integrals to Stochastic Integrals
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• On the kinetic theory of rarefied gases
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