Tunnel canonical operator in thermodynamics

DOI10.1007/s10688-006-0029-9zbMath1118.82040OpenAlexW2081205221MaRDI QIDQ883624

V. P. Maslov, Vladimir E. Nazaikinskii

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0029-9

zbMATH Keywords

tunnel canonical operatorkinetic coefficientsstatistical potentialthermodynamic Lagrangian manifold

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (11)

Fluctuations of intensive quantities in statistical thermodynamics ⋮ Nonsmooth nonoscillating WKB-Maslov-type asymptotics for linear parabolic PDE ⋮ Revision of probability theory from the point of view of quantum statistics ⋮ Global-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motion ⋮ An asymptotics of the Pauli problem in thermodynamics ⋮ The lack-of-preference law and the corresponding distributions in frequency probability theory ⋮ A tropical analogue of the Pauli problem and a splitting of quasithermodynamics ⋮ Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics ⋮ Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter ⋮ Development of Maslov's approach to the construction of nonoscillating WKB-type solutions ⋮ Forward and backward in time Cauchy problems for systems of parabolic-type PDE with a small parameter

Cites Work

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• The Zipf-Mandelbrot law: quantization and an application to the stock market
• The lack-of-preference law and the corresponding distributions in frequency probability theory
• Geometric quantization of thermodynamics, phase transitions, and asymptotes at critical points
• A discussion of the first law of thermodynamics for open systems

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