An exact thermodynamical model of power-law temperature time scaling

DOI10.1016/J.AOP.2015.08.014zbMath1342.82114OpenAlexW1896434679MaRDI QIDQ530868

Massimiliano Zingales

Publication date: 1 August 2016

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/215507

zbMATH Keywords

fractional derivativepower-lawanomalous conductionfractional transporttemperature evolution

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Transport processes in time-dependent statistical mechanics (82C70) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Cites Work

• Unnamed Item
• Fractional differential equations and related exact mechanical models
• Solution strategies for 1D elastic continuum with long-range interactions: smooth and fractional decay
• Heat waves.
• Long-range cohesive interactions of non-local continuum faced by fractional calculus
• Fractional order theory of thermoelasticity
• Nonlinear extended thermodynamics of a non-viscous fluid in the presence of heat flux
• Fractional-order diffusion-wave equation
• The finite element method for fractional non-local thermal energy transfer in non-homogeneous rigid conductors
• Fractional-order theory of heat transport in rigid bodies
• Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
• A mechanical picture of fractional-order Darcy equation
• The fundamental solution of the space-time fractional diffusion equation
• Multidimensional solutions of time-fractional diffusion-wave equations
• The Minimum Free Energy for Continuous Spectrum Materials
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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