Entropy Production in Phase Field Theories

Ván, Peter

doi:10.1007/978-3-030-29951-4_16

Peter Ván^8,9

Part of the book series: Mathematics of Planet Earth ((MPE,volume 6))

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Abstract

Allen–Cahn (Ginzburg–Landau) dynamics for scalar fields with heat conduction is treated in rigid bodies using a nonequilibrium thermodynamic framework with weakly nonlocal internal variables . The entropy production and entropy flux is calculated with the classical method of irreversible thermodynamics by separating full divergences.

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Acknowledgements

The work was supported by the grants National Research, Development and Innovation Office – NKFIH 116197(116375), NKFIH 124366(124508) and NKFIH 123815.

The paper is dedicated to Jüri Engelbrecht on the occasion of his 80th birthday.

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Department of Theoretical Physics, Wigner Research Centre for Physics, Budapest, Hungary
Peter Ván
Department of Energy Engineering, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary
Peter Ván

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Correspondence to Peter Ván .

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Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia
Arkadi Berezovski
Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia, Estonian Academy of Sciences, Tallinn, Estonia
Tarmo Soomere

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Ván, P. (2019). Entropy Production in Phase Field Theories. In: Berezovski, A., Soomere, T. (eds) Applied Wave Mathematics II. Mathematics of Planet Earth, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-29951-4_16

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DOI: https://doi.org/10.1007/978-3-030-29951-4_16
Published: 16 November 2019
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-29950-7
Online ISBN: 978-3-030-29951-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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