Liu procedure: a method to solve the entropy inequality

May 17, 2022, 3:50 PM
20m

Speaker

Peter Van (Wigner FK, RMI, Elméleti Fizika Osztály)

Description

In modern continuum mechanics there are several mathematical methods to deduce the consequences of the entropy inequality: establis constitutive functions, constitutive relations and evolution equations. These methods are challenged by gradient dependent constitutive state spaces. One of the most powerfull techniques is Liu procedure, a method to solve conditional inequalities. Then one can get thermodynamic compatible gradient expansions including both dissipative and nondissipative parts of the evolution equations. In the presentation I show that the second law restricts the form of evolution equations and with correct spacetime representation one can arrive to gradient expansions that are surprisingly physical: quantum theory and also gravity appear as a natural consequences of the second law [1,2].

[1] Vá, P. ; Kovács, R.
Variational principles and nonequilibrium thermodynamics
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A - MATHEMATICAL PHYSICAL & ENGINEERING SCIENCES 378 : 2170 Paper: 20190178 , 16 p. (2020)

[2] Ván, P.; Abe, S.
Emergence of extended Newtonian gravity from thermodynamics
PHYSICA A - STATISTICAL MECHANICS AND ITS APPLICATIONS 588 Paper: 126505 , 7 p. (2022)

Presentation materials