TY - JOUR

T1 - Constraints in thermodynamic extremal principles for non-local dissipative processes

AU - Hackl, K.

AU - Fischer, Franz-Dieter

AU - Svoboda, Jiří

PY - 2020/9/1

Y1 - 2020/9/1

N2 - Phenomena treated by non-equilibrium thermodynamics can be very effectively described by thermodynamic variational principles. The remarkable advantage of such an approach consists in possibility to account for an arbitrary number of constraints among state or kinetic variables stemming, e.g., from conservation laws or balance equations. As shown in the current paper, the variational principles can provide original evolution equations for the state variables implicitly respecting the constraints. Moreover, the variational approach allows formulating the problem directly in discrete state variables and deriving their evolution equations without the necessity to solve partial differential equations. The variational approach makes it also possible to use different kinetic variables in formulation of dissipation and dissipation function.

AB - Phenomena treated by non-equilibrium thermodynamics can be very effectively described by thermodynamic variational principles. The remarkable advantage of such an approach consists in possibility to account for an arbitrary number of constraints among state or kinetic variables stemming, e.g., from conservation laws or balance equations. As shown in the current paper, the variational principles can provide original evolution equations for the state variables implicitly respecting the constraints. Moreover, the variational approach allows formulating the problem directly in discrete state variables and deriving their evolution equations without the necessity to solve partial differential equations. The variational approach makes it also possible to use different kinetic variables in formulation of dissipation and dissipation function.

KW - Dissipative processes

KW - Thermodynamic extremal principle

KW - Variational principles

UR - http://www.scopus.com/inward/record.url?scp=85075040574&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s00161-019-00846-3

DO - https://doi.org/10.1007/s00161-019-00846-3

M3 - Article

VL - 32

SP - 1337

EP - 1345

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

SN - 0935-1175

IS - 5

M1 - 32

ER -