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Classical and nonlocal theories of nonequilibrium thermodynamics Peter Ván BUTE, Department of Chemical Physics Beyond local equilibrium Relocalizable.

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Presentation on theme: "Classical and nonlocal theories of nonequilibrium thermodynamics Peter Ván BUTE, Department of Chemical Physics Beyond local equilibrium Relocalizable."— Presentation transcript:

1 Classical and nonlocal theories of nonequilibrium thermodynamics Peter Ván BUTE, Department of Chemical Physics Beyond local equilibrium Relocalizable theories Extended irreversible thermodynamics Non relocalizable theories Once again on the Ginzburg-Landau equation

2 Local equilibrium (= there is no microstructure)
Classical Irreversible Thermodynamics Local equilibrium (= there is no microstructure) Violations (nonlocality): in time (memory effects) in space (structure effects) dynamic variables current multipliers + ??

3 Nonlocalities:

4 ? Weakly nonlocal extended thermodynamics
state space constitutive functions Liu procedure (Farkas’s lemma) ?

5 extended (Gyarmati) entropy
entropy current (Nyíri) (B – current multiplier)

6 Ginzburg-Landau (variational)
Second Law Variational (!)

7 ? Ginzburg-Landau (thermodynamic, relocalized)
state space constitutive functions Liu procedure (Farkas’s lemma) ?

8 current multiplier isotropy

9 Ginzburg-Landau (thermodynamic, non relocalizable)
state space constitutive functions Liu procedure (Farkas’s lemma)

10 Conclusions Not everything is a balance
Internal variables are not omnipotent

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