The meaning of the Second Law: Nonlocal effects in continuum physics Peter Ván BUTE, Department of Chemical Physics –Irreversibility concepts in thermodynamics.

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Presentation transcript:

The meaning of the Second Law: Nonlocal effects in continuum physics Peter Ván BUTE, Department of Chemical Physics –Irreversibility concepts in thermodynamics –Stability and the Second Law –How to construct constitutive functions? –Example: Ginzburg-Landau equation

–Concepts –Concepts and theories –What kind of thermodynamics?

Second Law –time dependence –time reversal –variational principles – S exists – S is increasing –local equilibrium Can be interpreted in a thermodynamic theory Irreversibility (?)

Thermodynamic theory Dynamic law: 1 Statics (equilibrium properties) 2 Dynamics

closed system S is a Ljapunov function of the equilibrium of the dynamic law Irreversibilitytrend to equilibrium

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

Stability structureDynamic structure Example 1 for all solutions of the dynamic law relaxational dynamics

Example 2 (Ginzburg-Landau) Liu procedure (Farkas’s lemma) state space constitutive functions

Conclusions –Second Law is a stability criteria (Irreversibility is a kind of stability) –Second Law is a tool to construct dynamic laws –Predictive Economics (?)