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Irreversibility concepts in thermodynamics Stability and the Second Law

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 and theories

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Irreversibility concepts in thermodynamics Stability and the Second Law

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  1. The meaning of the Second Law:Nonlocal effects in continuum physicsPeter VánBUTE, Department of Chemical Physics • Irreversibility concepts in thermodynamics • Stability and the Second Law • How to construct constitutive functions? • Example: • Ginzburg-Landau equation

  2. Concepts and theories • What kind of thermodynamics?

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

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

  5. 1 + 2 + closed system S is a Ljapunov functionof the equilibrium of the dynamic law Irreversibility trend to equilibrium

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

  7. Stability structure Dynamicstructure Example 1 for all solutions of the dynamic law relaxational dynamics

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

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

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