The meaning of the Second Law: Nonlocal effects in continuum physics Peter Vn BUTE, Department of Ch

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The meaning of the Second LawNonlocal 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

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• Concepts and theories
• What kind of thermodynamics?

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Irreversibility

• time dependence
• time reversal
• variational principles
• S exists
• S is increasing
• local equilibrium
• Can be interpreted in a thermodynamic theory

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Second Law
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Thermodynamic theory
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1 2 closed system
S is a Ljapunov function of the equilibrium of
the dynamic law
Irreversibility
trend to equilibrium
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Stability structure
Dynamic structure
Example 1
for all solutions of the dynamic law
relaxational dynamics
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Example 2 (Ginzburg-Landau)
state space
constitutive functions
Liu procedure (Farkass lemma)
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Conclusions

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