Geometric approach to response theory in non-Hamiltonian systems (Q1397314)
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scientific article; zbMATH DE number 1953664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric approach to response theory in non-Hamiltonian systems |
scientific article; zbMATH DE number 1953664 |
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Geometric approach to response theory in non-Hamiltonian systems (English)
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27 July 2003
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The author first briefly reviews some elementary concepts from differential geometry concerning time-dependent vector fields and differential forms. Then he shows how a number of equations of interest in statistical mechanics may be formulated intrinsically. These applications include Liouville equation, equilibrium Nosé-Hoover dynamics, the computation of ensemble averages in Heisenberg and Schrödinger picture, and finally response theory.
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differential forms
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statistical mechanics
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0.9011309
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0.8771825
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0.8745252
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0.8723828
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0.8706502
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0.8692418
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