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Geometric Approach to Response Theory in Non-Hamiltonian Systems

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Abstract

The theory of differential forms and time-dependent vector fields on manifolds is applied to formulate response theory for non-Hamiltonian systems. This approach is manifestly coordinate-free, and provides a transparent derivation of the response of a thermostatted system to a time-dependent perturbation.

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  1. Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, NY, 14853, USA

    Gregory S. Ezra

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Ezra, G.S. Geometric Approach to Response Theory in Non-Hamiltonian Systems. Journal of Mathematical Chemistry 32, 339–360 (2002). https://doi.org/10.1023/A:1022901505641

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