Finite Horizon Model Reduction and the Appearance of Dissipation in Hamiltonian Systems
نویسنده
چکیده
An apparent paradox in classical statistical physics is the mechanism by which conservative. time-reversible microscopic dynamics, can pive rise to seemi,ngly dissipative behavior. In this paper we use system theoretic mols to show that dissipation can arise as an anifact of incomplete observations over a finite horizon. In addition, this approach allows us to obtain finile-time. low order, approximations of systems with moderate size. and to establish how the approach to the thermodynamic limit depends on the different physical parameters.
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