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Finite horizon model reduction and the appearance of dissipation in Hamiltonian systems

Barahona, M. and Doherty, A. C. and Sznaier, M. and Mabuchi, H. and Doyle, J. C. (2003) Finite horizon model reduction and the appearance of dissipation in Hamiltonian systems. In: IEEE Conference on Decision and Control, 41st, (CDC 2002), Las Vegas, NV, 10-13 December 2002. Vol.4. IEEE , Piscataway, NJ, pp. 4563-4568. ISBN 0-7803-7516-5 http://resolver.caltech.edu/CaltechAUTHORS:BARcdc02

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Abstract

An apparent paradox in classical statistical physics is the mechanism by which conservative, time-reversible microscopic dynamics, can give rise to seemingly dissipative behavior. In this paper we use system theoretic tools to show that dissipation can arise as an artifact of incomplete observations over a finite horizon. In addition, this approach allows us to obtain finite-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.


Item Type:Book Section
Additional Information:© Copyright 2002 IEEE. Reprinted with permission.
Subject Keywords:approximation theory, infinite horizon, quantum statistical mechanics, reduced order systems, spin Hamiltonians
Record Number:CaltechAUTHORS:BARcdc02
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BARcdc02
Alternative URL:http://dx.doi.org/10.1109/CDC.2002.1185095
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8684
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:05 Sep 2007
Last Modified:26 Dec 2012 09:41

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