Markovian approximation of classical open systems

Michela Ottobre

doi:10.1063/1.4756290

Markovian approximation of classical open systems

Michela Ottobre

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Abstract

We discuss exponential convergence to equilibrium for dissipative Markovian systems generated by hypoelliptic non-selfadjoint operators and we present a method to determine the exact rate of convergence to equilibrium. The main example that we will consider is a class of Markovian approximations of the Generalized Langevin equation (GLE).

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics ICNAAM 2012
Subtitle of host publication	International Conference of Numerical Analysis and Applied Mathematics
Publisher	AIP Publishing
Pages	912-915
Number of pages	4
ISBN (Print)	9780735410916
DOIs	https://doi.org/10.1063/1.4756290
Publication status	Published - 26 Sept 2012

Publication series

Name	AIP Conference Proceedings
Publisher	AIP Publishimg
Number	1
Volume	1479
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

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This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in AIP Conference Proceedings 1479, 912 (2012) and may be found at https://doi.org/10.1063/1.4756290
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AB - We discuss exponential convergence to equilibrium for dissipative Markovian systems generated by hypoelliptic non-selfadjoint operators and we present a method to determine the exact rate of convergence to equilibrium. The main example that we will consider is a class of Markovian approximations of the Generalized Langevin equation (GLE).

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BT - Numerical Analysis and Applied Mathematics ICNAAM 2012

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Markovian approximation of classical open systems

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