Gibbsian Check of the Validity of Gibbsian Calculation through Dynamical Observables View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1994

AUTHORS

Dominique F. Escande , Holger Kantz , Roberto Livi , Stefano Ruffo

ABSTRACT

A key question in statistical physics is the agreement between time and ensemble averages. Moreover, in many applications (e.g. molecular dynamics1), one needs a fast relaxation in time with a limited number of degrees of freedom. The theory of dynamical systems tells us that this happens if chaos is strong, i.e. a generic orbit fills most of the available phase space in a short time. The conditions for this to happen are difficult to establish in high dimension. In this contribution we address this question in the context of Hamiltonian dynamics, choosing a specific coupled rotators model on a 1-D lattice2. We develop simple ensemble calculations of dynamical chaos indicators, which enable us to identify the energy region where the desired fast relaxation takes place. More... »

PAGES

131-138

Book

TITLE

Hamiltonian Mechanics

ISBN

978-1-4899-0966-4
978-1-4899-0964-0

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4899-0964-0_10

DOI

http://dx.doi.org/10.1007/978-1-4899-0964-0_10

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1008191150


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