On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics

A nonequilibrium statistical operator (NSO) is built for classical sistems using a field theory in classical phase space, which is but a classical version of the thermofield dynamics formalism. The approach developed here starts with a second-quantized version of this phase-space field theory. Then elements of symmetry are analysed and invariants of the theory are introduced. The local conservation laws are derived and used to make explicit NSO. Such a method is applied to derive the Fokker-Planck-Kramers equation.

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Main Authors: Silva,Lourival M. da, Santana,Ademir E., Vianna,J. David M.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 1997
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400025
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spelling oai:scielo:S0103-973319970004000251999-06-14On the Nonequilibrium Statistical Operator and Classical Thermofield DynamicsSilva,Lourival M. daSantana,Ademir E.Vianna,J. David M.A nonequilibrium statistical operator (NSO) is built for classical sistems using a field theory in classical phase space, which is but a classical version of the thermofield dynamics formalism. The approach developed here starts with a second-quantized version of this phase-space field theory. Then elements of symmetry are analysed and invariants of the theory are introduced. The local conservation laws are derived and used to make explicit NSO. Such a method is applied to derive the Fokker-Planck-Kramers equation.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.27 n.4 19971997-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400025en10.1590/S0103-97331997000400025
institution SCIELO
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country Brasil
countrycode BR
component Revista
access En linea
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region America del Sur
libraryname SciELO
language English
format Digital
author Silva,Lourival M. da
Santana,Ademir E.
Vianna,J. David M.
spellingShingle Silva,Lourival M. da
Santana,Ademir E.
Vianna,J. David M.
On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
author_facet Silva,Lourival M. da
Santana,Ademir E.
Vianna,J. David M.
author_sort Silva,Lourival M. da
title On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
title_short On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
title_full On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
title_fullStr On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
title_full_unstemmed On the Nonequilibrium Statistical Operator and Classical Thermofield Dynamics
title_sort on the nonequilibrium statistical operator and classical thermofield dynamics
description A nonequilibrium statistical operator (NSO) is built for classical sistems using a field theory in classical phase space, which is but a classical version of the thermofield dynamics formalism. The approach developed here starts with a second-quantized version of this phase-space field theory. Then elements of symmetry are analysed and invariants of the theory are introduced. The local conservation laws are derived and used to make explicit NSO. Such a method is applied to derive the Fokker-Planck-Kramers equation.
publisher Sociedade Brasileira de Física
publishDate 1997
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400025
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