Entropy-Time Relationship in an Isochoric Adiabatic System

The equation that connects entropy and time has been found out by static thermodynamics, dS/S = dVI/V0 = kd, VI internal volume. Constant k is a characteristic of each isochoric adiabatic process and likewise equals dT/Td. The constancy of k does not hold for a nonisochoric adiabatic system. Time...

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Detalles Bibliográficos
Autor: Ros, Francisco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/184108
Acceso en línea:http://hdl.handle.net/10261/184108
Access Level:acceso abierto
Palabra clave:Irreversibility thermodynamics
Entropy-time equation
Entropy maximum
Boltzmann H
Thermophysics
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spelling Entropy-Time Relationship in an Isochoric Adiabatic SystemRos, FranciscoIrreversibility thermodynamicsEntropy-time equationEntropy maximumBoltzmann HThermophysicsThe equation that connects entropy and time has been found out by static thermodynamics, dS/S = dVI/V0 = kd, VI internal volume. Constant k is a characteristic of each isochoric adiabatic process and likewise equals dT/Td. The constancy of k does not hold for a nonisochoric adiabatic system. Time is introduced in the frame of thermodynamic variables as a genuine magnitude. The theoretically deduced entropy-time differential equation is empirically backed up by Newton cooling law. It was found out concerning thermodynamic equilibrium that irreversible heat capacity (CIR = TS/T) in approaching the equilibrium is alike to statistical Boltzmann H. The connection of H with temperature is presented. The integrated entropy-time function was modified by rotation of the coordinate axes to fulfill the necessary thermodynamic condition of minimal irreversible heat (dQIR  TdS), which is not embodied in the primitive S- differential equation. The transformation gives rise to an entropy-time maximum point. The transformation conveys a contraction of both entropy and time and is in agreement with minimal actionThis research was funded in part by Spanish Ministerio de Economía y Competividad grant number CTQ2010-16402.Peer reviewedpreprintMinisterio de Economía y Competitividad (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]20192019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/184108reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1841082026-05-22T06:33:51Z
dc.title.none.fl_str_mv Entropy-Time Relationship in an Isochoric Adiabatic System
title Entropy-Time Relationship in an Isochoric Adiabatic System
spellingShingle Entropy-Time Relationship in an Isochoric Adiabatic System
Ros, Francisco
Irreversibility thermodynamics
Entropy-time equation
Entropy maximum
Boltzmann H
Thermophysics
title_short Entropy-Time Relationship in an Isochoric Adiabatic System
title_full Entropy-Time Relationship in an Isochoric Adiabatic System
title_fullStr Entropy-Time Relationship in an Isochoric Adiabatic System
title_full_unstemmed Entropy-Time Relationship in an Isochoric Adiabatic System
title_sort Entropy-Time Relationship in an Isochoric Adiabatic System
dc.creator.none.fl_str_mv Ros, Francisco
author Ros, Francisco
author_facet Ros, Francisco
author_role author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Irreversibility thermodynamics
Entropy-time equation
Entropy maximum
Boltzmann H
Thermophysics
topic Irreversibility thermodynamics
Entropy-time equation
Entropy maximum
Boltzmann H
Thermophysics
description The equation that connects entropy and time has been found out by static thermodynamics, dS/S = dVI/V0 = kd, VI internal volume. Constant k is a characteristic of each isochoric adiabatic process and likewise equals dT/Td. The constancy of k does not hold for a nonisochoric adiabatic system. Time is introduced in the frame of thermodynamic variables as a genuine magnitude. The theoretically deduced entropy-time differential equation is empirically backed up by Newton cooling law. It was found out concerning thermodynamic equilibrium that irreversible heat capacity (CIR = TS/T) in approaching the equilibrium is alike to statistical Boltzmann H. The connection of H with temperature is presented. The integrated entropy-time function was modified by rotation of the coordinate axes to fulfill the necessary thermodynamic condition of minimal irreversible heat (dQIR  TdS), which is not embodied in the primitive S- differential equation. The transformation gives rise to an entropy-time maximum point. The transformation conveys a contraction of both entropy and time and is in agreement with minimal action
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/184108
url http://hdl.handle.net/10261/184108
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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