The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function

In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the ``excess entropy'' around nonequilibrium steady states, (δ 2S)ss, is a...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the National Academy of Sciences - PNAS 1980-07, Vol.77 (7), p.3763-3766
1. Verfasser:	Fox, Ronald Forrest
Format:	Artikel
Sprache:	eng
Schlagworte:	Counterexamples Covariance Entropy Liapunov functions Physics Steady state theory Steady states Thermodynamic equilibrium Thermodynamics Trajectories
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	3766
container_issue	7
container_start_page	3763
container_title	Proceedings of the National Academy of Sciences - PNAS
container_volume	77
creator	Fox, Ronald Forrest
description	In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the ``excess entropy'' around nonequilibrium steady states, (δ 2S)ss, is a Liapunov function. A simple, explicit counterexample which invalidates this claim is presented. The existence of an alternative theory possessing a proper Liapunov function for steady states is reviewed.
format	Article
fullrecord	<record><control><sourceid>jstor</sourceid><recordid>TN_cdi_jstor_primary_9809</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>9809</jstor_id><sourcerecordid>9809</sourcerecordid><originalsourceid>FETCH-jstor_primary_98093</originalsourceid><addsrcrecordid>eNp9yc0OwUAUQOGJkKifB7C7OySa3FbRWUvFQmxqr6NGjDBTc2dE38tzeCYW1lbfSU6DBRHyKJwnHJssQIwXYZrESZt1iC6IyGcpBqzYnSUURfYsJRFk2llT1cMhCGu8PsLWaHn36qoO1t8gd1Ic6y_CSZrA6P2COB_TNxWBNg4EbJSovDYPWHldOmV0j7VO4kqy_7PLBqtst1yHF3LG7iurbsLWe54in_57Hz2OP0I</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function</title><source>Jstor Complete Legacy</source><source>PubMed Central</source><source>Alma/SFX Local Collection</source><source>Free Full-Text Journals in Chemistry</source><creator>Fox, Ronald Forrest</creator><creatorcontrib>Fox, Ronald Forrest</creatorcontrib><description>In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the ``excess entropy'' around nonequilibrium steady states, (δ 2S)ss, is a Liapunov function. A simple, explicit counterexample which invalidates this claim is presented. The existence of an alternative theory possessing a proper Liapunov function for steady states is reviewed.</description><identifier>ISSN: 0027-8424</identifier><identifier>EISSN: 1091-6490</identifier><language>eng</language><publisher>National Academy of Sciences of the United States of America</publisher><subject>Counterexamples ; Covariance ; Entropy ; Liapunov functions ; Physics ; Steady state theory ; Steady states ; Thermodynamic equilibrium ; Thermodynamics ; Trajectories</subject><ispartof>Proceedings of the National Academy of Sciences - PNAS, 1980-07, Vol.77 (7), p.3763-3766</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/9809$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/9809$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,776,780,799,57995,58228</link.rule.ids></links><search><creatorcontrib>Fox, Ronald Forrest</creatorcontrib><title>The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function</title><title>Proceedings of the National Academy of Sciences - PNAS</title><description>In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the ``excess entropy'' around nonequilibrium steady states, (δ 2S)ss, is a Liapunov function. A simple, explicit counterexample which invalidates this claim is presented. The existence of an alternative theory possessing a proper Liapunov function for steady states is reviewed.</description><subject>Counterexamples</subject><subject>Covariance</subject><subject>Entropy</subject><subject>Liapunov functions</subject><subject>Physics</subject><subject>Steady state theory</subject><subject>Steady states</subject><subject>Thermodynamic equilibrium</subject><subject>Thermodynamics</subject><subject>Trajectories</subject><issn>0027-8424</issn><issn>1091-6490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1980</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNp9yc0OwUAUQOGJkKifB7C7OySa3FbRWUvFQmxqr6NGjDBTc2dE38tzeCYW1lbfSU6DBRHyKJwnHJssQIwXYZrESZt1iC6IyGcpBqzYnSUURfYsJRFk2llT1cMhCGu8PsLWaHn36qoO1t8gd1Ic6y_CSZrA6P2COB_TNxWBNg4EbJSovDYPWHldOmV0j7VO4kqy_7PLBqtst1yHF3LG7iurbsLWe54in_57Hz2OP0I</recordid><startdate>19800701</startdate><enddate>19800701</enddate><creator>Fox, Ronald Forrest</creator><general>National Academy of Sciences of the United States of America</general><scope/></search><sort><creationdate>19800701</creationdate><title>The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function</title><author>Fox, Ronald Forrest</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-jstor_primary_98093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1980</creationdate><topic>Counterexamples</topic><topic>Covariance</topic><topic>Entropy</topic><topic>Liapunov functions</topic><topic>Physics</topic><topic>Steady state theory</topic><topic>Steady states</topic><topic>Thermodynamic equilibrium</topic><topic>Thermodynamics</topic><topic>Trajectories</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fox, Ronald Forrest</creatorcontrib><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fox, Ronald Forrest</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function</atitle><jtitle>Proceedings of the National Academy of Sciences - PNAS</jtitle><date>1980-07-01</date><risdate>1980</risdate><volume>77</volume><issue>7</issue><spage>3763</spage><epage>3766</epage><pages>3763-3766</pages><issn>0027-8424</issn><eissn>1091-6490</eissn><abstract>In a response to my recent paper [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], Nicolis and Prigogine [Nicolis, G. & Prigogine, I. (1979) Proc. Natl. Acad. Sci. USA 76, 6060-6061] reasserted that the ``excess entropy'' around nonequilibrium steady states, (δ 2S)ss, is a Liapunov function. A simple, explicit counterexample which invalidates this claim is presented. The existence of an alternative theory possessing a proper Liapunov function for steady states is reviewed.</abstract><pub>National Academy of Sciences of the United States of America</pub></addata></record>
fulltext	fulltext
identifier	ISSN: 0027-8424
ispartof	Proceedings of the National Academy of Sciences - PNAS, 1980-07, Vol.77 (7), p.3763-3766
issn	0027-8424 1091-6490
language	eng
recordid	cdi_jstor_primary_9809
source	Jstor Complete Legacy; PubMed Central; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry
subjects	Counterexamples Covariance Entropy Liapunov functions Physics Steady state theory Steady states Thermodynamic equilibrium Thermodynamics Trajectories
title	The ``Excess Entropy'' around Nonequilibrum Steady States, (δ 2S)ss, is not a Liapunov Function
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-25T09%3A57%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20%60%60Excess%20Entropy''%20around%20Nonequilibrum%20Steady%20States,%20(%CE%B4%202S)ss,%20is%20not%20a%20Liapunov%20Function&rft.jtitle=Proceedings%20of%20the%20National%20Academy%20of%20Sciences%20-%20PNAS&rft.au=Fox,%20Ronald%20Forrest&rft.date=1980-07-01&rft.volume=77&rft.issue=7&rft.spage=3763&rft.epage=3766&rft.pages=3763-3766&rft.issn=0027-8424&rft.eissn=1091-6490&rft_id=info:doi/&rft_dat=%3Cjstor%3E9809%3C/jstor%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_jstor_id=9809&rfr_iscdi=true