FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103156711> ?p ?o ?g. }

• W3103156711 endingPage "872" @default.
• W3103156711 startingPage "863" @default.
• W3103156711 abstract "A geometric foundation thermo-statistics is presented with the only axiomatic assumption of Boltzmann's principle S(E,N,V)=kln W. This relates the entropy to the geometric area e^{S(E,N,V)/k} of the manifold of constant energy in the finite-N-body phase space. From the principle, all thermodynamics and especially all phenomena of phase transitions and critical phenomena can unambiguously be identified for even small systems. The topology of the curvature matrix C(E,N) of S(E,N) determines regions of pure phases, regions of phase separation, and (multi-)critical points and lines. Within Boltzmann's principle, Statistical Mechanics becomes a geometric theory addressing the whole ensemble or the manifold of all points in phase space which are consistent with the few macroscopic conserved control parameters. This interpretation leads to a straight derivation of irreversibility and the Second Law of Thermodynamics out of the time-reversible, microscopic, mechanical dynamics. This is all possible without invoking the thermodynamic limit, extensivity, or concavity of S(E,N,V). The main obstacle against the Second Law, the conservation of the phase-space volume due to Liouville is overcome by realizing that a macroscopic theory like Thermodynamics cannot distinguish a fractal distribution in phase space from its closure." @default.
• W3103156711 created "2020-11-23" @default.
• W3103156711 creator A5021126241 @default.
• W3103156711 date "2002-02-19" @default.
• W3103156711 modified "2023-09-24" @default.
• W3103156711 title "Geometric foundation of thermo-statistics, phase transitions, second law of thermodynamics, but without thermodynamic limit" @default.
• W3103156711 cites W1499723901 @default.
• W3103156711 cites W1508174237 @default.
• W3103156711 cites W1632156335 @default.
• W3103156711 cites W1865888036 @default.
• W3103156711 cites W1967304912 @default.
• W3103156711 cites W1977075255 @default.
• W3103156711 cites W1983874169 @default.
• W3103156711 cites W1984323082 @default.
• W3103156711 cites W2004022711 @default.
• W3103156711 cites W2005886497 @default.
• W3103156711 cites W2008223086 @default.
• W3103156711 cites W2015873853 @default.
• W3103156711 cites W2021198715 @default.
• W3103156711 cites W2026041263 @default.
• W3103156711 cites W2030124251 @default.
• W3103156711 cites W2030765885 @default.
• W3103156711 cites W2032121576 @default.
• W3103156711 cites W2050477621 @default.
• W3103156711 cites W2053246816 @default.
• W3103156711 cites W2069908635 @default.
• W3103156711 cites W2085130684 @default.
• W3103156711 cites W2085216984 @default.
• W3103156711 cites W2088913430 @default.
• W3103156711 cites W2094082162 @default.
• W3103156711 cites W2095165504 @default.
• W3103156711 cites W2120182139 @default.
• W3103156711 cites W2154803134 @default.
• W3103156711 cites W2888605904 @default.
• W3103156711 cites W3038698521 @default.
• W3103156711 cites W3098211092 @default.
• W3103156711 cites W3099884617 @default.
• W3103156711 cites W3100436695 @default.
• W3103156711 cites W3105700818 @default.
• W3103156711 cites W2227075066 @default.
• W3103156711 doi "https://doi.org/10.1039/b108775d" @default.
• W3103156711 hasPublicationYear "2002" @default.
• W3103156711 type Work @default.
• W3103156711 sameAs 3103156711 @default.
• W3103156711 citedByCount "22" @default.
• W3103156711 countsByYear W31031567112012 @default.
• W3103156711 countsByYear W31031567112017 @default.
• W3103156711 countsByYear W31031567112018 @default.
• W3103156711 countsByYear W31031567112019 @default.
• W3103156711 countsByYear W31031567112020 @default.
• W3103156711 countsByYear W31031567112023 @default.
• W3103156711 crossrefType "journal-article" @default.
• W3103156711 hasAuthorship W3103156711A5021126241 @default.
• W3103156711 hasBestOaLocation W31031567112 @default.
• W3103156711 hasConcept C106301342 @default.
• W3103156711 hasConcept C111663737 @default.
• W3103156711 hasConcept C119820323 @default.
• W3103156711 hasConcept C121332964 @default.
• W3103156711 hasConcept C121864883 @default.
• W3103156711 hasConcept C151342819 @default.
• W3103156711 hasConcept C18815010 @default.
• W3103156711 hasConcept C35304006 @default.
• W3103156711 hasConcept C54021167 @default.
• W3103156711 hasConcept C74859849 @default.
• W3103156711 hasConcept C97355855 @default.
• W3103156711 hasConcept C99874945 @default.
• W3103156711 hasConceptScore W3103156711C106301342 @default.
• W3103156711 hasConceptScore W3103156711C111663737 @default.
• W3103156711 hasConceptScore W3103156711C119820323 @default.
• W3103156711 hasConceptScore W3103156711C121332964 @default.
• W3103156711 hasConceptScore W3103156711C121864883 @default.
• W3103156711 hasConceptScore W3103156711C151342819 @default.
• W3103156711 hasConceptScore W3103156711C18815010 @default.
• W3103156711 hasConceptScore W3103156711C35304006 @default.
• W3103156711 hasConceptScore W3103156711C54021167 @default.
• W3103156711 hasConceptScore W3103156711C74859849 @default.
• W3103156711 hasConceptScore W3103156711C97355855 @default.
• W3103156711 hasConceptScore W3103156711C99874945 @default.
• W3103156711 hasIssue "6" @default.
• W3103156711 hasLocation W31031567111 @default.
• W3103156711 hasLocation W31031567112 @default.
• W3103156711 hasLocation W31031567113 @default.
• W3103156711 hasOpenAccess W3103156711 @default.
• W3103156711 hasPrimaryLocation W31031567111 @default.
• W3103156711 hasRelatedWork W1541205310 @default.
• W3103156711 hasRelatedWork W1560294171 @default.
• W3103156711 hasRelatedWork W2024914466 @default.
• W3103156711 hasRelatedWork W2062303649 @default.
• W3103156711 hasRelatedWork W3103125640 @default.
• W3103156711 hasRelatedWork W3158341999 @default.
• W3103156711 hasRelatedWork W3169001369 @default.
• W3103156711 hasRelatedWork W4206089461 @default.
• W3103156711 hasRelatedWork W4285385927 @default.
• W3103156711 hasRelatedWork W5753135 @default.
• W3103156711 hasVolume "4" @default.
• W3103156711 isParatext "false" @default.
• W3103156711 isRetracted "false" @default.
• W3103156711 magId "3103156711" @default.

• next