Microthermodynamic formalism
We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon t...
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E-Artikel |
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| Erschienen: |
2001 |
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Online-Ressource 4 |
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| Reproduktion: |
APS Digital Backfile Archive 1893-2003 |
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| Übergeordnetes Werk: |
Enthalten in: Physical review / E - College Park, Md. : APS, 1993, 64(2001), 5 |
| Übergeordnetes Werk: |
volume:64 ; year:2001 ; number:5 ; extent:4 |
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| 520 | |a We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. | ||
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(DE-627)NLEJ25037627X (DE-601)aps:b7c99f27cf487b3a195da59cb97611774a3311ca DE-627 ger DE-627 rakwb Microthermodynamic formalism 2001 Online-Ressource 4 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review / E College Park, Md. : APS, 1993 64(2001), 5 Online-Ressource (DE-627)NLEJ248237837 (DE-600)1472725-0 1550-2376 nnns volume:64 year:2001 number:5 extent:4 https://www.tib.eu/de/suchen/id/aps%3Ab7c99f27cf487b3a195da59cb97611774a3311ca Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 64 2001 5 4 |
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(DE-627)NLEJ25037627X (DE-601)aps:b7c99f27cf487b3a195da59cb97611774a3311ca DE-627 ger DE-627 rakwb Microthermodynamic formalism 2001 Online-Ressource 4 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review / E College Park, Md. : APS, 1993 64(2001), 5 Online-Ressource (DE-627)NLEJ248237837 (DE-600)1472725-0 1550-2376 nnns volume:64 year:2001 number:5 extent:4 https://www.tib.eu/de/suchen/id/aps%3Ab7c99f27cf487b3a195da59cb97611774a3311ca Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 64 2001 5 4 |
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(DE-627)NLEJ25037627X (DE-601)aps:b7c99f27cf487b3a195da59cb97611774a3311ca DE-627 ger DE-627 rakwb Microthermodynamic formalism 2001 Online-Ressource 4 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review / E College Park, Md. : APS, 1993 64(2001), 5 Online-Ressource (DE-627)NLEJ248237837 (DE-600)1472725-0 1550-2376 nnns volume:64 year:2001 number:5 extent:4 https://www.tib.eu/de/suchen/id/aps%3Ab7c99f27cf487b3a195da59cb97611774a3311ca Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 64 2001 5 4 |
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(DE-627)NLEJ25037627X (DE-601)aps:b7c99f27cf487b3a195da59cb97611774a3311ca DE-627 ger DE-627 rakwb Microthermodynamic formalism 2001 Online-Ressource 4 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review / E College Park, Md. : APS, 1993 64(2001), 5 Online-Ressource (DE-627)NLEJ248237837 (DE-600)1472725-0 1550-2376 nnns volume:64 year:2001 number:5 extent:4 https://www.tib.eu/de/suchen/id/aps%3Ab7c99f27cf487b3a195da59cb97611774a3311ca Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 64 2001 5 4 |
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(DE-627)NLEJ25037627X (DE-601)aps:b7c99f27cf487b3a195da59cb97611774a3311ca DE-627 ger DE-627 rakwb Microthermodynamic formalism 2001 Online-Ressource 4 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review / E College Park, Md. : APS, 1993 64(2001), 5 Online-Ressource (DE-627)NLEJ248237837 (DE-600)1472725-0 1550-2376 nnns volume:64 year:2001 number:5 extent:4 https://www.tib.eu/de/suchen/id/aps%3Ab7c99f27cf487b3a195da59cb97611774a3311ca Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 64 2001 5 4 |
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We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. |
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We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. |
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We consider the microcanonical ensemble of a classical Hamiltonian dynamical system, the Hamiltonian being parameter dependent and in the possible presence of other first integrals. We describe a thermodynamic formalism in which a first law of thermodynamics, or fundamental relation, is based upon the bulk-entropy, SΩ. Under an ergodic hypothesis, SΩ is shown to be an adiabatic invariant. Expressions for derivatives and thermodynamic relations are derived within the microcanonical ensemble itself. |
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