Dynamical Approach to Temperature
We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surf...
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E-Artikel |
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| Erschienen: |
1997 |
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Online-Ressource 3 |
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APS Digital Backfile Archive 1893-2003 |
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Enthalten in: Physical review letters - College Park, Md. : APS, 1958, 78(1997), 5, Seite 772-774 |
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volume:78 ; year:1997 ; number:5 ; pages:772-774 ; extent:3 |
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| 520 | |a We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. | ||
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(DE-627)NLEJ25075908X (DE-601)aps:feffb3c531157a2e008e4f2d74a52aa83fbfddd7 DE-627 ger DE-627 rakwb Dynamical Approach to Temperature 1997 Online-Ressource 3 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review letters College Park, Md. : APS, 1958 78(1997), 5, Seite 772-774 Online-Ressource (DE-627)NLEJ248237888 (DE-600)1472655-5 1079-7114 nnns volume:78 year:1997 number:5 pages:772-774 extent:3 https://www.tib.eu/de/suchen/id/aps%3Afeffb3c531157a2e008e4f2d74a52aa83fbfddd7 Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 78 1997 5 772-774 3 |
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(DE-627)NLEJ25075908X (DE-601)aps:feffb3c531157a2e008e4f2d74a52aa83fbfddd7 DE-627 ger DE-627 rakwb Dynamical Approach to Temperature 1997 Online-Ressource 3 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review letters College Park, Md. : APS, 1958 78(1997), 5, Seite 772-774 Online-Ressource (DE-627)NLEJ248237888 (DE-600)1472655-5 1079-7114 nnns volume:78 year:1997 number:5 pages:772-774 extent:3 https://www.tib.eu/de/suchen/id/aps%3Afeffb3c531157a2e008e4f2d74a52aa83fbfddd7 Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 78 1997 5 772-774 3 |
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(DE-627)NLEJ25075908X (DE-601)aps:feffb3c531157a2e008e4f2d74a52aa83fbfddd7 DE-627 ger DE-627 rakwb Dynamical Approach to Temperature 1997 Online-Ressource 3 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review letters College Park, Md. : APS, 1958 78(1997), 5, Seite 772-774 Online-Ressource (DE-627)NLEJ248237888 (DE-600)1472655-5 1079-7114 nnns volume:78 year:1997 number:5 pages:772-774 extent:3 https://www.tib.eu/de/suchen/id/aps%3Afeffb3c531157a2e008e4f2d74a52aa83fbfddd7 Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 78 1997 5 772-774 3 |
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(DE-627)NLEJ25075908X (DE-601)aps:feffb3c531157a2e008e4f2d74a52aa83fbfddd7 DE-627 ger DE-627 rakwb Dynamical Approach to Temperature 1997 Online-Ressource 3 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review letters College Park, Md. : APS, 1958 78(1997), 5, Seite 772-774 Online-Ressource (DE-627)NLEJ248237888 (DE-600)1472655-5 1079-7114 nnns volume:78 year:1997 number:5 pages:772-774 extent:3 https://www.tib.eu/de/suchen/id/aps%3Afeffb3c531157a2e008e4f2d74a52aa83fbfddd7 Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 78 1997 5 772-774 3 |
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(DE-627)NLEJ25075908X (DE-601)aps:feffb3c531157a2e008e4f2d74a52aa83fbfddd7 DE-627 ger DE-627 rakwb Dynamical Approach to Temperature 1997 Online-Ressource 3 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. APS Digital Backfile Archive 1893-2003 Rugh, Hans Henrik oth Enthalten in Physical review letters College Park, Md. : APS, 1958 78(1997), 5, Seite 772-774 Online-Ressource (DE-627)NLEJ248237888 (DE-600)1472655-5 1079-7114 nnns volume:78 year:1997 number:5 pages:772-774 extent:3 https://www.tib.eu/de/suchen/id/aps%3Afeffb3c531157a2e008e4f2d74a52aa83fbfddd7 Verlag Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-APS GBV_NL_ARTICLE AR 78 1997 5 772-774 3 |
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We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. |
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We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. |
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We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ▽̇(▽H/‖▽H‖2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems. |
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