Thermal energy transport in harmonic systems
One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not p...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1984 |
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| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
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| Übergeordnetes Werk: |
in: Journal of Physics and Chemistry of Solids - Amsterdam : Elsevier, 45(1984), 2, Seite 133-140 |
| Übergeordnetes Werk: |
volume:45 ; year:1984 ; number:2 ; pages:133-140 |
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| 520 | |a One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. | ||
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(DE-627)NLEJ178662917 (DE-599)GBVNLZ178662917 DE-627 ger DE-627 rakwb eng Thermal energy transport in harmonic systems 1984 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Linn, S.L. oth Robertson, H.S. oth in Journal of Physics and Chemistry of Solids Amsterdam : Elsevier 45(1984), 2, Seite 133-140 (DE-627)NLEJ177273895 (DE-600)1491914-X 0022-3697 nnns volume:45 year:1984 number:2 pages:133-140 http://linkinghub.elsevier.com/retrieve/pii/0022-3697(84)90111-2 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 45 1984 2 133-140 |
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(DE-627)NLEJ178662917 (DE-599)GBVNLZ178662917 DE-627 ger DE-627 rakwb eng Thermal energy transport in harmonic systems 1984 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Linn, S.L. oth Robertson, H.S. oth in Journal of Physics and Chemistry of Solids Amsterdam : Elsevier 45(1984), 2, Seite 133-140 (DE-627)NLEJ177273895 (DE-600)1491914-X 0022-3697 nnns volume:45 year:1984 number:2 pages:133-140 http://linkinghub.elsevier.com/retrieve/pii/0022-3697(84)90111-2 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 45 1984 2 133-140 |
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(DE-627)NLEJ178662917 (DE-599)GBVNLZ178662917 DE-627 ger DE-627 rakwb eng Thermal energy transport in harmonic systems 1984 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Linn, S.L. oth Robertson, H.S. oth in Journal of Physics and Chemistry of Solids Amsterdam : Elsevier 45(1984), 2, Seite 133-140 (DE-627)NLEJ177273895 (DE-600)1491914-X 0022-3697 nnns volume:45 year:1984 number:2 pages:133-140 http://linkinghub.elsevier.com/retrieve/pii/0022-3697(84)90111-2 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 45 1984 2 133-140 |
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(DE-627)NLEJ178662917 (DE-599)GBVNLZ178662917 DE-627 ger DE-627 rakwb eng Thermal energy transport in harmonic systems 1984 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Linn, S.L. oth Robertson, H.S. oth in Journal of Physics and Chemistry of Solids Amsterdam : Elsevier 45(1984), 2, Seite 133-140 (DE-627)NLEJ177273895 (DE-600)1491914-X 0022-3697 nnns volume:45 year:1984 number:2 pages:133-140 http://linkinghub.elsevier.com/retrieve/pii/0022-3697(84)90111-2 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 45 1984 2 133-140 |
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(DE-627)NLEJ178662917 (DE-599)GBVNLZ178662917 DE-627 ger DE-627 rakwb eng Thermal energy transport in harmonic systems 1984 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Linn, S.L. oth Robertson, H.S. oth in Journal of Physics and Chemistry of Solids Amsterdam : Elsevier 45(1984), 2, Seite 133-140 (DE-627)NLEJ177273895 (DE-600)1491914-X 0022-3697 nnns volume:45 year:1984 number:2 pages:133-140 http://linkinghub.elsevier.com/retrieve/pii/0022-3697(84)90111-2 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 45 1984 2 133-140 |
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One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. |
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One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. |
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One and two-dimensional oscillator systems are constructed so that individual oscillators are bound to their home positions and coupled to nearest neighbors by linear forces; both systems are treated for the case of weak coupling. The two-dimensional system has a tensor binding force that does not permit it to be decoupled into two noninteracting systems.Segments and strips are treated as thermodynamic systems in contact with a heat bath and Gaussian initial probability densities are used to compute correlations. Expressions for entropy and ''temperature'' are computed by relating initial system and bath variances to equilibrium temperature.Asymptotic relations for ''temperature'' are found that show the degree of coupling between dimensions affects the rate of approach to equilibrium, but only through the coefficient of time and not its power. Both systems approach equilibrium as t^-^1 rather than t^-^1^2 as predicted by continuum theory. |
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