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Role of the Bath Spectrum in the Specific Heat Anomalies of a Damped Oscillator |
BAI Zhan-Wu** |
Department of Mathematics and Physics, North China Electric Power University, Baoding 071003 |
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Cite this article: |
BAI Zhan-Wu 2012 Chin. Phys. Lett. 29 060503 |
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Abstract The specific heat anomalies are analytically studied in the system in which a harmonic oscillator couples to a heat bath with harmonic noise. The physical explanation leads to a general spectral dependence of the specific heat anomalies. The condition of a dip appearance and the behaviors of the dip can be given according to the shape of the bath's power spectrum by employing the minimal heat bath model.
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Keywords:
05.40.-a
05.30.Ch
05.70.Ce
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Received: 21 January 2012
Published: 31 May 2012
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PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.30.Ch
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(Quantum ensemble theory)
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05.70.Ce
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(Thermodynamic functions and equations of state)
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[1] H?nggi P and Ingold G -L 2006 Acta Phys. Pol. B 37 1537[2] Bandyopadhyay M 2008 arXiv:0804.0290[3] H?nggi P, Ingold G -L and Talkner P 2008 New. J. Phys. 10 115008[4] Wang C Y and Bao J D 2008 Chin. Phys. Lett. 25 429[5] Kumar J, Sreeram P A and Dattagupta S 2009 Phys. Rev. E 79 021130[6] Bandyopadhyay M and Dattaguputa S 2009 arXiv: 0903.2952[7] Ingold G -L, H?nggi P and Talkner P 2009 Phys. Rev. E 79 061105[8] Ford G W and O'Connell R F 2007 Phys. Rev. B 75 134301[9] Wie?niak M, Vedral V and Brukner ? 2008 Phys. Rev. B 78 064108[10] Feynman R P 1972 Statistical Mechanics (Redwood City: Addsion-Wesley) p 82[11] Caldeira A O and Leggett A J 1983 Ann. Phys. (N.Y.) 149 374[12] Grabert H, Weiss U and Talkner P 1984 Z. Phys. B 55 87[13] Leggett A J, Chakravarty S, Dorsey A T, Fisher P A, Garg A and Zwerger W 1987 Rev. Mod. Phys. 59 1[14] Grabert H, Schramm P and Ingold G -L 1988 Phys. Rep. 168 115[15] Ford G W, Lewis J T and O'Connell R F 1988 Ann. Phys. (N.Y.) 185 270[16] Hanke A and Zwerger W 1995 Phys. Rev. E 52 6875[17] Dittrich T, H?nggi P, Ingold G -L, Kramer B, Sch?n G and Zwerger W 1998 Quantum Transport Dissipation (Weinheim: Wiley-VCH) chap 4[18] Ingold G -L 2002 Lect. Notes Phys. 611 1[19] Dykman M I, McClintock P V E, Stein N D and Stocks N G 1991 Phys. Rev. Lett. 67 933[20] Bartussek R, H?nggi P H, Lindner B and Schimansky-Geier L 1997 Physica D 109 17[21] Landa P S 1998 Phys. Rev. E 58 1325[22] Mallick K 2007 Physica A 384 64[23] Bao J D, Song Y L, Ji Q and Zhuo Y Z 2005 Phys. Rev. E 72 011113 |
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