메뉴 건너뛰기




Volumn 153, Issue 6, 2013, Pages 1132-1142

Temperature Fluctuations for a System in Contact with a Heat Bath

Author keywords

Mesoscopic; Temperature fluctuation; Thermal equilibrium

Indexed keywords


EID: 84888300214     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-013-0867-9     Document Type: Article
Times cited : (9)

References (40)
  • 1
    • 0010546911 scopus 로고
    • Temperature fluctuation: an oxymoron
    • Kittel, C.: Temperature fluctuation: an oxymoron. Phys. Today 41(5), 43 (1988).
    • (1988) Phys. Today , vol.41 , Issue.5 , pp. 43
    • Kittel, C.1
  • 2
    • 5844304590 scopus 로고
    • Small systems: when does thermodynamics apply?
    • Feshbach, H.: Small systems: when does thermodynamics apply? Phys. Today 40(11), 9-11 (1987).
    • (1987) Phys. Today , vol.40 , Issue.11 , pp. 9-11
    • Feshbach, H.1
  • 3
    • 4244094959 scopus 로고
    • Temperature fluctuation: a well-defined and unavoidable notion
    • His statistical sampling argument has been reanalyzed recently by Falcioni et al. [4]
    • Mandelbrot, B. B.: Temperature fluctuation: a well-defined and unavoidable notion. Phys. Today 42(1), 71-73 (1989). His statistical sampling argument has been reanalyzed recently by Falcioni et al. [4].
    • (1989) Phys. Today , vol.42 , Issue.1 , pp. 71-73
    • Mandelbrot, B.B.1
  • 5
    • 84979109489 scopus 로고
    • Über die Gültigkeitsgrenze des Satzes vom thermodynamischen Gleichgewicht und über die Möglichkeit einer neuen Bestimmung der Elementarquanta
    • Einstein, A.: Über die Gültigkeitsgrenze des Satzes vom thermodynamischen Gleichgewicht und über die Möglichkeit einer neuen Bestimmung der Elementarquanta. Ann. Phys. (Leipz.) 22, 569-572 (1907).
    • (1907) Ann. Phys. (Leipz.) , vol.22 , pp. 569-572
    • Einstein, A.1
  • 7
    • 0003997946 scopus 로고
    • Dover, New York (1956). Heat capacity is an accepted notion antedating the first edition of M. Planck's classic on thermodynamics (1897), New York: Prentice Hall
    • Fermi, E.: Thermodynamics. Prentice Hall, New York (1937). Dover, New York (1956). Heat capacity is an accepted notion antedating the first edition of M. Planck's classic on thermodynamics (1897).
    • (1937) Thermodynamics
    • Fermi, E.1
  • 8
    • 50349105719 scopus 로고
    • Accidental deviations in the conduction of heat
    • Ornstein, L. S., Milatz, J. M. W.: Accidental deviations in the conduction of heat. Physica (Utrecht) 6, 1139-1145 (1939).
    • (1939) Physica (Utrecht) , vol.6 , pp. 1139-1145
    • Ornstein, L.S.1    Milatz, J.M.W.2
  • 9
    • 0042558185 scopus 로고
    • Natural limit of measuring radiation with a bolometer
    • Milatz, J. M. W., van der Velden, H. A.: Natural limit of measuring radiation with a bolometer. Physica (Utrecht) 10, 369-380 (1943).
    • (1943) Physica (Utrecht) , vol.10 , pp. 369-380
    • Milatz, J.M.W.1    van der Velden, H.A.2
  • 11
    • 0003376947 scopus 로고
    • Complementarity between energy and temperature
    • See in particular, §6, J. Boerde, E. Dal, and O. Ulfbeck (Eds.), Amsterdam: North-Holland
    • Lindhard, J.: "Complementarity" between energy and temperature. In: de Boer, J., Dal, E., Ulfbeck, O. (eds.) The Lesson of Quantum Theory, pp. 99-112. North-Holland, Amsterdam (1986). See in particular, §6.
    • (1986) The Lesson of Quantum Theory , pp. 99-112
    • Lindhard, J.1
  • 12
    • 0033457484 scopus 로고    scopus 로고
    • Thermodynamic uncertainty relations
    • Uffink, J., van Lith, J.: Thermodynamic uncertainty relations. Found. Phys. 29, 655-692 (1999).
    • (1999) Found. Phys. , vol.29 , pp. 655-692
    • Uffink, J.1    van Lith, J.2
  • 13
    • 0003553876 scopus 로고
    • The polythermal ensemble: a rigorous interpretation of temperature fluctuations in statistical mechanics
    • Phillies, G. D. J.: The polythermal ensemble: a rigorous interpretation of temperature fluctuations in statistical mechanics. Am. J. Phys. 52, 629-632 (1984).
    • (1984) Am. J. Phys. , vol.52 , pp. 629-632
    • Phillies, G.D.J.1
  • 14
    • 21144465245 scopus 로고
    • Temperature fluctuations in a heat bath
    • Prosper, H. B.: Temperature fluctuations in a heat bath. Am. J. Phys. 61, 54-58 (1993).
    • (1993) Am. J. Phys. , vol.61 , pp. 54-58
    • Prosper, H.B.1
  • 15
    • 0003527974 scopus 로고
    • 2nd edn., Sects. 7.2, 9.3 & 9.4, New York: Wiley
    • Huang, K.: Statistical Mechanics, 2nd edn. Wiley, New York (1987). Sects. 7. 2, 9. 3 & 9. 4.
    • (1987) Statistical Mechanics
    • Huang, K.1
  • 16
    • 0038179489 scopus 로고    scopus 로고
    • Quantum Nyquist temperature fluctuations
    • Balatsky, A. V., Zhu, J.-X.: Quantum Nyquist temperature fluctuations. Physica E 18, 341-342 (2003).
    • (2003) Physica E , vol.18 , pp. 341-342
    • Balatsky, A.V.1    Zhu, J.-X.2
  • 17
    • 35748971582 scopus 로고
    • States and representations in statistical mechanics
    • R. F. Streater (Ed.), London: Academic
    • Hugenholtz, N. M.: States and representations in statistical mechanics. In: Streater, R. F. (ed.) Mathematics of Contemporary Physics, pp. 145-182. Academic, London (1972).
    • (1972) Mathematics of Contemporary Physics , pp. 145-182
    • Hugenholtz, N.M.1
  • 18
    • 78751483504 scopus 로고    scopus 로고
    • Operational approach to fluctuations of thermodynamic variables in finite quantum systems
    • 011109
    • Jahnke, T., Lanéry, S., Mahler, G.: Operational approach to fluctuations of thermodynamic variables in finite quantum systems. Phys. Rev. E 83, 011109 (2011).
    • (2011) Phys. Rev. E , vol.83
    • Jahnke, T.1    Lanéry, S.2    Mahler, G.3
  • 19
    • 33646973740 scopus 로고    scopus 로고
    • Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble
    • M. Gell-Mann and C. Tsallis (Eds.), Oxford: Oxford University Press
    • Touchette, H.: Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble. In: Gell-Mann, M., Tsallis, C. (eds.) Nonextensive Entropy-Interdisciplinary Applications, pp. 159-176. Oxford University Press, Oxford (2004).
    • (2004) Nonextensive Entropy-Interdisciplinary Applications , pp. 159-176
    • Touchette, H.1
  • 20
    • 0040428919 scopus 로고
    • Statistical-mechanical formalism for spin glasses
    • Section II and Appendix. As exposed there in detail, similar arguments hold for quantum systems
    • van Enter, A. C. D., van Hemmen, J. L.: Statistical-mechanical formalism for spin glasses. Phys. Rev. A 29, 355-365 (1984). Section II and Appendix. As exposed there in detail, similar arguments hold for quantum systems.
    • (1984) Phys. Rev. A , vol.29 , pp. 355-365
    • van Enter, A.C.D.1    van Hemmen, J.L.2
  • 21
    • 0037577584 scopus 로고
    • Time evolution and ergodic properties of harmonic systems
    • Lanford, O. E. III, Lebowitz, J. L.: Time evolution and ergodic properties of harmonic systems. In: Springer Lecture Notes in Physics, vol. 38, pp. 144-177 (1975).
    • (1975) Springer Lecture Notes in Physics , vol.38 , pp. 144-177
    • Lanford III, O.E.1    Lebowitz, J.L.2
  • 22
    • 77951601120 scopus 로고
    • Dynamics and ergodicity of the infinite harmonic crystal
    • van Hemmen, J. L.: Dynamics and ergodicity of the infinite harmonic crystal. Phys. Rep. 65, 43-149 (1980).
    • (1980) Phys. Rep. , vol.65 , pp. 43-149
    • van Hemmen, J.L.1
  • 23
    • 0007280326 scopus 로고
    • Return to equilibrium
    • Robinson, D. W.: Return to equilibrium. Commun. Math. Phys. 31, 171-189 (1973).
    • (1973) Commun. Math. Phys. , vol.31 , pp. 171-189
    • Robinson, D.W.1
  • 24
    • 16344396609 scopus 로고
    • Ein klassisches Modell des Ferromagnetikums und seine nachträgliche Quantisierung im Gebiete tiefer Temperaturen
    • Heller, G., Kramers, H. A.: Ein klassisches Modell des Ferromagnetikums und seine nachträgliche Quantisierung im Gebiete tiefer Temperaturen. Proc. Roy. Acad. Sci. Amsterdam 37, 378-385 (1934).
    • (1934) Proc. Roy. Acad. Sci. Amsterdam , vol.37 , pp. 378-385
    • Heller, G.1    Kramers, H.A.2
  • 25
    • 85204055333 scopus 로고
    • Zur Theorie des Ferromagnetismus
    • La Haye-AmsterdamJuinRapports et Communications. Also in: Commun. Kamerlingh Onnes Lab. Univ. Leiden 22(83), 1-22 (1936)
    • Kramers, H. A.: Zur Theorie des Ferromagnetismus. In: 7e Congrès International du Froid, La Haye-Amsterdam, Juin (1936). Rapports et Communications. Also in: Commun. Kamerlingh Onnes Lab. Univ. Leiden 22(83), 1-22 (1936).
    • (1936) 7e Congrès International Du Froid
    • Kramers, H.A.1
  • 26
    • 0009088320 scopus 로고
    • Kramers's contributions to statistical mechanics
    • One may consult Dresden for, amongst others, a thoughtful evaluation of Kramers' paper [25]
    • Dresden, M.: Kramers's contributions to statistical mechanics. Phys. Today 41(9), 26-33 (1988). One may consult Dresden for, amongst others, a thoughtful evaluation of Kramers' paper [25].
    • (1988) Phys. Today , vol.41 , Issue.9 , pp. 26-33
    • Dresden, M.1
  • 29
    • 51649160658 scopus 로고
    • Intertwining relations between the dynamics of the infinite classical and quantum Heisenberg models: a new application of Trotter approximations and of the coherent-state formalism
    • Vuillermot, P. A.: Intertwining relations between the dynamics of the infinite classical and quantum Heisenberg models: a new application of Trotter approximations and of the coherent-state formalism. Lett. Nuovo Cimento 24, 333-338 (1979).
    • (1979) Lett. Nuovo Cimento , vol.24 , pp. 333-338
    • Vuillermot, P.A.1
  • 30
    • 34250251310 scopus 로고
    • Nonlinear dynamics of the infinite classical Heisenberg model: existence proof and classical limit of the corresponding quantum time evolution
    • Vuillermot, P. A.: Nonlinear dynamics of the infinite classical Heisenberg model: existence proof and classical limit of the corresponding quantum time evolution. Commun. Math. Phys. 76, 1-26 (1980).
    • (1980) Commun. Math. Phys. , vol.76 , pp. 1-26
    • Vuillermot, P.A.1
  • 31
    • 36149006040 scopus 로고
    • Reciprocal relations in irreversible processes II
    • Onsager, L.: Reciprocal relations in irreversible processes II. Phys. Rev. 38, 2265-2279 (1931).
    • (1931) Phys. Rev. , vol.38 , pp. 2265-2279
    • Onsager, L.1
  • 33
    • 35248831667 scopus 로고
    • Relaxation of local thermal deviations from equilibrium
    • Emch, G. G., Radin, C.: Relaxation of local thermal deviations from equilibrium. J. Math. Phys. 12, 2043-2046 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 2043-2046
    • Emch, G.G.1    Radin, C.2
  • 34
    • 84990630751 scopus 로고
    • Linear fermion systems, molecular field models, and the KMS condition
    • Sect. II
    • van Hemmen, J. L.: Linear fermion systems, molecular field models, and the KMS condition. Fortschr. Phys. 26, 397-439 (1978). Sect. II.
    • (1978) Fortschr. Phys. , vol.26 , pp. 397-439
    • van Hemmen, J.L.1
  • 38
    • 0000265584 scopus 로고
    • Quantum theory of measurement and macroscopic observables
    • Hepp, K.: Quantum theory of measurement and macroscopic observables. Helv. Phys. Acta 45, 237-248 (1972).
    • (1972) Helv. Phys. Acta , vol.45 , pp. 237-248
    • Hepp, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.