메뉴 건너뛰기




Volumn 9, Issue , 2007, Pages

Relative entropy, Haar measures and relativistic canonical velocity distributions

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION EVALUATION; MEASUREMENT THEORY; PHASE EQUILIBRIA; TEMPERATURE CONTROL; THERMODYNAMICS; VELOCITY DISTRIBUTION;

EID: 34249278486     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/9/5/144     Document Type: Article
Times cited : (48)

References (37)
  • 1
  • 2
    • 33744656583 scopus 로고
    • Classical mechanics and gauge theories
    • Debbasch F 1993 Classical mechanics and gauge theories Am. J. Phys. 61 1131-3
    • (1993) Am. J. Phys , vol.61 , pp. 1131-1133
    • Debbasch, F.1
  • 6
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes E T 1957 Information theory and statistical mechanics Phys. Rev. 106 620-30
    • (1957) Phys. Rev , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 7
    • 0004631828 scopus 로고
    • Basic properties of the generalized Boltzmann-Gibbs-Shannon entropy
    • Ochs W 1976 Basic properties of the generalized Boltzmann-Gibbs-Shannon entropy Rep. Math. Phys. 9 135-55
    • (1976) Rep. Math. Phys , vol.9 , pp. 135-155
    • Ochs, W.1
  • 8
    • 34249286159 scopus 로고
    • A unique characterization of the generalized Boltzmann-Gibbs-Shannon entropy
    • Ochs W 1976 A unique characterization of the generalized Boltzmann-Gibbs-Shannon entropy Rep. Math. Phys. 9 331-54
    • (1976) Rep. Math. Phys , vol.9 , pp. 331-354
    • Ochs, W.1
  • 9
    • 5844266551 scopus 로고
    • General properties of entropy
    • Wehrl A 1978 General properties of entropy Rev. Mod. Phys. 50 221-60
    • (1978) Rev. Mod. Phys , vol.50 , pp. 221-260
    • Wehrl, A.1
  • 10
    • 42749101125 scopus 로고    scopus 로고
    • On the geometry and entropy of non-Hamiltonian phase space
    • Sergi A and Giaquinta P V 2007 On the geometry and entropy of non-Hamiltonian phase space J. Stat. Mech.: Theor. Exp. P02013
    • (2007) J. Stat. Mech.: Theor. Exp
    • Sergi, A.1    Giaquinta, P.V.2
  • 12
    • 0005210621 scopus 로고
    • Der Massbegriff in der Theorie der kontinuierlichen Gruppen
    • Haar A 1933 Der Massbegriff in der Theorie der kontinuierlichen Gruppen Ann. Math. 34 147-69
    • (1933) Ann. Math , vol.34 , pp. 147-169
    • Haar, A.1
  • 14
    • 33845382058 scopus 로고    scopus 로고
    • On the momentum distribution of molecules of an ideal gas
    • Matolsci T, Kristóf J and Székely M 1996 On the momentum distribution of molecules of an ideal gas Publ. Appl. Analysis 7 1-14
    • (1996) Publ. Appl. Analysis , vol.7 , pp. 1-14
    • Matolsci, T.1    Kristóf, J.2    Székely, M.3
  • 17
    • 84976651235 scopus 로고
    • Zur Elektrodynamik bewegter Körper
    • Einstein A 1905 Zur Elektrodynamik bewegter Körper Ann. Phys., Lpz. 17 891-921
    • (1905) Ann. Phys., Lpz , vol.17 , pp. 891-921
    • Einstein, A.1
  • 18
    • 84978088481 scopus 로고
    • Ist die Trägheit eines Körpers von seinem Energiegehalt abhängig?
    • Einstein A 1905 Ist die Trägheit eines Körpers von seinem Energiegehalt abhängig? Ann. Phys., Lpz. 18 639-41
    • (1905) Ann. Phys., Lpz , vol.18 , pp. 639-641
    • Einstein, A.1
  • 19
    • 84973242902 scopus 로고
    • Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie
    • Jüttner F 1911 Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie Ann. Phys., Lpz. 34 856-82
    • (1911) Ann. Phys., Lpz , vol.34 , pp. 856-882
    • Jüttner, F.1
  • 22
    • 0043104260 scopus 로고
    • Thermodynamics and statistical mechanics in the special theory of relativity
    • Ter Haar D and Wegeland H 1971 Thermodynamics and statistical mechanics in the special theory of relativity Phys. Rep. 131-54
    • (1971) Phys. Rep , pp. 131-154
    • Ter Haar, D.1    Wegeland, H.2
  • 24
    • 0004183522 scopus 로고
    • Englewood Cliffs, NJ: Prentice Hall
    • Liboff R 1990 Kinetic Theory (Englewood Cliffs, NJ: Prentice Hall)
    • (1990) Kinetic Theory
    • Liboff, R.1
  • 25
    • 45349112616 scopus 로고
    • A manifestly covariant relativistic Boltzmann equation for the evolution of a system of events
    • Horwitz L P, Shashoua S and Schieve W C 1989 A manifestly covariant relativistic Boltzmann equation for the evolution of a system of events Physica A 161 300-38
    • (1989) Physica A , vol.161 , pp. 300-338
    • Horwitz, L.P.1    Shashoua, S.2    Schieve, W.C.3
  • 26
    • 0000189492 scopus 로고
    • Gibbs ensembles in relativistic classical and quantum mechanics
    • Horwitz L P, Schieve W C and Piron C 1981 Gibbs ensembles in relativistic classical and quantum mechanics Ann. Phys. 137 306-40
    • (1981) Ann. Phys , vol.137 , pp. 306-340
    • Horwitz, L.P.1    Schieve, W.C.2    Piron, C.3
  • 27
    • 28244500958 scopus 로고    scopus 로고
    • Covariant relativistic statistical mechanics of many particles
    • Schieve W C 2005 Covariant relativistic statistical mechanics of many particles Found. Phys. 35 1359-81
    • (2005) Found. Phys , vol.35 , pp. 1359-1381
    • Schieve, W.C.1
  • 28
    • 33644620781 scopus 로고    scopus 로고
    • Covariant equilibrium statistical mechanics
    • Lehmann E 2006 Covariant equilibrium statistical mechanics J. Math. Phys. 47 023303
    • (2006) J. Math. Phys , vol.47 , pp. 023303
    • Lehmann, E.1
  • 29
    • 33751171927 scopus 로고    scopus 로고
    • One-dimensional nonrelativistic and relativistic Brownian motions: A microscopic collision model
    • Dunkel J and Hänggi P 2007 One-dimensional nonrelativistic and relativistic Brownian motions: a microscopic collision model Physica A 374 559-72
    • (2007) Physica A , vol.374 , pp. 559-572
    • Dunkel, J.1    Hänggi, P.2
  • 30
    • 33846679311 scopus 로고    scopus 로고
    • Relativistic diffusion processes and random walk models
    • Dunkel J, Talkner P and Hänggi P 2007 Relativistic diffusion processes and random walk models Phys. Rev. D 75 043001
    • (2007) Phys. Rev. D , vol.75 , pp. 043001
    • Dunkel, J.1    Talkner, P.2    Hänggi, P.3
  • 31
    • 35448962687 scopus 로고
    • Lorentz-invariance of the distribution in phase space
    • van Kampen N G 1969 Lorentz-invariance of the distribution in phase space Physica 43 244-62
    • (1969) Physica , vol.43 , pp. 244-262
    • van Kampen, N.G.1
  • 33
    • 33750717221 scopus 로고    scopus 로고
    • Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation
    • Dunkel J and Hänggi P 2006 Relativistic Brownian motion: from a microscopic binary collision model to the Langevin equation Phys. Rev. E 74 051106
    • (2006) Phys. Rev. E , vol.74 , pp. 051106
    • Dunkel, J.1    Hänggi, P.2
  • 34
    • 34249298600 scopus 로고    scopus 로고
    • Dunkel J and Hänggi P 2006 Phys. Rev. E 74 069902 (erratum)
    • Dunkel J and Hänggi P 2006 Phys. Rev. E 74 069902 (erratum)
  • 35
    • 33645464255 scopus 로고    scopus 로고
    • Heavy-quark probes of the quark-gluon plasma and interpretation of recent data taken at the BNL relativistic heavy ion collider
    • van Hees H, Greco V and Rapp R 2006 Heavy-quark probes of the quark-gluon plasma and interpretation of recent data taken at the BNL relativistic heavy ion collider Phys. Rev. C 73 034913
    • (2006) Phys. Rev. C , vol.73 , pp. 034913
    • van Hees, H.1    Greco, V.2    Rapp, R.3
  • 36
    • 0000594694 scopus 로고
    • The observations of relic radiation as a test of the nature of x-ray radiation from the clusters of galaxies
    • Sunyaev R A and Zeldovich Y B 1972 The observations of relic radiation as a test of the nature of x-ray radiation from the clusters of galaxies Commun. Astrophys. Space Phys. 4 173
    • (1972) Commun. Astrophys. Space Phys , vol.4 , pp. 173
    • Sunyaev, R.A.1    Zeldovich, Y.B.2
  • 37
    • 22644451801 scopus 로고    scopus 로고
    • Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies
    • Itoh N, Kohyama Y and Nozawa S 1998 Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies Astrophys. J. 502 7-15
    • (1998) Astrophys. J , vol.502 , pp. 7-15
    • Itoh, N.1    Kohyama, Y.2    Nozawa, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.