메뉴 건너뛰기




Volumn 315, Issue 1-4, 2008, Pages 353-359

Analytical predictions of non-Gaussian distribution parameters for stellar plasmas

Author keywords

Exact results; Rigorous results in statistical mechanics

Indexed keywords


EID: 49049118427     PISSN: 0004640X     EISSN: 1572946X     Source Type: Journal    
DOI: 10.1007/s10509-008-9842-3     Document Type: Review
Times cited : (9)

References (42)
  • 1
    • 0041577429 scopus 로고    scopus 로고
    • A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics
    • S. Abe 1997 A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics Phys. Lett. A 224 326
    • (1997) Phys. Lett. a , vol.224 , pp. 326
    • Abe, S.1
  • 3
    • 0035968842 scopus 로고    scopus 로고
    • Dynamical foundations of nonextensive statistical mechanics
    • C. Beck 2001 Dynamical foundations of nonextensive statistical mechanics Phys. Rev. Lett. 87 180601
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 180601
    • Beck, C.1
  • 6
    • 49049084942 scopus 로고    scopus 로고
    • Non-Gaussian distributions under scrutiny
    • arXiv:0712.3153v1
    • Dauxois, T.: Non-Gaussian distributions under scrutiny, J. Stat. Mech., N08001 (2007). arXiv:0712.3153v1
    • (2007) J. Stat. Mech.
    • Dauxois, T.1
  • 8
    • 33645152330 scopus 로고    scopus 로고
    • Tunable Tsallis distributions in dissipative optical lattices
    • P. Douglas S. Bergamini F. Renzoni 2006 Tunable Tsallis distributions in dissipative optical lattices Phys. Rev. Lett. 96 110601
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 110601
    • Douglas, P.1    Bergamini, S.2    Renzoni, F.3
  • 9
    • 41349086893 scopus 로고    scopus 로고
    • Collisional cross sections and momentum distributions in astrophysical plasmas: Dynamics and statistical mechanics link
    • F. Ferro P. Quarati 2005 Collisional cross sections and momentum distributions in astrophysical plasmas: Dynamics and statistical mechanics link Phys. Rev. E 71 026408
    • (2005) Phys. Rev. e , vol.71 , pp. 026408
    • Ferro, F.1    Quarati, P.2
  • 15
    • 36149001712 scopus 로고    scopus 로고
    • Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
    • D. Jiulin S. Yeli 2008 Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions Astrophys. Space Sci. 312 47
    • (2008) Astrophys. Space Sci. , vol.312 , pp. 47
    • Jiulin, D.1    Yeli, S.2
  • 17
    • 41349093327 scopus 로고    scopus 로고
    • Statistical mechanics in the context of special relativity
    • G. Kaniadakis 2002 Statistical mechanics in the context of special relativity Phys. Rev. E 66 056125
    • (2002) Phys. Rev. e , vol.66 , pp. 056125
    • Kaniadakis, G.1
  • 18
    • 28844477953 scopus 로고    scopus 로고
    • Statistical mechanics in the context of special relativity II
    • G. Kaniadakis 2005 Statistical mechanics in the context of special relativity II Phys. Rev. E 72 036108
    • (2005) Phys. Rev. e , vol.72 , pp. 036108
    • Kaniadakis, G.1
  • 19
    • 32344439949 scopus 로고    scopus 로고
    • News and expectations in thermostatistics
    • G. Kaniadakis M. Lissia 2004 News and expectations in thermostatistics Physica A 340 XV
    • (2004) Physica a , vol.340
    • Kaniadakis, G.1    Lissia, M.2
  • 20
    • 43949173244 scopus 로고
    • A set of stationary non-Maxwellian distributions
    • G. Kaniadakis P. Quarati 1993 A set of stationary non-Maxwellian distributions Physica A 192 677
    • (1993) Physica a , vol.192 , pp. 677
    • Kaniadakis, G.1    Quarati, P.2
  • 21
    • 0031094663 scopus 로고    scopus 로고
    • Polynomial expansion of diffusion and drift coefficients for classical and quantum statistics
    • G. Kaniadakis P. Quarati 1997 Polynomial expansion of diffusion and drift coefficients for classical and quantum statistics Physica A 237 229
    • (1997) Physica a , vol.237 , pp. 229
    • Kaniadakis, G.1    Quarati, P.2
  • 23
    • 37649026618 scopus 로고    scopus 로고
    • Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics
    • G. Kaniadakis M. Lissia A.M. Scarfone 2005 Two-parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics Phys. Rev. E 71 046128
    • (2005) Phys. Rev. e , vol.71 , pp. 046128
    • Kaniadakis, G.1    Lissia, M.2    Scarfone, A.M.3
  • 24
    • 0037136282 scopus 로고    scopus 로고
    • Relativistic nonextensive thermodynamics
    • A. Lavagno 2002 Relativistic nonextensive thermodynamics Phys. Lett. A 301 13
    • (2002) Phys. Lett. a , vol.301 , pp. 13
    • Lavagno, A.1
  • 26
    • 33845340755 scopus 로고    scopus 로고
    • Metastability of electron-nuclear astrophysical plasmas: Motivations, signals and conditions
    • A. Lavagno P. Quarati 2006 Metastability of electron-nuclear astrophysical plasmas: motivations, signals and conditions Astrophys. Space Sci. 305 253
    • (2006) Astrophys. Space Sci. , vol.305 , pp. 253
    • Lavagno, A.1    Quarati, P.2
  • 28
    • 0037769057 scopus 로고    scopus 로고
    • Anomalous diffusion and Tsallis statistics in an optical lattice
    • E. Lutz 2003 Anomalous diffusion and Tsallis statistics in an optical lattice Phys. Rev. A 67 051402
    • (2003) Phys. Rev. a , vol.67 , pp. 051402
    • Lutz, E.1
  • 29
    • 33645921018 scopus 로고    scopus 로고
    • Nonextensive interpretation of radiative recombination in electron cooling
    • G. Maero P. Quarati F. Ferro 2006 Nonextensive interpretation of radiative recombination in electron cooling Eur. Phys. J. B 50 23
    • (2006) Eur. Phys. J. B , vol.50 , pp. 23
    • Maero, G.1    Quarati, P.2    Ferro, F.3
  • 30
    • 33751542633 scopus 로고    scopus 로고
    • Pathway model, superstatistics, Tsallis statistics and a generalized measure of entropy
    • A.M. Mathai H.J. Haubold 2007 Pathway model, superstatistics, Tsallis statistics and a generalized measure of entropy Physica A 375 110
    • (2007) Physica a , vol.375 , pp. 110
    • Mathai, A.M.1    Haubold, H.J.2
  • 33
    • 2942709967 scopus 로고    scopus 로고
    • Phase space cell in nonextensive classical systems
    • F. Quarati P. Quarati 2003 Phase space cell in nonextensive classical systems Entropy 5 239
    • (2003) Entropy , vol.5 , pp. 239
    • Quarati, F.1    Quarati, P.2
  • 34
    • 35348826622 scopus 로고    scopus 로고
    • Modified Debye-Huckel Electron Shielding and Penetration Factor
    • P. Quarati A.M. Scarfone 2007 Modified Debye-Huckel Electron Shielding and Penetration Factor Astrophys. J. 666 1310
    • (2007) Astrophys. J. , vol.666 , pp. 1310
    • Quarati, P.1    Scarfone, A.M.2
  • 35
    • 0033705253 scopus 로고    scopus 로고
    • Tsallis distribution functions for charged particles in electric and magnetic fields
    • A. Rossani A.M. Scarfone 2000 Tsallis distribution functions for charged particles in electric and magnetic fields Physica A 282 212
    • (2000) Physica a , vol.282 , pp. 212
    • Rossani, A.1    Scarfone, A.M.2
  • 36
    • 6344253027 scopus 로고    scopus 로고
    • Astrophysical thermonuclear functions for Boltzmann-Gibbs statistics and Tsallis statistics
    • R.K. Saxena A.M. Mathai H.J. Haubold 2004 Astrophysical thermonuclear functions for Boltzmann-Gibbs statistics and Tsallis statistics Physica A 344 649
    • (2004) Physica a , vol.344 , pp. 649
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 37
    • 33845323067 scopus 로고    scopus 로고
    • Solution of generalized fractional reactions diffusion equations
    • R.K. Saxena A.M. Mathai H.J. Haubold 2006 Solution of generalized fractional reactions diffusion equations Astrophys. Space Sci. 305 305
    • (2006) Astrophys. Space Sci. , vol.305 , pp. 305
    • Saxena, R.K.1    Mathai, A.M.2    Haubold, H.J.3
  • 38
    • 33646032403 scopus 로고    scopus 로고
    • Entropy production and Pesin identity at the onset of chaos
    • arXiv:cond-mat/0412730
    • Tonelli, R., Mezzorani, G., Meloni, F., Lissia, M., Coraddu, M.: Entropy production and Pesin identity at the onset of chaos, Prog. Theor. Phys. 115, 23 (2006). arXiv:cond-mat/0412730
    • (2006) Prog. Theor. Phys. , vol.115 , pp. 23
    • Tonelli, R.1    Mezzorani, G.2    Meloni, F.3    Lissia, M.4    Coraddu, M.5
  • 39
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • C. Tsallis 1988 Possible generalization of Boltzmann-Gibbs statistics J. Stat. Phys. 52 479
    • (1988) J. Stat. Phys. , vol.52 , pp. 479
    • Tsallis, C.1
  • 40
    • 49049104893 scopus 로고    scopus 로고
    • T. Dauxois' "non-Gaussian distributions under scrutiny" under scrutiny
    • (to be published). arXiv:0712.4165v2
    • Tsallis, C.: T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny. Space Sci. Astrophys. (2008, to be published). arXiv:0712.4165v2
    • (2008) Space Sci. Astrophys.
    • Tsallis, C.1
  • 41
    • 33846180420 scopus 로고    scopus 로고
    • Fluctuations, correlations and the nonextensivity
    • G. Wilk Z. Wlodarczyk 2007 Fluctuations, correlations and the nonextensivity Physica A 376 279
    • (2007) Physica a , vol.376 , pp. 279
    • Wilk, G.1    Wlodarczyk, Z.2
  • 42
    • 0009087439 scopus 로고
    • Theory of interparticle correlations in dense, high-temperature plasmas. VI. Probability densities of the electric microfields
    • X.Z. Yan S. Ichimaru 1986 Theory of interparticle correlations in dense, high-temperature plasmas. VI. Probability densities of the electric microfields Phys. Rev. A 34 2167
    • (1986) Phys. Rev. a , vol.34 , pp. 2167
    • Yan, X.Z.1    Ichimaru, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.