메뉴 건너뛰기




Volumn 351, Issue 2-4, 2005, Pages 273-293

Nonextensive thermodynamics of the two-site Hubbard model

Author keywords

Hubbard model; Nonextensive statistics

Indexed keywords

ENTROPY; GIBBS FREE ENERGY; LAGRANGE MULTIPLIERS; MAGNETIC SUSCEPTIBILITY; PROBABILITY DISTRIBUTIONS; SPECIFIC HEAT; TEMPERATURE DISTRIBUTION; VELOCITY MEASUREMENT;

EID: 16444362968     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.01.025     Document Type: Article
Times cited : (31)

References (41)
  • 4
    • 0000837543 scopus 로고    scopus 로고
    • There are some systems with long-range interactions, whose energy and free energy are not proportional to N while the entropy is proportional to N, and which are well described by the BGS (see, for example, S.A. Cannas, A.C.N. Magalhães, F.A. Tamarit, Phys. Rev. B 61 (2000) 11521).
    • (2000) Phys. Rev. B , vol.61 , pp. 11521
    • Cannas, S.A.1    Magalhães, A.C.N.2    Tamarit, F.A.3
  • 5
    • 16444383454 scopus 로고    scopus 로고
    • Lists of many applications of the nonextensive statistics are available at URL: http://tsallis.cat.cbpf.br/biblio.htm
  • 7
    • 14344283425 scopus 로고    scopus 로고
    • M. Schmidt Phys. Rev. Lett. 86 2001 1191; See also, C. Tsallis, B.J.C. Cabral, A. Rapisarda, V. Latora, e-print: cond-mat/0112266.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1191
    • Schmidt, M.1
  • 8
    • 14344283425 scopus 로고    scopus 로고
    • See also, C. Tsallis, B.J.C. Cabral, A. Rapisarda, V. Latora, e-print: cond-mat/0112266
    • M. Schmidt Phys. Rev. Lett. 86 2001 1191; See also, C. Tsallis, B.J.C. Cabral, A. Rapisarda, V. Latora, e-print: cond-mat/0112266.
  • 9
    • 16444382099 scopus 로고    scopus 로고
    • Note
    • The specific heat in microcanonical ensembles of BGS may be not always positive (e.g. Ref. [6]).
  • 11
    • 0037405137 scopus 로고    scopus 로고
    • A. Taruya, and M. Sakagami Physica A 322 2003 285; A. Taruya, and M. Sakagami Phys. Rev. Lett. 90 2003 181101 In the latter paper, it is shown that when Tsallis' old formalism is employed (Ref. [1]), the q - n relation is given by n = 1 / (q - 1) + (3 / 2) leading to q = 1.05 - 1.66 for n = 3 -20, where n is the polytrope index.
    • (2003) Physica A , vol.322 , pp. 285
    • Taruya, A.1    Sakagami, M.2
  • 12
    • 0038271919 scopus 로고    scopus 로고
    • A. Taruya, and M. Sakagami Physica A 322 2003 285; A. Taruya, and M. Sakagami Phys. Rev. Lett. 90 2003 181101 In the latter paper, it is shown that when Tsallis' old formalism is employed (Ref. [1]), the q - n relation is given by n = 1 / (q - 1) + (3 / 2) leading to q = 1.05 - 1.66 for n = 3 -20, where n is the polytrope index.
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 181101
    • Taruya, A.1    Sakagami, M.2
  • 16
    • 16444364566 scopus 로고    scopus 로고
    • A.K. Rajagopal, C.S. Pande, S. Abe, e-print: cond-mat/0403738
    • A.K. Rajagopal, C.S. Pande, S. Abe, e-print: cond-mat/0403738.
  • 18
    • 0347244489 scopus 로고    scopus 로고
    • S. Abe Phys. Lett. A 263 1999 424; S. Abe Phys. Lett. A 267 2000 456 (erratum).
    • (1999) Phys. Lett. A , vol.263 , pp. 424
    • Abe, S.1
  • 19
    • 0034719625 scopus 로고    scopus 로고
    • S. Abe Phys. Lett. A 263 1999 424; S. Abe Phys. Lett. A 267 2000 456 (erratum)
    • (2000) Phys. Lett. A , vol.267 , pp. 456
    • Abe, S.1
  • 21
    • 7244236318 scopus 로고    scopus 로고
    • Y. Kakehashi Adv. Phys. 53 2004 497 related references therein
    • (2004) Adv. Phys. , vol.53 , pp. 497
    • Kakehashi, Y.1
  • 23
    • 0001187024 scopus 로고
    • H. Shiba, and P.A. Pincus Phys. Rev. B 5 1972 1966; H. Shiba, and P.A. Pincus Prog. Theor. Phys. 48 1972 2171
    • (1972) Phys. Rev. B , vol.5 , pp. 1966
    • Shiba, H.1    Pincus, P.A.2
  • 27
    • 16444373697 scopus 로고    scopus 로고
    • H. Hasegawa, e-print: cond-mat/0408669
    • H. Hasegawa, e-print: cond-mat/0408669.
  • 28
    • 16444378151 scopus 로고    scopus 로고
    • M. Luban J. Magn. Magn. Mater. 272-276 2004 e635; H. Kachkachi, D.A. Garanin, e-print: cond/mat/0310694.
    • (2004) J. Magn. Magn. Mater. , vol.272-276
    • Luban, M.1
  • 29
    • 16444378151 scopus 로고    scopus 로고
    • H. Kachkachi, D.A. Garanin, e-print: cond/mat/0310694
    • M. Luban J. Magn. Magn. Mater. 272-276 2004 e635; H. Kachkachi, D.A. Garanin, e-print: cond/mat/0310694.
  • 36
    • 16444366073 scopus 로고    scopus 로고
    • A.V. Postnikov, M. Brüger, J. Schnack, e-print: cond-mat/0404343
    • A.V. Postnikov, M. Brüger, J. Schnack, e-print: cond-mat/0404343.
  • 38
    • 16444386206 scopus 로고    scopus 로고
    • note
    • If the half-filled electron occupancy is satisfied for both d ε and d γ subbands, the number of eigenvalues for the CE of the N-site Hubbard model with the orbital degeneracy becomes C ND ε 2 ND ε C ND γ 2 ND γ where D ε = 2 and D γ = 3 for 3d transition metals.
  • 39
    • 16444364832 scopus 로고    scopus 로고
    • M.S. Reis, J.P. Araújo, V.S. Amaral, E.K. Lenzi, I.S. Oliveira, e-print, cond-mat/0207245
    • M.S. Reis, J.P. Araújo, V.S. Amaral, E.K. Lenzi, I.S. Oliveira, e-print, cond-mat/0207245.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.