메뉴 건너뛰기




Volumn 237, Issue 1-2, 1997, Pages 257-284

Explicit thermostatics of Stanley's n-vector model on the harmonic chain by Fourier analysis

Author keywords

Abstract harmonic analysis; Classical spin models; Ising problems; Lattice theory and statistics

Indexed keywords

ENTROPY; FOURIER TRANSFORMS; FREE ENERGY; HARMONIC ANALYSIS; MAGNETOSTRICTION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; SPECIFIC HEAT; STATISTICAL MECHANICS; THERMAL EXPANSION;

EID: 0031096064     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00413-X     Document Type: Article
Times cited : (1)

References (38)
  • 2
    • 0003585220 scopus 로고
    • World Scientific, Singapore
    • J. Bernasconi and T. Schneider, eds., Physics in One Dimension (Spinger, Heidelberg, 1981); D.C. Mattis, The Many-Body Problem (World Scientific, Singapore, 1993).
    • (1993) The Many-Body Problem
    • Mattis, D.C.1
  • 3
    • 0000610114 scopus 로고
    • eds. C. Domb and M.S. Green Academic Press, London
    • C.J. Thompson, in: Phase Transitions and Critical Phenomena, Vol. 1, eds. C. Domb and M.S. Green (Academic Press, London, 1972) p. 181.
    • (1972) Phase Transitions and Critical Phenomena , vol.1 , pp. 181
    • Thompson, C.J.1
  • 4
    • 0040472016 scopus 로고
    • In this paper we have briefly communicated (without details) some of the explicit results on basic thermostatic quantities of the n-vector model on the harmonic chain
    • G. Junker and H. Leschke, Int. J. Mod. Phys. B 8 (1994) 3501. In this paper we have briefly communicated (without details) some of the explicit results on basic thermostatic quantities of the n-vector model on the harmonic chain.
    • (1994) Int. J. Mod. Phys. B , vol.8 , pp. 3501
    • Junker, G.1    Leschke, H.2
  • 12
    • 0011598916 scopus 로고
    • eds. C. Domb and M.S. Green Academic Press, London
    • H.E. Stanley, in: Phase Transitions and Critical Phenomena, Vol. 3, eds. C. Domb and M.S. Green (Academic Press, London, 1974) p. 486.
    • (1974) Phase Transitions and Critical Phenomena , vol.3 , pp. 486
    • Stanley, H.E.1
  • 20
    • 25044449167 scopus 로고
    • H. Moraal, Classical, Discrete Spin Models: Symmetry, Duality and Renormalization (Springer, Berlin, 1984); Physica A 197 (1993) 436, 457 and 469.
    • (1993) Physica A , vol.197 , pp. 436
  • 26
    • 0040472014 scopus 로고    scopus 로고
    • y
    • y.
  • 27
    • 0039287184 scopus 로고    scopus 로고
    • For n = 1 see Ref. [22, formula (7.2.4.91)]. The case n = 2 is directly obtained from the last expression in (5.11). For n = 3 the integral (5.10) reduces to the sum of two error functions with complex argument which are expressed in terms of confluent hypergeometric functions
    • For n = 1 see Ref. [22, formula (7.2.4.91)]. The case n = 2 is directly obtained from the last expression in (5.11). For n = 3 the integral (5.10) reduces to the sum of two error functions with complex argument which are expressed in terms of confluent hypergeometric functions.
  • 29
    • 0039879026 scopus 로고
    • Doctoral thesis, Universität Würzburg
    • G. Junker, Doctoral thesis, Universität Würzburg (1988).
    • (1988)
    • Junker, G.1
  • 31
    • 0003588884 scopus 로고
    • Dekker, New York
    • V.S. Vladimirov, Equations of Mathematical Physics (Dekker, New York, 1971); K. Jörgens, Linear Integral Operators, (Pitman, Boston, 1982); M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic Press, New York, 1978).
    • (1971) Equations of Mathematical Physics
    • Vladimirov, V.S.1
  • 32
    • 0004273999 scopus 로고
    • Pitman, Boston
    • V.S. Vladimirov, Equations of Mathematical Physics (Dekker, New York, 1971); K. Jörgens, Linear Integral Operators, (Pitman, Boston, 1982); M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic Press, New York, 1978).
    • (1982) Linear Integral Operators
    • Jörgens, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.