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Volumn 65, Issue 6, 2002, Pages

Classical-to-critical crossovers from field theory

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; FUNCTIONS; INTEGRATION; MAGNETIC SUSCEPTIBILITY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; VECTORS;

EID: 37649031522     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066132     Document Type: Article
Times cited : (41)

References (70)
  • 1
  • 2
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    • J. Zinn-Justin, Euclidean Field Theory and Critical Phenomena, 3rd ed. (Clarendon Press, Oxford, 1996)
    • J. Zinn-Justin, Euclidean Field Theory and Critical Phenomena, 3rd ed. (Clarendon Press, Oxford, 1996).
  • 6
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    • Lecture Notes in Physics, edited by L. Garrido, Vol 216 (Springer-Verlag, Berlin, 1985), p. 263
    • V. Dohm, Z. Phys. 60, 61 (1985);Lecture Notes in Physics, edited by L. Garrido, Vol 216 (Springer-Verlag, Berlin, 1985), p. 263;
    • (1985) Z. Phys. , vol.60 , pp. 61
    • Dohm, V.1
  • 15
    • 85036141055 scopus 로고    scopus 로고
    • M. A. Anisimov and J. V. Sengers, in Supercritical Fluids—Fundamentals and Applications, edited by E. Kiran, P. G. Debenedetti, and C. J. Peters (Kluwer, Dordrecht, 2000)
    • M. A. Anisimov and J. V. Sengers, in Supercritical Fluids—Fundamentals and Applications, edited by E. Kiran, P. G. Debenedetti, and C. J. Peters (Kluwer, Dordrecht, 2000).
  • 39
  • 42
    • 85036305676 scopus 로고    scopus 로고
    • The present calculations differ from 18 26 in that (1) our treatment is more accurate, (2) the specific heat is considered in the two phases, and (3) three values of n are treated
    • The present calculations differ from 1826 in that (1) our treatment is more accurate, (2) the specific heat is considered in the two phases, and (3) three values of n are treated.
  • 46
    • 85036348319 scopus 로고    scopus 로고
    • D. B. Murray and B. G. Nickel (unpublished). See also appendix of 3
    • D. B. Murray and B. G. Nickel (unpublished). See also appendix of 3.
  • 53
    • 85036341788 scopus 로고    scopus 로고
    • C. Bagnuls and C. Bervillier, in Fluctuating Paths and Fields, edited by W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann (World Scientific, Singapore, 2001), p. 401
    • C. Bagnuls and C. Bervillier, in Fluctuating Paths and Fields, edited by W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann (World Scientific, Singapore, 2001), p. 401.
  • 55
    • 85036295263 scopus 로고    scopus 로고
    • B. G. Nickel, D. I. Meiron, and G. A. Baker, Jr., Guelph University report (unpublished), available at the web site http://www.physik.fuberlin.de/∼kleinert/kleiner_reb8/programs/programs.html
    • B. G. Nickel, D. I. Meiron, and G. A. Baker, Jr., Guelph University report (unpublished), available at the web site http://www.physik.fuberlin.de/∼kleinert/kleiner_reb8/programs/programs.html
  • 64
    • 85036311729 scopus 로고    scopus 로고
    • That is precisely how universal combinations of amplitudes and scaling relations between exponents occur in the field theoretical framework
    • That is precisely how universal combinations of amplitudes and scaling relations between exponents occur in the field theoretical framework.
  • 65
    • 85036291357 scopus 로고    scopus 로고
    • Only one family of corrections to scaling (controlled by the unique exponent Δ) is accounted for
    • Only one family of corrections to scaling (controlled by the unique exponent Δ) is accounted for.
  • 66
    • 85036138330 scopus 로고    scopus 로고
    • Or a combination of the two bounds; see Sec. III B
    • Or a combination of the two bounds; see Sec. III B.
  • 67
    • 85036284370 scopus 로고    scopus 로고
    • Generally speaking this is true, but θ may be nil because there exist systems which do not approach the Ising fixed point along the RG trajectory that links the Gaussian and Ising fixed points. For example, some models may have correction-to-scaling terms strictly different from those accounted for by field theory. Also, some may have “negative” correction-to-scaling terms. See 40
    • Generally speaking this is true, but θ may be nil because there exist systems which do not approach the Ising fixed point along the RG trajectory that links the Gaussian and Ising fixed points. For example, some models may have correction-to-scaling terms strictly different from those accounted for by field theory. Also, some may have “negative” correction-to-scaling terms. See 40.
  • 68
    • 85036357547 scopus 로고    scopus 로고
    • The comparison is made easier than with functions having a limited range of applicability
    • The comparison is made easier than with functions having a limited range of applicability.
  • 70
    • 0000762249 scopus 로고
    • Phys. Rev. BC. Bervillier, 14, 4964 (1976).
    • (1976) , vol.14 , pp. 4964
    • Bervillier, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.