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Volumn 66, Issue 2, 2002, Pages

Critical structure factor in Ising systems

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; LIGHT TRANSMISSION; MATHEMATICAL MODELS; MIXING; MONTE CARLO METHODS; NEUTRONS; THREE DIMENSIONAL; TURBIDITY;

EID: 41349110878     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.026112     Document Type: Article
Times cited : (26)

References (59)
  • 1
    • 85036435682 scopus 로고    scopus 로고
    • Phase Transitions, Status of the Experimental and Theoretical Situation, Cargèse 1980, edited by M. Lévy, J. C. Le Guillou, and J. Zinn-Justin (Plenum, New York, 1981)
    • Phase Transitions, Status of the Experimental and Theoretical Situation, Cargèse 1980, edited by M. Lévy, J. C. Le Guillou, and J. Zinn-Justin (Plenum, New York, 1981).
  • 2
    • 85036401530 scopus 로고    scopus 로고
    • M. A. Anisimov, Critical Phenomena in Liquids and Liquid Crystals (Gordon and Breach, New York, 1991)
    • M. A. Anisimov, Critical Phenomena in Liquids and Liquid Crystals (Gordon and Breach, New York, 1991).
  • 3
    • 85036267221 scopus 로고    scopus 로고
    • cond-mat/0012164
    • A. Pelissetto and E. Vicari, e-print cond-mat/0012164, Phys. Rep. (to be published).
    • Pelissetto, A.1    Vicari, E.2
  • 4
    • 0001526646 scopus 로고
    • The structure factor directly determines the scattered light intensity in the absence of multiple scattering. However, multiple scattering is important in experiments on fluids and it is therefore essential to perform the appropriate corrections to the data. See, e.g., Ref. 2 and J.G. Shanks and J.V. Sengers, Phys. Rev. A 38, 885 (1988);
    • (1988) Phys. Rev. A , vol.38 , pp. 885
    • Shanks, J.G.1    Sengers, J.V.2
  • 6
    • 0001267473 scopus 로고    scopus 로고
    • Phys. Rev. EL. Cipelletti, 55, 7733 (1997). Note also that we consider here only Rayleigh elastic scattering, which is the dominant contribution near the critical point; see, e. g., Ref. 2.
    • (1997) , vol.55 , pp. 7733
    • Cipelletti, L.1
  • 54
    • 85036155584 scopus 로고    scopus 로고
    • For the exponent (Formula presented), which is the relevant quantity for the structure factor, we report here the best estimates [when only (Formula presented) and (Formula presented) are reported we computed (Formula presented) using the scaling relation (Formula presented)] obtained using high-temperature series extrapolations, Monte Carlo simulations, and field-theory computa-tions: (Formula presented) (Ref. 41), (Formula presented) (Ref. 42), (Formula presented) (Ref. 43), (Formula presented) (Ref. 44), (Formula presented) (Ref. 45), and (Formula presented) (Ref. 40). All results are in good agreement with the more precise estimate of Ref. 22 quoted in the text
    • For the exponent (Formula presented), which is the relevant quantity for the structure factor, we report here the best estimates [when only (Formula presented) and (Formula presented) are reported we computed (Formula presented) using the scaling relation (Formula presented)] obtained using high-temperature series extrapolations, Monte Carlo simulations, and field-theory computa-tions: (Formula presented) (Ref. 41), (Formula presented) (Ref. 42), (Formula presented) (Ref. 43), (Formula presented) (Ref. 44), (Formula presented) (Ref. 45), and (Formula presented) (Ref. 40). All results are in good agreement with the more precise estimate of Ref. 22 quoted in the text.
  • 55
    • 85036271712 scopus 로고    scopus 로고
    • the figures we report an interpolation of the experimental data of Ref. 10. We use (Formula presented), where (Formula presented) is given in Table II of Ref. 10 and (Formula presented). As can be seen from Fig. 6 in Ref. 10, this expression interpolates the experimental data in the range (Formula presented) with an error of approximately 1%
    • In the figures we report an interpolation of the experimental data of Ref. 10. We use (Formula presented), where (Formula presented) is given in Table II of Ref. 10 and (Formula presented). As can be seen from Fig. 6 in Ref. 10, this expression interpolates the experimental data in the range (Formula presented) with an error of approximately 1%.
  • 58
    • 85036336968 scopus 로고    scopus 로고
    • Ref. 50, the scaling function (Formula presented) is written as (Formula presented), so that the correlation length defined there does not coincide with the usual second-moment one. In order to be consistent with our normalizations, we have introduced the correction factor c
    • In Ref. 50, the scaling function (Formula presented) is written as (Formula presented), so that the correlation length defined there does not coincide with the usual second-moment one. In order to be consistent with our normalizations, we have introduced the correction factor c.


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