메뉴 건너뛰기




Volumn 62, Issue 6, 2000, Pages 7961-7972

Mean-field fluid behavior of the Gaussian core model

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CORRELATION METHODS; FREE ENERGY; INTEGRAL EQUATIONS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE;

EID: 0034516454     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.7961     Document Type: Article
Times cited : (272)

References (27)
  • 3
    • 0003625785 scopus 로고
    • J.P. Hansen, D. Levesque, J. Zinn-Justin, North Holland, Amsterdam
    • D. Frenkel, in Liquids, Freezing, and the Glass Transition, edited by J.P. Hansen, D. Levesque, and J. Zinn-Justin (North Holland, Amsterdam, 1991).
    • (1991) Liquids, Freezing, and the Glass Transition
    • Frenkel, D.1
  • 12
    • 85037247870 scopus 로고    scopus 로고
    • We note that in the polymer literature the crossover density between the dilute and semi-dilute regime is often denoted by a fixed density (Formula presented). However, in keeping with traditional usage in the theory of simple fluids 13, we prefer to use (Formula presented) as a reduced density
    • We note that in the polymer literature the crossover density between the dilute and semi-dilute regime is often denoted by a fixed density (Formula presented). However, in keeping with traditional usage in the theory of simple fluids 13, we prefer to use (Formula presented) as a reduced density.
  • 15
    • 85037237208 scopus 로고    scopus 로고
    • We prefer to use the term RPA instead of MSA, since the latter usually implies a hard core 13
    • We prefer to use the term RPA instead of MSA, since the latter usually implies a hard core 13.
  • 16
    • 0001466936 scopus 로고
    • However, for some densities (Formula presented), leading to a divergence of the logarithm. To avoid this problem we expand the logarithm to second order in (Formula presented). Of course one could always expand to even higher orders, i.e., to third order would be RPA3 etc
    • Instead of expanding the logarithm, one could replace (Formula presented) with (Formula presented) in the full HNC expression for (Formula presented) (5), which would lead to a noniterative equation similar to the one originally proposed by Abe in the context of Coulomb systems [R. Abe, Prog. Theor. Phys. 22, 213 (1959)]. However, for some densities (Formula presented), leading to a divergence of the logarithm. To avoid this problem we expand the logarithm to second order in (Formula presented). Of course one could always expand to even higher orders, i.e., to third order would be RPA3 etc.
    • (1959) Prog. Theor. Phys. , vol.22 , pp. 213
    • Abe, R.1
  • 17
    • 85037196497 scopus 로고    scopus 로고
    • Of course at the very lowest densities the EOS is again described by a linear second virial theory, but the slope is smaller than that of the MF theory
    • Of course at the very lowest densities the EOS is again described by a linear second virial theory, but the slope is smaller than that of the MF theory.
  • 23
    • 85037247224 scopus 로고    scopus 로고
    • The (Formula presented) would be replaced by the virial coefficients (Formula presented) in Eq. (39), see R. van Roij, Ph.D. thesis, Utrecht, 1996, for a particularly lucid account of the stability of second-virial theories
    • The (Formula presented) would be replaced by the virial coefficients (Formula presented) in Eq. (39); see R. van Roij, Ph.D. thesis, Utrecht, 1996, for a particularly lucid account of the stability of second-virial theories.
  • 24
    • 0001744443 scopus 로고    scopus 로고
    • where the low-density interaction between star polymers was used to map out the phase behavior of star-polymer solutions at finite densities
    • Our approach here mirrors that of M. Watzlawek, C.N. Likos, and H. Löwen, Phys. Rev. Lett. 82, 5289 (1999), where the low-density interaction between star polymers was used to map out the phase behavior of star-polymer solutions at finite densities.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 5289
    • Watzlawek, M.1    Likos, C.N.2    Löwen, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.