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Volumn 82, Issue 2, 2010, Pages

Information-theory-based solution of the inverse problem in classical statistical mechanics

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC EXPRESSIONS; CLASSICAL STATISTICAL MECHANICS; COMPUTATIONAL EFFORT; HIGH DENSITY; INTERACTION POTENTIALS; INVERSE MONTE CARLO; MAXIMUM ENTROPY PRINCIPLE; MONOATOMIC FLUIDS; RADIAL PAIR DISTRIBUTION FUNCTION; TRANSITION PROBABILITIES;

EID: 77957191672     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.021128     Document Type: Article
Times cited : (12)

References (24)
  • 1
    • 0002756891 scopus 로고
    • 10.1016/0375-9601(74)90847-0
    • R. L. Henderson, Phys. Lett. A 49, 197 (1974). 10.1016/0375-9601(74) 90847-0
    • (1974) Phys. Lett. A , vol.49 , pp. 197
    • Henderson, R.L.1
  • 2
    • 0002553549 scopus 로고
    • 10.1080/01418618808205173
    • L. Reatto, Philos. Mag. A 58, 37 (1988). 10.1080/01418618808205173
    • (1988) Philos. Mag. A , vol.58 , pp. 37
    • Reatto, L.1
  • 3
    • 0000699092 scopus 로고
    • 10.1103/PhysRevA.28.3599
    • W. Schommers, Phys. Rev. A 28, 3599 (1983). 10.1103/PhysRevA.28.3599
    • (1983) Phys. Rev. A , vol.28 , pp. 3599
    • Schommers, W.1
  • 5
    • 0030543757 scopus 로고    scopus 로고
    • 10.1016/0301-0104(95)00357-6
    • A. K. Soper, J. Chem. Phys. 202, 295 (1996). 10.1016/0301-0104(95)00357-6
    • (1996) J. Chem. Phys. , vol.202 , pp. 295
    • Soper, A.K.1
  • 6
    • 0035840770 scopus 로고    scopus 로고
    • 10.1080/00268970110056889
    • A. K. Soper, Mol. Phys. 99, 1503 (2001). 10.1080/00268970110056889
    • (2001) Mol. Phys. , vol.99 , pp. 1503
    • Soper, A.K.1
  • 8
  • 9
    • 43949163028 scopus 로고
    • 10.1016/0022-2860(93)80140-Q
    • F. Cilloco, J. Mol. Struct. 296, 253 (1993). 10.1016/0022-2860(93)80140-Q
    • (1993) J. Mol. Struct. , vol.296 , pp. 253
    • Cilloco, F.1
  • 11
    • 7044247439 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.68.011202
    • N. G. Almarza and E. Lomba, Phys. Rev. E 68, 011202 (2003). 10.1103/PhysRevE.68.011202
    • (2003) Phys. Rev. e , vol.68 , pp. 011202
    • Almarza, N.G.1    Lomba, E.2
  • 13
    • 11944266539 scopus 로고
    • 10.1103/PhysRev.106.620
    • E. T. Jaynes, Phys. Rev. 106, 620 (1957). 10.1103/PhysRev.106.620
    • (1957) Phys. Rev. , vol.106 , pp. 620
    • Jaynes, E.T.1
  • 14
    • 77957194718 scopus 로고    scopus 로고
    • The configuration space of the system is assumed large enough so that for each of the sampled elements the sphere of radius rM does not cross the boundary of the system.
    • The configuration space of the system is assumed large enough so that for each of the sampled elements the sphere of radius r M does not cross the boundary of the system.
  • 20
    • 36849101808 scopus 로고
    • 10.1063/1.1676399
    • H. J. Raveché, J. Chem. Phys. 55, 2242 (1971). 10.1063/1.1676399
    • (1971) J. Chem. Phys. , vol.55 , pp. 2242
    • Raveché, H.J.1
  • 21
    • 77957195043 scopus 로고    scopus 로고
    • We have used the two-body entropy expression given by Eq. ; the same result can be obtained starting from the expression but in this case a further Lagrange multiplier enforcing a normalization condition on g (r) has to be introduced.
    • We have used the two-body entropy expression given by Eq.; the same result can be obtained starting from the expression but in this case a further Lagrange multiplier enforcing a normalization condition on g (r) has to be introduced.
  • 23
    • 77957203540 scopus 로고    scopus 로고
    • If we perform the same expansion starting from the multinomial distribution [Eq. ] we obtain a multivariate Gaussian distribution in which the correlations between different shells are imposed by the constraint [Eq. ]. However, in the asymptotic limit the off-diagonal elements of the covariance matrix become negligible and we obtain again the result .
    • If we perform the same expansion starting from the multinomial distribution [Eq.] we obtain a multivariate Gaussian distribution in which the correlations between different shells are imposed by the constraint [Eq.]. However, in the asymptotic limit the off-diagonal elements of the covariance matrix become negligible and we obtain again the result.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.