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15
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0003943822
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C. Caccamo, and G. Stell, J.-P. Hansen Kluwer Academic, Dordrecht
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G. Stell, in New Approaches to Problems in Liquid State Theory, NATO Science Series C Vol. 529, edited by C. Caccamo, and G. Stell, J.-P. Hansen (Kluwer Academic, Dordrecht, 1999), p. 71.
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(1999)
New Approaches to Problems in Liquid State Theory, NATO Science Series C Vol. 529
, pp. 71
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Stell, G.1
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32
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85035296345
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A brief, summary account of our work has been presented in G. Orkoulas, M. E. Fisher, and A. Z. Panagiotopoulos, in Computer Simulation Studies in Condensed Matter Physics XIII, 13th Annual Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, Athens, Georgia, 2000, edited by D. P. Landau, S. P. Lewis, and H. B. Schüttler (Springer, Heidelberg, 2000), p. 167
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A brief, summary account of our work has been presented in G. Orkoulas, M. E. Fisher, and A. Z. Panagiotopoulos, in Computer Simulation Studies in Condensed Matter Physics XIII, 13th Annual Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics, Athens, Georgia, 2000, edited by D. P. Landau, S. P. Lewis, and H. B. Schüttler (Springer, Heidelberg, 2000), p. 167.
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36
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85035279008
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A rather natural locus of effective symmetry, much used in experimental work, is based on linear extrapolation vs T of the coexistence diameter (Formula presented) defined in Eq. (1.2), up to and beyond (Formula presented) Apart from the uncertain nature of the critical singularities in (Formula presented) [as discussed after Eq. (1.2)], the diameter, like the coexistence curve itself, is essentially undefined in the near-critical region of a finite-size simulation owing to the necessarily strong rounding and spread of the density distribution. In the RPM, furthermore, the diameter has a very large slope and, it seems likely, significant curvature so that even naive extrapolation is problematical
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A rather natural locus of effective symmetry, much used in experimental work, is based on linear extrapolation vs T of the coexistence diameter (Formula presented) defined in Eq. (1.2), up to and beyond (Formula presented) Apart from the uncertain nature of the critical singularities in (Formula presented) [as discussed after Eq. (1.2)], the diameter, like the coexistence curve itself, is essentially undefined in the near-critical region of a finite-size simulation owing to the necessarily strong rounding and spread of the density distribution. In the RPM, furthermore, the diameter has a very large slope and, it seems likely, significant curvature so that even naive extrapolation is problematical.
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49
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36849114798
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These points can also be found in T. L. Hill, Thermodynamics of Small Systems, Parts I and II (Dover, New York, 1962)
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For a discussion of the isothermal-isobaric ensemble see, e.g., W. W. Wood, J. Chem. Phys. 48, 415 (1968).These points can also be found in T. L. Hill, Thermodynamics of Small Systems, Parts I and II (Dover, New York, 1962).
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(1968)
J. Chem. Phys.
, vol.48
, pp. 415
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Wood, W.W.1
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52
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0004081609
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M. S. Green Academic, New York
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M. E. Fisher, in Critical Phenomena, edited by M. S. Green (Academic, New York, 1971), p. 1, Sec. V.
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(1971)
Critical Phenomena
, pp. 1
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Fisher, M.E.1
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63
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0014603714
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M. Vicentini-Missoni, J. M. H. Levelt Sengers, and M. S. Green, J. Res. Natl. Bur. Stand., Sect. A 73, 563 (1969).
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(1969)
J. Res. Natl. Bur. Stand., Sect. A
, vol.73
, pp. 563
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Vicentini-Missoni, M.1
Levelt Sengers, J.M.H.2
Green, M.S.3
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64
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85035303429
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See 19 and references therein
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See 19 and references therein.
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65
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33645440181
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L. Vega, E. de Miguel, L. F. Rull, G. Jackson, and I. A. McLure, J. Chem. Phys. 96, 2296 (1992).
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(1992)
J. Chem. Phys.
, vol.96
, pp. 2296
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Vega, L.1
de Miguel, E.2
Rull, L.F.3
Jackson, G.4
McLure, I.A.5
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68
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85035273638
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H. E. Stanley, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1974), Vol. 3, Chap. 7
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H. E. Stanley, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, London, 1974), Vol. 3, Chap. 7.
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71
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0030783474
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I. M. Abdulagatov, L. N. Levina, Z. R. Zakaryaev, and O. N. Mamchenkova, Fluid Phase Equilibria 127, 205 (1997).
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(1997)
Fluid Phase Equilibria
, vol.127
, pp. 205
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Abdulagatov, I.M.1
Levina, L.N.2
Zakaryaev, Z.R.3
Mamchenkova, O.N.4
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72
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85035302963
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E. M. Gaddy, Ph.D. thesis, The American University, Washington, D.C., 1978
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E. M. Gaddy, Ph.D. thesis, The American University, Washington, D.C., 1978;
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74
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85035288810
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We also examined the simulation data for (Formula presented) and (Formula presented) for various values of (Formula presented) The observed behavior is fairly complex; but it can be understood as arising from the finite-size rounding of singularities and discontinuities and from the linear dependence on density implied by Eq. (4.2) in the thermodynamic limit, when it reads, in an obvious notation, (Formula presented) In a sufficiently large and precise simulation, further significant information regarding the Y-Y anomaly may well be extractable from studying these functions. At the level achieved, however, further investigation did not seem promising
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We also examined the simulation data for (Formula presented) and (Formula presented) for various values of (Formula presented) The observed behavior is fairly complex; but it can be understood as arising from the finite-size rounding of singularities and discontinuities and from the linear dependence on density implied by Eq. (4.2) in the thermodynamic limit, when it reads, in an obvious notation, (Formula presented) In a sufficiently large and precise simulation, further significant information regarding the Y-Y anomaly may well be extractable from studying these functions. At the level achieved, however, further investigation did not seem promising.
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