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3
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0003625785
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J.P. Hansen, D. Levesque, J. Zinn-Justin, North Holland, Amsterdam
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D. Frenkel, in Liquids, Freezing, and the Glass Transition, edited by J.P. Hansen, D. Levesque, and J. Zinn-Justin (North Holland, Amsterdam, 1991).
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Liquids, Freezing, and the Glass Transition
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Frenkel, D.1
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5
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0000814740
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A.Y. Grosberg, P.G. Khalatur, and A.R. Khokhlov, Makromol. Chem., Rapid Commun. 3, 709 (1982).
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Makromol. Chem., Rapid Commun.
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Grosberg, A.Y.1
Khalatur, P.G.2
Khokhlov, A.R.3
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8
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0034683316
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A.A. Louis, P.G. Bolhuis, J.P. Hansen, and E.J. Meijer, Phys. Rev. Lett. 85, 2522 (2000).
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(2000)
Phys. Rev. Lett.
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Louis, A.A.1
Bolhuis, P.G.2
Hansen, J.P.3
Meijer, E.J.4
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10
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0033717788
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A. Lang, C.N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter 12, 5087 (2000)
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(2000)
J. Phys.: Condens. Matter
, vol.12
, pp. 5087
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Lang, A.1
Likos, C.N.2
Watzlawek, M.3
Löwen, H.4
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12
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85037247870
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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
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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.
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15
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85037237208
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We prefer to use the term RPA instead of MSA, since the latter usually implies a hard core 13
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We prefer to use the term RPA instead of MSA, since the latter usually implies a hard core 13.
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16
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0001466936
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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
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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.
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(1959)
Prog. Theor. Phys.
, vol.22
, pp. 213
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Abe, R.1
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17
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85037196497
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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
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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.
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21
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36749110547
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S.L. Carnie, D.Y.C. Chan, D.J. Mitchell, and B.W. Ninham, J. Chem. Phys. 74, 1472 (1981).
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J. Chem. Phys.
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Carnie, S.L.1
Chan, D.Y.C.2
Mitchell, D.J.3
Ninham, B.W.4
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23
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85037247224
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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
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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.
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24
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0001744443
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where the low-density interaction between star polymers was used to map out the phase behavior of star-polymer solutions at finite densities
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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.
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(1999)
Phys. Rev. Lett.
, vol.82
, pp. 5289
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Watzlawek, M.1
Likos, C.N.2
Löwen, H.3
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