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3
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85037245929
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e-print cond-mat/9705059
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e-print cond-mat/9705059.
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5
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0004099776
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World Scientific, Singapore, D. R. Nelson, T. Piran, S. Weinberg
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For a review, see the articles in Statistical Mechanics of Membranes and Interfaces, edited by D. R. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
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(1989)
Statistical Mechanics of Membranes and Interfaces
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12
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18344367769
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E. Guitter, F. David, S. Leibler, and L. Peliti, Phys. Rev. Lett. 61, 2949 (1988)
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(1988)
Phys. Rev. Lett.
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Guitter, E.1
David, F.2
Leibler, S.3
Peliti, L.4
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14
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0345027605
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Plenum, New York, B. Gaber
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A. Rudolph, J. Calvert, P. Schoen, and J. Schnur, in Biotechnological Applications of Lipid Microstructures, edited by B. Gaber (Plenum, New York, 1988);
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(1988)
Biotechnological Applications of Lipid Microstructures
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Rudolph, A.1
Calvert, J.2
Schoen, P.3
Schnur, J.4
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15
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85037202569
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R. Lipkin, Science 246, 44 (1989)
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(1989)
Science
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Lipkin, R.1
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16
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85037229896
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Actually, in most experimental realizations, the polymerization is random and leads to an isotropic disordered membrane, making the isotropic case quite general
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Actually, in most experimental realizations, the polymerization is random and leads to an isotropic disordered membrane, making the isotropic case quite general.
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17
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85037216938
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(private communication)
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E. Sachmann (private communication).
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Sachmann, E.1
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18
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85037214211
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(private communication)
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D. Bensimon (private communication).
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Bensimon, D.1
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23
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85037233109
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the case of polymers, Flory theory agrees with the exact predictions for the radius of gyration exponent [Formula Presented] in all dimensions [Formula Presented] where such exact predictions exist; in [Formula Presented], 2, and 1, Flory theory recovers the exact results of [Formula Presented], and 1, respectively. And in [Formula Presented] dimensions (where an exact result is not available) it agrees with the [Formula Presented] expansion to better than 1%
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In the case of polymers, Flory theory agrees with the exact predictions for the radius of gyration exponent ν in all dimensions d where such exact predictions exist; in d=4, 2, and 1, Flory theory recovers the exact results of ν=12, 34, and 1, respectively. And in d=3 dimensions (where an exact result is not available) it agrees with the ε expansion to better than 1.
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32
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85037183847
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The failure to find the crumpled phase in computer simulations for self-avoiding membranes might be because self-avoidance interaction shifts the bare [Formula Presented] to high values, such that in the almost universally employed numerical ball and spring models this always put the isotropic membrane on the flat side of the crumpling transition
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The failure to find the crumpled phase in computer simulations for self-avoiding membranes might be because self-avoidance interaction shifts the bare κ to high values, such that in the almost universally employed numerical ball and spring models this always put the isotropic membrane on the flat side of the crumpling transition.
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35
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85037195299
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This is analogous to the familiar [Formula Presented] expansion for critical phenomena, in which one expands about the number of spin components [Formula Presented] limit
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This is analogous to the familiar 1/n expansion for critical phenomena, in which one expands about the number of spin components n→∞ limit.
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40
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85104369179
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Academic, New York, C. Domb, M. S. Green
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A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6;
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(1976)
Phase Transitions and Critical Phenomena
, vol.6
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Aharony, A.1
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44
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4243377838
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SCSA is incredibly successful in that for the flat phase of polymerized membranes it predicts exponents that are exact in [Formula Presented] [Formula Presented] and correct to a leading order in [Formula Presented], thereby showing agreement with all known exact results.PRLTAO
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P. Le Doussal and L. Radzihovsky, Phys. Rev. Lett. 69, 1209 (1992). SCSA is incredibly successful in that for the flat phase of polymerized membranes it predicts exponents that are exact in d→∞, d=D and correct to a leading order in ε=4-D, thereby showing agreement with all known exact results
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(1992)
Phys. Rev. Lett.
, vol.69
, pp. 1209
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Le Doussal, P.1
Radzihovsky, L.2
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45
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21744457047
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M. Falcioni, M. Bowick, E. Guitter, and G. Thorleifsson, Europhys. Lett. 38, 67 (1997)
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(1997)
Europhys. Lett.
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Falcioni, M.1
Bowick, M.2
Guitter, E.3
Thorleifsson, G.4
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53
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85037225153
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doing this power counting, one must assume that the [Formula Presented] value of the integral in Eq. (5.13) is precisely canceled by the bare [Formula Presented] This assumption is the only way to solve Eq. (5.13) for [Formula Presented]
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In doing this power counting, one must assume that the q=0 value of the integral in Eq. (5.13) is precisely canceled by the bare gy. This assumption is the only way to solve Eq. (5.13) for D
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59
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0001292153
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J. Phys. (France) 31, 715 (1970);
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(1970)
J. Phys. (France)
, vol.31
, pp. 715
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60
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85037188649
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J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modelling and Structure (Oxford University Press, Oxford, 1989)
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J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modelling and Structure (Oxford University Press, Oxford, 1989).
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85037215434
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We thank Stephanie Palmer who generously donated her time to us (computer illiterates), to numerically evaluate integrals appearing in Eqs. (7.32) and (7.37)
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We thank Stephanie Palmer who generously donated her time to us (computer illiterates), to numerically evaluate integrals appearing in Eqs. (7.32) and (7.37).
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