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Volumn 57, Issue 2, 1998, Pages 1832-1863

Elasticity, shape fluctuations, and phase transitions in the new tubule phase of anisotropic tethered membranes

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EID: 33646986351     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1832     Document Type: Article
Times cited : (48)

References (67)
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    • e-print cond-mat/9705059
    • e-print cond-mat/9705059.
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    • World Scientific, Singapore, D. R. Nelson, T. Piran, S. Weinberg
    • 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).
    • (1989) Statistical Mechanics of Membranes and Interfaces
  • 15
  • 16
    • 85037229896 scopus 로고    scopus 로고
    • Actually, in most experimental realizations, the polymerization is random and leads to an isotropic disordered membrane, making the isotropic case quite general
    • Actually, in most experimental realizations, the polymerization is random and leads to an isotropic disordered membrane, making the isotropic case quite general.
  • 17
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    • (private communication)
    • E. Sachmann (private communication).
    • Sachmann, E.1
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    • (private communication)
    • D. Bensimon (private communication).
    • Bensimon, D.1
  • 23
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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%
    • 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.
  • 32
    • 85037183847 scopus 로고    scopus 로고
    • 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
    • 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.
  • 35
    • 85037195299 scopus 로고    scopus 로고
    • 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
    • This is analogous to the familiar 1/n expansion for critical phenomena, in which one expands about the number of spin components n→∞ limit.
  • 44
    • 4243377838 scopus 로고
    • 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
    • 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
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1209
    • Le Doussal, P.1    Radzihovsky, L.2
  • 53
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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]
    • 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
  • 59
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    • J. Phys. (France) 31, 715 (1970);
    • (1970) J. Phys. (France) , vol.31 , pp. 715
  • 60
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    • J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modelling and Structure (Oxford University Press, Oxford, 1989)
    • J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modelling and Structure (Oxford University Press, Oxford, 1989).
  • 61
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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)
    • 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).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.