SELF-CONSISTENT THEORY OF POLYMERIZED MEMBRANES

被引:229
作者
LEDOUSSAL, P
RADZIHOVSKY, L
机构
[1] HARVARD UNIV,LYMAN LAB,CAMBRIDGE,MA 02138
[2] ECOLE NORM SUPER,LPTENS,F-75231 PARIS 05,FRANCE
关键词
D O I
10.1103/PhysRevLett.69.1209
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study D-dimensional polymerized membranes embedded in d dimensions using a self-consistent screening approximation. It is exact for large d to order l/d, for any d to order epsilon=4-D, and for d=D. For flat physical membranes (D=2, d=3) it predicts a roughness exponent zeta=0.590. For phantom membranes at the crumpling transition the size exponent is v-0.732. It yields identical lower critical dimension for the flat phase and crumpling transition D(lc)(d)=2d/(d + 1) (D(lc)=square-root 2 for codimension 1). For physical membranes with random quenched curvature zeta=0.775 in the new T=0 flat phase in good agreement with simulations.
引用
收藏
页码:1209 / 1212
页数:4
相关论文
共 26 条
  • [1] SHAPE FLUCTUATIONS OF POLYMERIZED OR SOLID-LIKE MEMBRANES - COMMENT
    ABRAHAM, FF
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (12) : 1669 - 1669
  • [2] FLUCTUATIONS IN THE FLAT AND COLLAPSED PHASES OF POLYMERIZED MEMBRANES
    ABRAHAM, FF
    NELSON, DR
    [J]. JOURNAL DE PHYSIQUE, 1990, 51 (23): : 2653 - 2672
  • [3] MOLECULAR-DYNAMICS OF TETHERED MEMBRANES
    ABRAHAM, FF
    RUDGE, WE
    PLISCHKE, M
    [J]. PHYSICAL REVIEW LETTERS, 1989, 62 (15) : 1757 - 1759
  • [4] FLUCTUATIONS AND LOWER CRITICAL DIMENSIONS OF CRYSTALLINE MEMBRANES
    ARONOVITZ, J
    GOLUBOVIC, L
    LUBENSKY, TC
    [J]. JOURNAL DE PHYSIQUE, 1989, 50 (06): : 609 - 631
  • [5] FLUCTUATIONS OF SOLID MEMBRANES
    ARONOVITZ, JA
    LUBENSKY, TC
    [J]. PHYSICAL REVIEW LETTERS, 1988, 60 (25) : 2634 - 2637
  • [6] SELF-CONSISTENT SCREENING CALCULATION OF CRITICAL EXPONENT ETA
    BRAY, AJ
    [J]. PHYSICAL REVIEW LETTERS, 1974, 32 (25) : 1413 - 1416
  • [7] CRUMPLING TRANSITION IN ELASTIC MEMBRANES - RENORMALIZATION-GROUP TREATMENT
    DAVID, F
    GUITTER, E
    [J]. EUROPHYSICS LETTERS, 1988, 5 (08): : 709 - 713
  • [8] GOMPPER G, 1992, J PHYS I, V2, P663, DOI 10.1051/jp1:1992171
  • [9] GREST GS, 1991, J PHYS I, V1, P1695, DOI 10.1051/jp1:1991237
  • [10] THERMODYNAMICAL BEHAVIOR OF POLYMERIZED MEMBRANES
    GUITTER, E
    DAVID, F
    LEIBLER, S
    PELITI, L
    [J]. JOURNAL DE PHYSIQUE, 1989, 50 (14): : 1787 - 1819