EXACT PAIR CORRELATION-FUNCTION OF A RANDOMLY BRANCHED POLYMER

被引：10

作者：

MILLER, JD

机构：

[1] University of California, Department of Physics, Santa Barbara, CA

来源：

EUROPHYSICS LETTERS | 1991年 / 16卷 / 07期

关键词：

D O I：

10.1209/0295-5075/16/7/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the supersymmetric formulation of the branched polymer problem to calculate the pair correlation function G(N)(r) of a randomly branched polymer in three dimensions: G(N)(r) = N exp [-r2/2R(N)2)]/(4-pi-R(N)2r). Here N is the number of monomers in the polymer and R(N) is the Polymer's radius of gyration. We also compare the Fourier transform of G(N)(r), the structure factor S(N)(q), with the results of a recent experiment, and speculate on why our result disagrees with it.

引用

收藏

页码：623 / 628

页数：6

相关论文

共 10 条

[1]

[Anonymous], Phy Rev

[2] NONPERTURBATIVE EFFECTS IN A SCALAR SUPERSYMMETRIC THEORY [J].

CARDY, JL .

PHYSICS LETTERS B, 1983, 125 (06) :470-472

[3] YANG-LEE EDGE SINGULARITY AND PHI-3 FIELD-THEORY [J].

FISHER, ME .

PHYSICAL REVIEW LETTERS, 1978, 40 (25) :1610-1613

[4] THE STRUCTURE-FUNCTION OF BRANCHED POLYMERS IN A GOOD SOLVENT - A LATTICE CALCULATION [J].

LAM, PM .

JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (05) :3136-3143

[5] STATISTICS OF LATTICE ANIMALS AND DILUTE BRANCHED POLYMERS [J].

LUBENSKY, TC ;

ISAACSON, J .

PHYSICAL REVIEW A, 1979, 20 (05) :2130-2146

[6] CRITICAL-BEHAVIOR OF BRANCHED POLYMERS AND THE LEE-YANG EDGE SINGULARITY [J].

PARISI, G ;

SOURLAS, N .

PHYSICAL REVIEW LETTERS, 1981, 46 (14) :871-874

[7] RANDOM MAGNETIC-FIELDS, SUPERSYMMETRY, AND NEGATIVE DIMENSIONS [J].

PARISI, G ;

SOURLAS, N .

PHYSICAL REVIEW LETTERS, 1979, 43 (11) :744-745

[8] EXPERIMENTAL STRUCTURE FACTOR OF SOLUTIONS OF RANDOMLY BRANCHED POLYMERS [J].

SCHOSSELER, F ;

DAOUD, M ;

LEIBLER, L .

JOURNAL DE PHYSIQUE, 1990, 51 (20) :2373-2385

[9] SUPERSYMMETRIC DIMER HAMILTONIAN FOR LATTICE BRANCHED POLYMERS [J].

SHAPIR, Y .

PHYSICAL REVIEW A, 1983, 28 (03) :1893-1895

[10]

Stauffer D., 1985, INTRO PERCOLATION TH, DOI DOI 10.1201/9781315274386