Cyclization of a polymer: First-passage problem for a non-Markovian process

被引：86

作者：

Sokolov, IM ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 90卷 / 08期

关键词：

GENERALIZED GAUSSIAN STRUCTURES; DEPENDENT SURVIVAL PROBABILITY; DIFFUSION-CONTROLLED REACTIONS; ELECTRONIC-ENERGY TRANSFER; FLEXIBLE POLYMER; CHAIN; SYSTEMS; ENDS;

D O I：

10.1103/PhysRevLett.90.080601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a closure of a polymer chain released from a state with given end-to-end distance. Considering the situation as a first passage problem for a non-Markovian process, we express the survival probability through the three-time distribution of the end-to-end distance and evaluate it numerically by solving a Volterra equation. We also show how the Wilemski-Fixmann approximation emerges within this scheme and discuss its geometrical nature.

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页数：4

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共 20 条

[1] Diffusion influenced end-to-end reaction of a flexible polymer chain: The memory effect [J].

Bandyopadhyay, T ;

Ghosh, SK .

JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (10) :4366-4369

[2] Electronic energy transfer in polymers labeled at both ends with fluorescent groups [J].

Bodunov, EN ;

Berberan-Santos, MN ;

Martinho, JMG .

JOURNAL OF LUMINESCENCE, 2002, 96 (2-4) :269-278

[3] Electronic energy transfer in linear polymers randomly labelled with chromophores [J].

Bodunov, EN ;

Berberan-Santos, MN ;

Martinho, JMG .

CHEMICAL PHYSICS, 2001, 274 (2-3) :243-253

[4] DIRECT ENERGY-TRANSFER IN POLYMER SYSTEMS [J].

BURLATSKY, SF ;

OSHANIN, GS ;

MOGUTOV, AV .

PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3205-3208

[5] KINETICS OF DIFFUSION-CONTROLLED PROCESSES IN DENSE POLYMER SYSTEMS .1. NON-ENTANGLED REGIMES [J].

DEGENNES, PG .

JOURNAL OF CHEMICAL PHYSICS, 1982, 76 (06) :3316-3321

[6]

DOI M, 1975, CHEM PHYS, V9, P455, DOI 10.1016/0301-0104(75)80083-8

[7]

DOI M, 1997, THEORY POLYM DYNAMIC

[8] DIRECT ENERGY-TRANSFER IN SOLUTIONS OF IDEAL POLYMER-CHAINS [J].

OSHANIN, G ;

BLUMEN, A ;

MOREAU, M ;

BURIATSKY, SF .

JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (22) :9864-9875

[9] Excitation trapping in dynamically disordered polymers [J].

Palszegi, T ;

Sokolov, IM ;

Kauffmann, HF .

MACROMOLECULES, 1998, 31 (08) :2521-2526

[10] Diffusion limited first contact of the ends of a polymer: Comparison of theory with simulation [J].

Pastor, RW ;

Zwanzig, R ;

Szabo, A .

JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (09) :3878-3882