Quantum effective potential, electron transport and conformons in biopolymers

被引:9
作者
Dandoloff, R [1 ]
Balakrishnan, R
机构
[1] Univ Cergy Pontoise, Lab Phys Theor & Modelisat, F-95302 Cergy Pontoise, France
[2] Inst Math Sci, Madras 600113, Tamil Nadu, India
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 27期
关键词
D O I
10.1088/0305-4470/38/27/002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the Kirchhoff model of a biopolymer, conformation dynamics can be described in terms of solitary waves, for certain special cross-section asymmetries. Applying this to the problem of electron transport, we show that the quantum effective potential arising due to the bends and twists of the polymer enables us to formalize and quantify the concept of a conformon that has been hypothesized in biology. Its connection to the soliton solution of the cubic nonlinear Schrodinger equation emerges in a natural fashion.
引用
收藏
页码:6121 / 6127
页数:7
相关论文
共 23 条
  • [1] Elasticity model of a supercoiled DNA molecule
    Bouchiat, C
    Mezard, M
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (07) : 1556 - 1559
  • [2] More on effective potentials of quantum strip waveguides (vol 31, pg 2103, 1998)
    Clark, IJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (08): : 2103 - 2107
  • [3] ON THE DYNAMICS OF RODS IN THE THEORY OF KIRCHHOFF AND CLEBSCH
    COLEMAN, BD
    DILL, EH
    LEMBO, M
    LU, Z
    TOBIAS, I
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 121 (04) : 339 - 359
  • [4] QUANTUM-MECHANICS OF A CONSTRAINED PARTICLE
    DACOSTA, RCT
    [J]. PHYSICAL REVIEW A, 1981, 23 (04): : 1982 - 1987
  • [5] THEORY OF CONTRACTION OF PROTEINS UNDER THEIR EXCITATION
    DAVYDOV, AS
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1973, 38 (03) : 559 - 569
  • [6] Conformations of linear DNA
    Fain, B
    Rudnick, J
    Ostlund, S
    [J]. PHYSICAL REVIEW E, 1997, 55 (06): : 7364 - 7368
  • [7] NONLINEAR DYNAMICS OF STIFF POLYMERS
    GOLDSTEIN, RE
    LANGER, SA
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (06) : 1094 - 1097
  • [8] BOUND-STATES IN TWISTING TUBES
    GOLDSTONE, J
    JAFFE, RL
    [J]. PHYSICAL REVIEW B, 1992, 45 (24): : 14100 - 14107
  • [9] Goriely A, 2000, REGUL CHAOTIC DYN, V5, P95, DOI [10.1070/rd2000v005n01ABEH000126, 10.1070/RD2000v005n01ABEH000126]
  • [10] Dynamics of helical strips
    Goriely, A
    Shipman, P
    [J]. PHYSICAL REVIEW E, 2000, 61 (04): : 4508 - 4517