Stiff-Chain Statistics in Relation to the Brownian Process

Abstract

Tagami’s semiflexible chain model with local contour fluctuations is reexamined on the basis of its analogy to the Brownian process, and her model is refined in two directions; one is to strengthen the restriction on statistical averages of {r′(s)}² to be unity by introducing a non-Gaussian character to the random force in the Langevin equation, and the other is to obtain three characteristic lengths instead of one persistence length by introducing anisotropy to the mobility and the random force. It is demonstrated that the Kratky-Porod wormlike chain can be extended to Miyake-Hoshino’s twisted stiff chain by the introduction of anisotropy to the random rotational vector in the stochastic equation.