Nonequilibrium thermodynamics for fluctuations of biopolymers

为了建立描述生物高分子作用机理的数学模型，我们对非平衡稳态进行了解析研究。我们得到一个简明的概率分布函数的表达式，正确的程度的非平衡的第二顺序。从这个表达式，我们得到一个自然扩展的克劳修斯关系到非平衡态。我们接着把这个关系推广到非平衡度的二阶，发现我们应该包括一个扭曲项，它特别出现在非线性非平衡中。从另一个角度研究蛋白质的动力学，我们研究了蛋白质模型中的慢涨落，并用四点相关函数来刻画它们。

Aiming at the construction of the formulation to describe the working mechanism of biopolymers, we study nonequilibrium steady states analytically. We obtain a concise expression for the probability distribution function correct up to the second order of the degree of nonequilibrium. From this expression, we arrive at a naturally extended Clausius relation to nonequilibrium. We next extend the relation to the second order of the degree of nonequilibrium and find that we should include a twist term, which especially appears in nonlinear nonequilibrium. From a different point of view to examine proteins' dynamics, we study slow fluctuations in a protein model and characterize them by a four-point correlation-functions.