多粒子系统泛函导数的演化方程
Evolution Equations in Functional Derivatives of Many-Particle Systems
摘要：
将经典多粒子系统的演化方程族表示为泛函导数形式的演化方程。特别是BBGKY层次的边缘分布函数，双BBGKY层次的边缘观测，刘维层次的关联函数和非线性BBGKY层次的边缘关联函数被认为是。这些族的柯西问题的非微扰解展开的基础上建立相应的功能之间的生成泛函的关系。所得结果推广到通过多体势相互作用的粒子系统。
英文摘要：
The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal distribution functions, the dual BBGKY hierarchy for marginal observables, the Liouville hierarchy for correlation functions and the nonlinear BBGKY hierarchy for the marginal correlation functions are considered. The nonperturbative solution expansions of the Cauchy problem of these hierarchies are constructed on the basis of established relations between the generating functionals of corresponding functions. The obtained results are generalized on systems of particles interacting via many-body potentials.
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