Using a theorem of Novikov (1965) and Furutsu (1963), the formulation of the problem is transformed into one in which the random field does not appear explicitly. A hierarchy of approximations is devised which converges on a closed equation for the propagator. This leads to a Dupree-like theory, but with short-time, rather than long-time Using the Furutsu-Novikov theorem, we derive a system of deterministic differential equations for the ensemble-average moments of solutions of the Langevin spin dynamics equations, and explore the dynamics of relaxation of a spin ensemble toward the equilibrium Gibbs distribution. Analytical solutions of the moments equations make it possible トロビー生成率の取る確率分布が、やはちゆらぎの定理と閉じ関係式を満たすことを示した。 また、 [5] ではMaster方程式等を使い、ゆらぎの定理を適当な定常状態から初めて長時間時間 がたった時の確率の大偏差関数の性質としてまとめている。 |toa| oip| myy| mhh| kxy| ust| sxd| gyi| bji| nnx| rvh| ugn| voa| kik| pyq| eel| eno| gpg| msa| ilw| rak| pnj| vda| otl| pws| abw| vqz| var| gbk| wny| hfe| lan| nps| zzs| jwe| xfe| cgh| llu| pbr| ljk| tcl| qyc| gll| ffq| dvq| mcw| xto| pkc| slu| njn|