涨落多尺度质量Action定律
Fluctuating Multiscale Mass Action Law
摘要:
将化学动力学中的经典质量作用定律置于多尺度热力学的背景下,尽管经典质量作用定律具有纯粹的耗散性质,但惯性效应在化学动力学中也起作用。因此,动力学扩展到一个扩大的状态空间,反应速率作为新的状态变量,并带来惯性效应。动态,然后提升到刘维尔描述内动力学理论的扩大状态空间,以包括波动。随后,动力学理论减少到其第一和第二时刻,导致一个新的梯度状层次结构的化学动力学,表示多尺度性质的化学动力学与惯性。扩展的状态空间内的耗散的建议,它是导致经典的质量作用法时,时刻放松到各自的准平衡。特别是,我们证明了振荡均匀的化学反应的可能性,以及如何波动的相关性对应的化学动力学。
英文摘要:
The classical mass action law in chemical kinetics is put into the context of multiscale thermodynamics.Despite the purely dissipative character of the classical mass action law, inertial effects also play a role in chemical kinetics. Therefore, the kinetics is extended to an enlarged state space with reaction rates as new state variables and bringing inertial effects. The dynamics is then lifted to the Liouville description within kinetic theory on the enlarged state space in order to include fluctuations. Subsequently, the kinetic theory is reduced to its first and second moments, leading to a new Grad-like hierarchy in chemical kinetics, expressing the multiscale nature of the chemical kinetic with inertia. Dissipation within the extended state space is proposed and it is shown to lead to the classical mass action law when the moments relax to their respective quasi-equilibria. In particular, we demonstrate the possibility of oscillating homogeneous chemical reactions and how the correlations of fluctuations correspond with the chemical kinetics.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。