过渡态理论对幂律分布非平衡系统的推广
Transition state theory: a generalization to nonequilibrium systems with power-law distributions
摘要：
将过渡态理论推广到幂律分布的非平衡体系。由Langevin方程和相应的Fokker-Planck方程模拟了反应坐标和动量的幂律分布的随机动力学。假设远离平衡态的系统不松弛到Boltzmann-Gibbs分布的热平衡态，而是渐近地接近幂律分布的非平衡定态。因此，我们得到一个推广的TST率的非平衡系统的幂律分布。此外，我们还得到了一维和n维Hamilton系统远离平衡态的广义TST速率常数，并得到了幂律分布系统的广义Arrhenius速率。
英文摘要：
Transition state theory (TST) is generalized for the nonequilibrium system with power-law distributions. The stochastic dynamics that gives rise to the power-law distributions for the reaction coordinate and momentum is modeled by the Langevin equations and corresponding Fokker-Planck equations. It is assumed that the system far away from equilibrium has not to relax to a thermal equilibrium state with Boltzmann-Gibbs distribution, but asymptotically approaches to a nonequilibrium stationary-state with power-law distributions. Thus, we obtain a generalization of TST rates to nonequilibrium systems with power-law distributions. Furthermore, we derive the generalized TST rate constants for one-dimension and n-dimension Hamiltonian systems away from equilibrium, and receive a generalized Arrhenius rate for the system with power-law distributions.
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