论文标题
过渡状态理论的随机马trix方法
Random-Matrix Approach to Transition-State Theory
论文作者
论文摘要
为了建模由屏障本质上隔离的复杂系统，我们使用了两个随机的哈密顿量，通过隧道矩阵元素或中间过渡态相互耦合。我们研究该模型以大型矩阵维度的通用极限。我们计算从偶联到第一个哈密顿量到第二次汉密尔顿偶联的散射通道的平均概率。仅利用以下假设：耦合到第二汉密尔顿的通道的传播系数之和我们以其一般形式检索过渡状态理论。为了通过非常厚的地层障碍独立性和隧道过程的衰变，更普遍地保持着隧道。
To model a complex system intrinsically separated by a barrier, we use two random Hamiltonians, coupled to each other either by a tunneling matrix element or by an intermediate transition state. We study that model in the universal limit of large matrix dimension. We calculate the average probability for transition from scattering channel coupled to the first Hamiltonian to a scattering channel coupled to the second Hamiltonian. Using only the assumption that the sum of transmission coefficients of channels coupled to the second Hamiltonian is large we retrieve transition-state theory in its general form. For tunneling through a very thick barrier independence of formation and decay of the tunneling process hold more generally.
