Galstyan Vahe, Saakian David B
Quantum College, Bagratunyats 23/2, Yerevan 0046, Armenia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 1):011125. doi: 10.1103/PhysRevE.86.011125. Epub 2012 Jul 23.
We investigate the multichain version of the chemical master equation, when there are transitions between different states inside the long chains, as well as transitions between (a few) different chains. In the discrete version, such a model can describe the connected diffusion processes with jumps between different types. We apply the Hamilton-Jacobi equation to solve some aspects of the model. We derive exact (in the limit of infinite number of particles) results for the dynamic of the maximum of the distribution and the variance of distribution.
我们研究化学主方程的多链版本，此时长链内部不同状态之间存在跃迁，以及（少数）不同链之间也存在跃迁。在离散版本中，这样的模型可以描述不同类型之间存在跳跃的连通扩散过程。我们应用哈密顿 - 雅可比方程来求解该模型的某些方面。我们推导出了（在粒子数无穷的极限情况下）分布最大值的动态变化以及分布方差的精确结果。
