A class of solvable reaction-diffusion processes on a Cayley tree

作者：Alimohammadi M^*; Olanj N

来源：Physica A: Statistical Mechanics and Its Applications , 2010, 389(8): 1549-1554.

DOI：10.1016/j.physa.2009.12.045

• Reaction-diffusion processes
• Cayley tree
• Integrable models

Considering the most general one-species reaction-diffusion processes on a Cayley tree, it has been shown that there exist two integrable models. In the first model, the reactions are the various creation processes. i e circle circle -> center dot circle, circle circle -> center dot center dot and circle center dot -> center dot center dot, and in the second model, only the diffusion process center dot circle -> circle center dot exists For the first model, the probabilities P-1(m, t), of finding in particles on the 1th shell of the Cayley tree, have been found exactly, and for the second model, the functions P-1(1, t) have been calculated It has been shown that these are the only integrable models if one restricts consideration to the L + 1-shell probabilities P(m(0), m(1),...

• 出版日期2010-4-15