62 citations · 210 across the 11 of their papers we have counts for
5 papers · 1 filter
Exactly solvable models through the generalized empty interval method, for multi-species interactions
Amir Aghamohammadi, Masoud Alimohammadi, Mohammad Khorrami
Multi-species reaction-diffusion systems, with nearest-neighbor interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rat…
Exactly solvable models through the empty interval method
M. Alimohammadi, M. Khorrami, A. Aghamohammadi
The most general one dimensional reaction-diffusion model with nearest-neighbor interactions, which is exactly-solvable through the empty interval method, has been introduced. Assu…
A new class of integrable diffusion-reaction processes
M. Alimohammadi, N. Ahmadi
We consider a process in which there are two types of particles, A and B, on an infinite one-dimensional lattice. The particles hop to their adjacent sites, like the totally asymme…
A two--parametric family of asymmetric exclusion processes and its exact solution
M. Alimohammadi, V. Karimipour, M. Khorrami
A two--parameter family of asymmetric exclusion processes for particles on a one-dimensional lattice is defined. The two parameters of the model control the driving force and an ef…
Exact solution of a one-parameter family of asymmetric exclusion processes
M. Alimohammadi, V. Karimipour, M. Khorrami
We define a family of asymmetric processes for particles on a one-dimensional lattice, depending on a continuous parameter , interpolating between the completely asymm…