 |
|
|
|
|
 |
|
|
Probabilistic Cellular Automaton for Random Walkers
|
|
|
|
|
|
| Organization: | Iwate University |
| Department: | Department of Electrical and Electronic Engineering |
| Organization: | University of Nebraska-Lincoln |
| Organization: | Japan Information Processing Service Co., Ltd. |
| Organization: | Kanazawa University |
| Department: | Department of Computational Science |
|
|
|
|
|
|
| Journal of the Physical Society of Japan |
|
|
|
|
|
|
A cellular-automaton of multiple random walkers is proposed to simulate d-dimensional many-body interacting lattice gas system. The fully parallel dynamics of the random walkers in d-dimensional hyper cubic lattice system is defined by introducing a simple probabilistic local rule set which prohibits the multiple occupancy of the walkers on a lattice site and keeps the conservation of the total number at any time. An equation which essentially governs the dynamics is derived by constructing a Boltzmann transport equation. An expression for the diffusion constant is obtained analytically and compared with the simulation results.
|
|
|
|
|
|
|
|
For the newest resources, visit Wolfram Repositories and Archives »
