Persistent random walk
Modification of the random walk model
The persistent random walk is a modification of the random walk model.
A population of particles are distributed on a line, with constant speed , and each particle's velocity may be reversed at any moment. The reversal time is exponentially distributed as , then the population density evolves according to[1]which is the telegrapher's equation.
References
- ^ Weiss, George H (2002-08-15). "Some applications of persistent random walks and the telegrapher's equation". Physica A: Statistical Mechanics and its Applications. 311 (3): 381–410. doi:10.1016/S0378-4371(02)00805-1. ISSN 0378-4371.