Phase transition in a stochastic prime number generator
Computational Physics
2009-11-13 v1
Abstract
We introduce a stochastic algorithm that acts as a prime number generator. The dynamics of such algorithm gives rise to a continuous phase transition which separates a phase where the algorithm is able to reduce a whole set of integers into primes and a phase where the system reaches a frozen state with low prime density. We present both numerical simulations and an analytical approach in terms of an annealed approximation, by means of which the data are collapsed. A critical slowing down phenomenon is also outlined.
Cite
@article{arxiv.0707.1990,
title = {Phase transition in a stochastic prime number generator},
author = {Bartolo Luque and Lucas Lacasa and Octavio Miramontes},
journal= {arXiv preprint arXiv:0707.1990},
year = {2009}
}
Comments
accepted in PRE (Rapid Comm.)