Abstract
We analyze the annihilation of equally charged particles based on the Brownian motion model built by Dyson for particles with charge interacting via the log-Coulomb potential on the unitary circle at a reduced inverse temperature , defined as . We derive an analytical approach to describe the large- asymptotic behavior for the number density decay, which can be described as a power law, . For a sufficiently large , the power-law exponent behaves as , which was corroborated through several computational simulations. For small , in the diffusive regime, we recover the exponent of 1/2 as predicted by single-species uncharged annihilation.
- Received 21 September 2019
DOI:https://doi.org/10.1103/PhysRevE.101.012112
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