TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.3.091
TI  - Acceleration from a clustering environment
PY  - 2024/09/25
UR  - https://scipost.org/SciPostPhys.17.3.091
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 3
SP  - 091
A1  - Holtzman, Roi
AU  - Maes, Christian
AB  - We study the effects of correlations in a random environment on a random walker. The dependence of its asymptotic speed on the correlations is a nonperturbative effect as it is not captured by a homogeneous version of the same environment. For a slowly cooling environment, the buildup of correlations modifies the walker's speed and, by so, realizes acceleration. We remark on the possible relevance in the discussion of cosmic acceleration as traditionally started from the Friedmann equations, which, from a statistical mechanical point of view, would amount to a mean-field approximation. Our environment is much simpler though, with transition rates sampled from the one-dimensional Ising model and allowing exact results and detailed velocity characteristics.
ER  -

@Article{10.21468/SciPostPhys.17.3.091,
	title={{Acceleration from a clustering environment}},
	author={Roi Holtzman and Christian Maes},
	journal={SciPost Phys.},
	volume={17},
	pages={091},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.3.091},
	url={https://scipost.org/10.21468/SciPostPhys.17.3.091},
}