In:
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, Vol. 54, No. 48 ( 2021-12-03), p. 485001-
Abstract:
We investigate, both analytically and with numerical simulations, a Monte Carlo dynamics at zero temperature, where a random walker evolving in continuous space and discrete time seeks to minimize its potential energy, by decreasing this quantity at each jump. The resulting dynamics is universal in the sense that it does not depend on the underlying potential energy landscape, as long as it admits a unique minimum; furthermore, the long time regime does not depend on the details of the jump distribution, but only on its behavior for small jumps. We work out the scaling properties of this dynamics, as embodied by the walker probability density. Our analytical predictions are in excellent agreement with direct Monte Carlo simulations.
Type of Medium:
Online Resource
ISSN:
1751-8113
,
1751-8121
DOI:
10.1088/1751-8121/ac2dc2
Language:
Unknown
Publisher:
IOP Publishing
Publication Date:
2021
detail.hit.zdb_id:
1363010-6
detail.hit.zdb_id:
209217-7
detail.hit.zdb_id:
3115688-5
SSG:
11
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