PreprintCC BY 4.0arXiv
Long-lived memory in sliding spin chains
Abstract
We study a system of two ferromagnetic one-dimensional Ising chains coupled to a thermal bath, which are driven out of equilibrium by being moved past one another at a constant speed. We show that even at modest speeds, magnetic friction between the two chains significantly increases the ability of the system to order. In particular, at inverse temperature β, Ising coupling J, and sliding speed v, the dynamics retains memory of its initial magnetization for a time that increases from exp(O(βJ)) at v = 0 to exp(O((b J)2v)) when v>vc, where vc is a small constant. Magnetic friction thus provides a simple mechanism for parametrically slowing down thermalization in a one-dimensional magnet.
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BibTeX
@misc{stahl2026longlived,
title = {{Long-lived memory in sliding spin chains}},
author = {Charles Stahl and Ethan Lake},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.14383},
eprint = {2607.14383},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14383},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Long-lived memory in sliding spin chains
AU - Charles Stahl
AU - Ethan Lake
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2607.14383
UR - https://arxiv.org/abs/2607.14383
AB - We study a system of two ferromagnetic one-dimensional Ising chains coupled to a thermal bath, which are driven out of equilibrium by being moved past one another at a constant speed. We show that even at modest speeds, magnetic friction between the two chains significantly increases the ability of the system to order. In particular, at inverse temperature β, Ising coupling J, and sliding speed v, the dynamics retains memory of its initial magnetization for a time that increases from exp(O(βJ)) at v = 0 to exp(O((b J)^2v)) when v>v_c, where v_c is a small constant. Magnetic friction thus provides a simple mechanism for parametrically slowing down thermalization in a one-dimensional magnet.
ER -