English

A model of magnetic friction with the infinite-range interaction

Statistical Mechanics 2021-01-04 v2

Abstract

We investigate a model of magnetic friction with the infinite-range interaction by mean field analysis and a numerical simulation, and compare its behavior with that of the short-range model that we considered previously [H.~Komatsu, Phys.\ Rev.\ E.\ \textbf{100}, 052130 (2019)]. This infinite-range model always obeys the Stokes law when the temperature is higher than the critical value, TcT_c, whereas it shows a crossover or transition from the Dieterich--Ruina law to the Stokes law when the temperature is lower than TcT_c. Considering that the short-range model in our previous study shows a crossover or transition irrespective of whether the temperature is above or below the equilibrium transition temperature, the behavior in the high-temperature state is the major difference between these two models.

Keywords

Cite

@article{arxiv.2006.07617,
  title  = {A model of magnetic friction with the infinite-range interaction},
  author = {Hisato Komatsu},
  journal= {arXiv preprint arXiv:2006.07617},
  year   = {2021}
}

Comments

10 pages, 7 figures; accepted for publication in Phys. Rev. E