Temperature in magnetic systems: Evolution towards thermal equilibrium by spin dynamics simulation

Gonzalo Gutiérrez, Sergio Davis and Carlos Esparza

Physica A: Statistical Mechanics and its Applications, 2022, vol. 591, issue C

Abstract: The concept of temperature in magnetic systems is examined by studying how two spin systems in thermal contact reach equilibrium. Using the spin dynamics simulation method, we consider two planar arrays of classical spins governed by the Heisenberg Hamiltonian, interacting with each other through an edge. According to an expression for the temperature of the system based solely on spin configurational degrees of freedom, we are able to obtain the temperature evolution with respect to time. The spin temperature follows an exponential behavior, and can be modeled by the Newton cooling law, reaching a common final temperature which is in complete agreement with the theoretical thermodynamic prediction. The simulation results give new insight on the meaning of temperature for magnetic systems and provide an operational method to calculate it in computer simulation.

Keywords: Spin system; Thermal equilibrium; Configurational temperature (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437121009377
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:591:y:2022:i:c:s0378437121009377

DOI: 10.1016/j.physa.2021.126729

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().