Temperature distribution inside Ising system confined by fixed boundary temperatures

Zeshun Chen, Da Li and Changming Xiao

Physica A: Statistical Mechanics and its Applications, 2020, vol. 543, issue C

Abstract: In this paper, a two dimensional Ising model system in which the two boundaries of it are confined by two fixed boundary temperatures has been taken into consideration, obviously, the temperature inside the system is self-adjusting. To investigate the temperature evolutionary process of this Ising model system, the energy-exchange has been introduced in the Monte Carlo steps, and then the temperature variation of a local region is determined by the energy-exchange. Making use of above modified Monte Carlo method, a final steady temperature distribution of the system has been determined, and the obtained results suggest that this temperature distribution is nonlinear: from the constant temperature of the boundary to the critical temperature, the temperature variation is almost linear; however, lots of the local temperatures near the critical value remain almost unchanged and a temperature platform is obtained. Furthermore, the length of the temperature platform is much larger than that of the linear variation part. Meanwhile all the physical quantities and their fluctuations were also obtained by the Monte Carlo simulations, and the results show that, near the critical temperature, the fluctuations of magnetization are much larger than that of the energy, specific heat and magnetic susceptibility.

Keywords: Temperature distribution; Local region; Nonequilibrium steady state; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:543:y:2020:i:c:s0378437119319648

DOI: 10.1016/j.physa.2019.123522

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