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Magnetocaloric effect for a $Q$-clock type system by Aguilera, Michel; Pino-Alarcón, Sergio; Peña, Francisco J.; Vogel, Eugenio E.; Cortés, Natalia; Vargas, Patricio is a scholarly article available to read on EtoBox.

What is Magnetocaloric effect for a $Q$-clock type system about?

In this work, we study the magnetocaloric effect (MCE) in a working substance corresponding to a square lattice of spins with $Q$ possible orientations, known as the ``$Q$-state clock model". When the $Q$-state clock model has $Q\geq 5$ possible configurations, it presents the famous Berezinskii Kosterlitz Thouless (BKT) phase associated with vortices states. We calculate thermodynamic quantities using Monte Carlo simulations for even $Q$ numbers, ranging from $Q=2$ to $Q=8$ spin orientations per site in a lattice. We use lattices of different sizes with $L\times L = 8^{2}, 16^{2}, 32^{2}, 64^{2}, \text{and}\ 128^{2}$ sites, considering free boundary conditions and an external magnetic field varying between $B = 0$ and $B=1$ in natural units of the system. By obtaining the entropy, it is possible to quantify the MCE through an isothermal process in which the external magnetic field on the spin system is varied. In particular, we find the values of $Q$ that maximize the MCE depending on the lattice size and the magnetic phase transitions linked with the process. Given the broader relevance of the $Q$-state clock model in areas such as percolation theory, neural networks, and biologi

Author

Aguilera, Michel; Pino-Alarcón, Sergio; Peña, Francisco J.; Vogel, Eugenio E.; Cortés, Natalia; Vargas, Patricio

Published

2024

Language

EN