Thermodynamics of Small Magnetic Particles
AbstractIn the present paper, we discuss the interpretation of some of the results of the thermodynamics in the case of very small systems. Most of the usual statistical physics is done for systems with a huge number of elements in what is called the thermodynamic limit, but not all of the approximations done for those conditions can be extended to all properties in the case of objects with less than a thousand elements. The starting point is the Ising model in two dimensions (2D) where an analytic solution exits, which allows validating the numerical techniques used in the present article. From there on, we introduce several variations bearing in mind the small systems such as the nanoscopic or even subnanoscopic particles, which are nowadays produced for several applications. Magnetization is the main property investigated aimed for two singular possible devices. The size of the systems (number of magnetic sites) is decreased so as to appreciate the departure from the results valid in the thermodynamic limit; periodic boundary conditions are eliminated to approach the reality of small particles; 1D, 2D and 3D systems are examined to appreciate the differences established by dimensionality is this small world; upon diluting the lattices, the effect of coordination number (bonding) is also explored; since the 2D Ising model is equivalent to the clock model with
A printed edition of this Special Issue is available here.
Share & Cite This Article
Vogel, E.E.; Vargas, P.; Saravia, G.; Valdes, J.; Ramirez-Pastor, A.J.; Centres, P.M. Thermodynamics of Small Magnetic Particles. Entropy 2017, 19, 499.
Vogel EE, Vargas P, Saravia G, Valdes J, Ramirez-Pastor AJ, Centres PM. Thermodynamics of Small Magnetic Particles. Entropy. 2017; 19(9):499.Chicago/Turabian Style
Vogel, Eugenio E.; Vargas, Patricio; Saravia, Gonzalo; Valdes, Julio; Ramirez-Pastor, Antonio J.; Centres, Paulo M. 2017. "Thermodynamics of Small Magnetic Particles." Entropy 19, no. 9: 499.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.