Abstract
Lattice size dependency of critical temperature of Ising nanofilms and nanotubes on the square lattice have been investigated Using Cellular Automata simulation approach. The obtained values of critical temperature for single-layer nanofilm on the infinite size of lattice is equal to 2.36, the corresponding value for single-layer nanofilm on the honeycomb lattice was 1.45. The effects of length and diameter of nanotube on the critical temperature were also studied.
Highlights
Multiple researches have been devoted to the investigation of magnetic nanomaterials, due to the potential applications of these materials in a variety areas such as magnetic recording media, chemical separation, medical diagnosis, and so on [1,2,3].Size dependency of phase diagrams and magnetic properties of magnetic nanoparticles have been investigated experimentally [4,5,6,7,8,9]
The result of the Cellular Automata (CA) method for critical temperature of two-dimensional nanofilm at infinite size of lattice ( Kc = 2.36 ) is in accordance with the result of accurate solution by the Onsager ( Kc = 2.27 ) [20], which implies the accuracy and reliability of the CA method. This subject, the effect of the size and shape on the critical temperature of the Ising nanofilm and nanotube on the square lattice, from the perspective in our work has not been studied, and these results are reported for the first time
For calculation of critical temperature, the described method in references [17,18] is used. In this method, which uses the graph of mean magnetization per site as a function of time for a given temperature, the temperature at which ly lx Citation: Javadi N (2019) Effect of Lattice Size on the Critical Temperature of Ising Nanofilms and Nanotubes on the Square Lattice: Cellular Automata Simulation
Summary
Multiple researches have been devoted to the investigation of magnetic nanomaterials, due to the potential applications of these materials in a variety areas such as magnetic recording media, chemical separation, medical diagnosis, and so on [1,2,3].Size dependency of phase diagrams and magnetic properties of magnetic nanoparticles have been investigated experimentally [4,5,6,7,8,9]. Critical temperature, Cellular automata, Magnetic nanofilms, Magnetic nanotubes, Square lattice
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