Molecular Dynamics Study of Oscillators Spin Chain in Framework of Variable Interaction Range Model

M. Atia, C. Enachescub, R. Bouamranec aFaculty of Medicine, Université Oran 1 Ahmed Ben Bella, Oran, Algeria bFaculty of Physics, Alexandru Ioan Cuza University, Iasi, Romania cLEPM, Faculty of Physics, Université des Sciences et de la Technologie d'Oran Mohamed-Boudiaf USTO-MB, BP 1505, EL M'naouer, Oran, Algeria

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We numerically study the thermodynamic critical behaviour of the one-dimensional ferromagnetic spin model with variable interaction ranges using molecular dynamics simulation. Our results suggest that the model presents an order to a disorder phase transition, if the range length parameter surpasses the threshold ξc=1.4. As expected, the order parameter of the magnetization M respects the Hamiltonian mean field transition, which occurs at ξ=2. We show that the evolution of the system temperature is independent of the number of neighbours spins L considered in the system.

DOI:10.12693/APhysPolA.141.191 topics: transition phase, molecular dynamics, interaction range, neighbours spins