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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Dynamics, thermodynamics, and phase transitions of classical spins interacting through the magnetic field
Debarshee Bagchi1, Renato Pakter1, Yan Levin1
1Instituto de Física, UFRGS, Caixa Postal 15051, CEP 91501-970 Porto Alegre, Rio Grande do Sul, Brazil.
Abstract:
We introduce and study a one dimensional model of classical planar spins interacting self-consistently through magnetic field. The spins and the magnetic field evolve in time according to the Hamiltonian dynamics which mimics that of a free electron laser. We show that by rescaling the energy due to magnetic field inhomogeneity, in equilibrium, this system can be mapped onto a model very similar to the paradigmatic globally coupled Hamiltonian mean-field (HMF) model. The system exhibits a continuous equilibrium phase transition from paramagnetic to ferromagnetic phase, however unlike HMF, we do not see any magnetized quasistationary states.
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