MONTE CARLO STUDY OF SOME ORIENTATIONAL TRANSITIONS IN 2D
In the numerical study of nematic-isotropic transition of liquid crystals, one usually considers lattice models with n-component spins interacting within nearest neighbours through Lengendre polynomials. In 2D,it is interesting to compare the phase transitions exhibited by such models with the special cases of XY and Heisenberg models. We present the results of Monte Carlo simulations analysed using Finite-Size scaling or conformal mapping. The results are not fully conclusive, but seem to confirm the possible occurrence of a first-order transition for a P4 interaction.
THE QUANTUM HALL EFFECT: AN EXPERIMENTAL REALIZATION OF THE INSTANTON VACUUM
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