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Nonequilibrium phase transition in the kinetic Ising model: Divergences of fluctuations and responses near the transition point

Muktish Acharyya

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Abstract

The nonequilibrium dynamic phase transition in the kinetic Ising model in the presence of an oscillating magnetic field is studied by Monte Carlo simulation. The fluctuation of the dynamic order parameter is studied as a function of temperature near the dynamic transition point. The temperature variation of appropriately defined ``susceptibility'' is also studied near the dynamic transition point. Similarly, the fluctuation of energy and appropriately defined ``specific heat'' is studied as a function of temperature near the dynamic transition point. In both cases, the fluctuations (of dynamic order parameter and energy) and the corresponding responses diverge (in power law fashion) near the dynamic transition point with similar critical behavior (with identical exponent values).

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What this paper is about

The nonequilibrium dynamic phase transition in the kinetic Ising model in the presence of an oscillating magnetic field is studied by Monte Carlo simulation. The fluctuation of the dynamic order parameter is studied as a function of temperature near the dynamic transition point. The temperature variation of appropriately defined ``susceptibility'' is also studied near the dynamic transition point. Similarly, the fluctuation of energy and appropriately defined ``specific heat'' is studied as a function of temperature near the dynamic transition point. In both cases, the fluctuations (of dynamic order parameter and energy) and the corresponding responses diverge (in power law fashion) near the dynamic transition point with similar critical behavior (with identical exponent values).

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Available abstract

The nonequilibrium dynamic phase transition in the kinetic Ising model in the presence of an oscillating magnetic field is studied by Monte Carlo simulation. The fluctuation of the dynamic order parameter is studied as a function of temperature near the dynamic transition point. The temperature variation of appropriately defined ``susceptibility'' is also studied near the dynamic transition point. Similarly, the fluctuation of energy and appropriately defined ``specific heat'' is studied as a function of temperature near the dynamic transition point. In both cases, the fluctuations (of dynamic order parameter and energy) and the corresponding responses diverge (in power law fashion) near the dynamic transition point with similar critical behavior (with identical exponent values).

Key concepts: Phase transition, Critical point (mathematics), Transition point, Ising model, Non-equilibrium thermodynamics, Statistical physics, Physics, Critical exponent

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