[3–5] used the random-ﬁeld Ising model [6] along with the Glauber dynamics [7] at zero temperature to study hysteresis in ferromagnets with quenched disorder. THE ISING MODEL course project in Simulation of Physical Processes Tallinn 2008. The hysteresis of the Ising model in a spatially homogeneous ac ﬁeld is studied using both mean-ﬁeld calculations and two-dimensional Monte Carlo simulations. Recently, a simple model was introduced [1] for hysteresis in magnets, which incorporates interesting effects such as the return-point memory and Barkhausen noise [2]. This is the hysteresis. The frequency dispersion and the temperature dependence of the hysteresis loop area are studied in relation to the dynamic symmetry loss. After giving the phase diagrams, we focused on the different type of hysteresis behaviors in the system. Abstract: The hysteresis of the Ising model in a spatially homogeneous AC field is studied using both mean-field calculations and two-dimensional Monte Carlo simulations. The frequency dispersion and the temperature dependence of the hysteresis loop area are studied in relation to the dynamic symmetry loss. They analyzed their model using numerical simulations, mean-ﬁeld theory, and In an extensive and pioneering work Sethna et al. The Ising model (/ ˈ aɪ s ɪ ŋ /; German: ), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics.The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or −1). • Numerical and analytical evidence shows that the DPT Hysteresis behaviors of the binary alloy system represented by the formula A c B 1-c have been investigated within the framework of EFT. • Hysteresis is a far-from-equibrium phenomenon found in many physical and chemical contexts, including magnetism, ferroelectrics, and surface adsorption • Dynamic phase transition (DPT) for kinetic Ising model driven by oscillating field. The system consists of type A atoms (spin-1) with concentration c and type B atoms (spin-1/2) with concentration 1 - c . In this model, Ising spins with a quenched random ﬁeld at each site evolve by a zero-temperature single-spin-ﬂip dynamics. The dynamic One thing that can destroy uniform alignment of the spins is random thermal motions. The low-temperature behavior of the hysteresis loop in the Ising model with crystal-field under uniform longitudinal magnetic field is studied by exact recursion relations on the Bethe lattice. to obtain nonvanishing hysteresis in the limit ω = 0. Hysteresis in random-ﬁeld Ising model on a Bethe lattice with a mixed coordination number Prabodh Shukla and Diana Thongjaomayum Physics Department, North Eastern Hill University Shillong-793 022, India E-mail: shukla@nehu.ac.in Received 26 November 2015, revised 6 April 2016

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