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 The frequency dispersion and the temperature dependence of the hysteresis loop area are studied in relation to the dynamic symmetry loss. One thing that can destroy uniform alignment of the spins is random thermal motions. [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 hysteresis of the Ising model in a spatially homogeneous ac ﬁeld is studied using both mean-ﬁeld calculations and two-dimensional Monte Carlo simulations. • Numerical and analytical evidence shows that the DPT 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 dynamic 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]. In this model, Ising spins with a quenched random ﬁeld at each site evolve by a zero-temperature single-spin-ﬂip dynamics. Hysteresis behaviors of the binary alloy system represented by the formula A c B 1-c have been investigated within the framework of EFT. THE ISING MODEL course project in Simulation of Physical Processes Tallinn 2008. They analyzed their model using numerical simulations, mean-ﬁeld theory, and 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). • 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 frequency dispersion and the temperature dependence of the hysteresis loop area are studied in relation to the dynamic symmetry loss. The system consists of type A atoms (spin-1) with concentration c and type B atoms (spin-1/2) with concentration 1 - c . 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. In an extensive and pioneering work Sethna et al. to obtain nonvanishing hysteresis in the limit ω = 0. After giving the phase diagrams, we focused on the different type of hysteresis behaviors in the system. This is the hysteresis.

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