Hysteretic Response of an Anti-Ferromagnetic Random-Field Ising Model in One Dimension at Zero Temperature
Prabodh Shukla, Ratnadeep Roy, and Emilia Ray
TL;DR
This paper analyzes the hysteretic behavior of a one-dimensional anti-ferromagnetic random-field Ising model at zero temperature, providing analytical insights within a specific applied field range.
Contribution
It offers the first analytical results for the hysteretic response of this model in a limited field range, enhancing understanding of disordered magnetic systems.
Findings
Analytical expressions derived for hysteresis in the model.
Identification of a limited field range where results are valid.
Insights into the zero-temperature behavior of disordered magnetic systems.
Abstract
We consider the hysteretic response of a one-dimensional anti-ferromagnetic random-field Ising model at zero temperature for a uniform bounded distribution of quenched random fields, and present analytic results in a limited range of the applied field.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods