# Hysteresis in the Ising model with Glauber dynamics.

@article{Shukla2018HysteresisIT, title={Hysteresis in the Ising model with Glauber dynamics.}, author={Prabodh Shukla}, journal={Physical review. E}, year={2018}, volume={97 6-1}, pages={ 062127 } }

We use Glauber dynamics to study time and temperature dependence of hysteresis in the pure (without quenched disorder) Ising model on cubic, square, honeycomb lattices as well as random graphs. Results are discussed in the context of more extensive studies of hysteresis in the random field Ising model.

## 2 Citations

Critical hysteresis on dilute triangular lattice.

- Mathematics, PhysicsPhysical review. E
- 2019

Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice is indicated to be nearly zero if approximately less than two-thirds of the sublattice is occupied, suggesting that hystereis on dilute periodic lattices is qualitatively different from that on Dilute Bethe lattices.

Suppression of spinodal instability by disorder in an athermal system

- PhysicsPhysical Review B
- 2021

We observed asymmetric critical slowing down and asymmetric dynamical scaling exponent in the superheating and supercooling kinetic processes during the thermally-induced metal-insulator transition…

## References

SHOWING 1-10 OF 56 REFERENCES

Random-field Ising model in and out of equilibrium

- Physics
- 2006

We present numerical studies of zero-temperature Gaussian random-field Ising model (zt-GRFIM) in both equilibrium and non-equilibrium. We compare the universal quantities in 3D (avalanche critical…

Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations.

- Physics, MedicinePhysical review letters
- 1993

The zero-temperature random-field Ising model is used to study hysteretic behavior at first-order phase transitions using mean-field theory and results of numerical simulations in three dimensions are presented.

Avalanche distributions in the two-dimensional nonequilibrium zero-temperature random field Ising model.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

We present in detail the scaling analysis and data collapse of avalanche distributions and joint distributions that characterize the recently evidenced critical behavior of the two-dimensional…

Criteria for infinite avalanches in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice.

- Physics, MedicinePhysical review. E
- 2017

We present general criteria for the occurrence of infinite avalanches and critical hysteresis in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice. Drawing upon extant…

Numerical evidence for critical behavior of the two-dimensional nonequilibrium zero-temperature random field Ising model.

- Physics, MedicinePhysical review letters
- 2011

We give numerical evidence that the two-dimensional nonequilibrium zero-temperature random field Ising model exhibits critical behavior. Our findings are based on the results of scaling analysis and…

Zero-temperature hysteresis in the random-field Ising model on a Bethe lattice

- Physics, Mathematics
- 1996

We consider the single-spin-flip dynamics of the random-field Ising model on a Bethe lattice at zero temperature in the presence of a uniform external field. We determine the average magnetization as…

Hysteresis scaling of the field-driven first-order phase transition in the Ising model

- Physics
- 1998

Dynamical phase transitions in the Ising model on hypercubic lattices are considered. Under a linearly swept magnetic field, the hysteresis loop that characterizes the field-driven first-order phase…

Stable, metastable and unstable states in the mean-field random-field Ising model at T = 0

- Physics
- 2008

We compute the probability distribution of the number of metastable states at a given applied field in the mean-field random-field Ising model at T = 0. Remarkably, there is a non-zero probability in…

Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions

- Physics
- 1999

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between…

Computational Analysis of 3D Ising Model Using Metropolis Algorithms

- Physics
- 2015

We simulate the Ising Model with the Monte Carlo method and use the algorithms of Metropolis to update the distribution of spins. We found that, in the specific case of the three-dimensional Ising…