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Dynamical percolation transition in the two-dimensional ANNNI model.

Anjan Kumar Chandra¹

¹Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata, India. anjanphys@gmail.com

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|March 5, 2013

Summary

This study explores the dynamical percolation transition in a 2D Ising model under pulsed magnetic fields. Results show critical exponents are invariant, suggesting universality across different models.

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Area of Science:

Condensed Matter Physics
Statistical Mechanics
Phase Transitions

Background:

The two-dimensional axial next nearest-neighbor Ising model exhibits complex phase diagrams.
Understanding dynamical transitions is crucial for characterizing material behavior under external fields.

Purpose of the Study:

To investigate the dynamical percolation transition in the 2D axial next nearest-neighbor Ising model under pulsed magnetic fields.
To analyze the influence of frustration parameters, pulse width, and temperature on this transition.
To determine the universality class of the observed dynamical transition.

Main Methods:

Finite size scaling analysis was employed.
Monte Carlo simulations were conducted for various system parameters.
The size of the largest geometrical cluster was monitored.

Main Results:

A dynamical percolation transition was observed at a critical field amplitude.
Transition points shifted with varying frustration parameters and pulse widths.
Critical exponents remained invariant across a range of frustration parameters.
These exponents matched those of the 2D Ising model.

Conclusions:

The dynamical percolation transition in this model belongs to the same universality class as the 2D Ising model.
Despite differing static phase diagrams, dynamical behavior reveals shared universality.
Pulsed magnetic fields can induce distinct transitions in magnetic systems.