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Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
Published on: September 4, 2015
Dynamical percolation transition in the Ising model studied using a pulsed magnetic field
Soumyajyoti Biswas1, Anasuya Kundu, Anjan Kumar Chandra
1Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata-700064, India. soumyajyoti.biswas@saha.ac.in
Summary
We investigated the dynamical percolation transition in the two-dimensional Ising model under pulsed fields. Critical exponents were found to be universal for the Ising class, distinct from static percolation.
Area of Science:
- Statistical Physics
- Condensed Matter Physics
- Complex Systems
Background:
- The two-dimensional Ising model exhibits critical phenomena relevant to magnetism and phase transitions.
- Percolation transitions describe the formation of connected clusters in disordered systems.
- Understanding dynamical transitions is crucial for systems driven by external fields.
Purpose of the Study:
- To investigate the dynamical percolation transition in the two-dimensional Ising model under pulsed magnetic fields.
- To determine the critical exponents governing this dynamical transition.
- To compare the dynamical exponents with those of static percolation and other models in the Ising universality class.
Main Methods:
- Simulations of the two-dimensional Ising model subjected to pulsed magnetic fields below the critical temperature.
- Analysis of geometrical cluster formation and percolation phenomena.
- Calculation of critical exponents and Binder cumulant values.
Main Results:
- The critical exponents for the dynamical percolation transition are independent of temperature and pulse width.
- These exponents differ from those of the static percolation transition.
- The same exponents were observed in another model belonging to the Ising universality class, indicating a common feature.
- A universal critical Binder cumulant value was identified.
Conclusions:
- The dynamical percolation transition in the Ising model is characterized by universal critical exponents.
- This behavior is a common feature of the Ising universality class.
- The findings distinguish dynamical percolation from static percolation and highlight its universal nature within the Ising class.
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