Dynamical percolation transition in the Ising model studied using a pulsed magnetic field

We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature and pulse width and are different from the (static) percolatio...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2011-02, Vol.83 (2 Pt 1), p.021109-021109, Article 021109
Main Authors: Biswas, Soumyajyoti, Kundu, Anasuya, Chandra, Anjan Kumar
Format: Article
Language:English
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Summary:We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature and pulse width and are different from the (static) percolation transition associated with the thermal transition. For a different model that belongs to the Ising universality class, the exponents are found to be same, confirming that the behavior is a common feature of the Ising class. These observations, along with a universal critical Binder cumulant value, characterize the dynamical percolation of the Ising universality class.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.83.021109