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Multidimensional persistence behavior in an Ising system.

Anjan Kumar Chandra1, Subinay Dasgupta

  • 1Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary

This study investigates spin persistence in a quenched Ising chain, revealing three distinct decay regimes. The findings offer insights into complex system dynamics and phase transitions.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The Ising model is a fundamental tool for studying magnetism and phase transitions.
  • Understanding non-equilibrium dynamics, such as temperature quenches, is crucial for complex systems.

Purpose of the Study:

  • To investigate the persistence probability of spins in a periodic Ising chain after a temperature quench.
  • To analyze the time-dependent decay of spin persistence across different interaction ranges (r).

Main Methods:

  • Computer simulations were employed to study the persistence probability P(t).
  • The study focused on a periodic Ising chain with nearest-neighbor and rth neighbor interactions.
  • Simulations were conducted for a quench from infinite to zero temperature.

Main Results:

  • Three distinct decay regimes for persistence probability P(t) were observed: t(-0.22), a slow decay, and t(-3/8).
  • The first regime resembles 2D Ising model behavior, the second resembles noninteracting systems, and the third resembles 1D Ising model behavior.
  • Explanations for these observed persistence behaviors were provided.

Conclusions:

  • The quench dynamics of the Ising chain exhibit complex, multi-regime behavior.
  • The observed regimes correlate with different effective dimensionalities of the system.
  • This research contributes to understanding non-equilibrium statistical mechanics and critical phenomena.