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Setting Limits on Supersymmetry Using Simplified Models
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Block renormalization study on the nonequilibrium chiral Ising model.

Mina Kim1, Su-Chan Park2, Jae Dong Noh3

  • 1Department of Physics, University of Seoul, Seoul 130-743, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 14, 2015
PubMed
Summary
This summary is machine-generated.

This study investigates a chiral Ising spin system, revealing continuous power-law scaling in its ordering dynamics. The findings confirm anomalous scaling behavior with continuously varying exponents in this nonequilibrium model.

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Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • Nonequilibrium systems exhibit complex dynamics not found in equilibrium.
  • Chiral systems possess direction-dependent properties, influencing their evolution.
  • Ising models are fundamental for understanding magnetism and phase transitions.

Purpose of the Study:

  • To numerically study the ordering dynamics of a 1D nonequilibrium chiral Ising spin system.
  • To analyze the power-law scaling behavior and its exponents.
  • To validate findings using block renormalization group analysis.

Main Methods:

  • Numerical simulations of a 1D chiral Ising spin system.
  • Analysis of characteristic length scale and domain-wall density scaling.
  • Application of block renormalization analysis (Basu and Hinrichsen, 2011).

Main Results:

  • The system evolves to a ferromagnetic ordered state for u<1.
  • Power-law scaling observed for length scale (ξ∼t(1/z)) and domain-wall density (ρ∼t(-δ)).
  • Scaling exponents z and δ vary continuously with parameter u.

Conclusions:

  • The nonequilibrium chiral Ising model exhibits anomalous power-law scaling.
  • Scaling exponents are found to vary continuously with the chirality parameter u.
  • Block renormalization analysis confirms the observed scaling behavior and exponents.