4.7 Article

Universal dynamic scaling in three-dimensional Ising spin glasses

Journal

PHYSICAL REVIEW E
Volume 92, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.92.022128

Keywords

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Funding

  1. NSF [PHY-1211284, DMR-1207036]
  2. Gutzwiller Fellowship at the Max Planck Institute for the Physics of Complex Systems
  3. Humboldt Foundation
  4. Division Of Physics
  5. Direct For Mathematical & Physical Scien [1211284] Funding Source: National Science Foundation

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We use a nonequilibrium Monte Carlo simulation method and dynamical scaling to study the phase transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity v (temperature change versus time) in Monte Carlo simulations starting at a high temperature. This approach has the advantage that the equilibrium limit does not have to be strictly reached for a scaling analysis to yield critical exponents. For the dynamic exponent we obtain z = 5.85(9) for bimodal couplings distribution and z = 6.00(10) for the Gaussian case. Assuming universal dynamic scaling, we combine the two results and obtain z = 5.93 +/- 0.07 for generic 3D Ising spin glasses.

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