0000000000653239

AUTHOR

Bernd A. Berg

showing 2 related works from this author

Multi-overlap simulations of free-energy barriers in the 3D Edwards–Anderson Ising spin glass

1999

We report large-scale simulations of the three-dimensional Edwards‐Anderson Ising spin-glass model using the multi-overlap Monte Carlo algorithm. We present our results in the spin-glass phase on free-energy barriers and the non-trivial finite-size scaling behavior of the Parisi order-parameter distribution. © 1999 Elsevier Science B.V. All rights reserved.

PhysicsSpin glassCondensed matter physicsMonte Carlo methodGeneral Physics and AstronomyCondensed Matter::Disordered Systems and Neural NetworksHardware and ArchitecturePhase (matter)Ising spinIsing modelStatistical physicsScalingEnergy (signal processing)Monte Carlo algorithmComputer Physics Communications
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Multioverlap Simulations of the 3D Edwards-Anderson Ising Spin Glass

1997

We introduce a novel method for numerical spin glass investigations: Simulations of two replica at fixed temperature, weighted such that a broad distribution of the Parisi overlap parameter $q$ is achieved. Canonical expectation values for the entire $q$-range (multi-overlap) follow by re-weighting. We demonstrate the feasibility of the approach by studying the $3d$ Edwards-Anderson Ising ($J_{ik}=\pm 1$) spin glass in the broken phase ($\beta=1$). For the first time it becomes possible to obtain reliable results about spin glass tunneling barriers. In addition, as do some earlier numerical studies, our results support that Parisi mean field theory is valid down to $3d$.

PhysicsSpin glassCondensed matter physicsCondensed Matter (cond-mat)High Energy Physics - Lattice (hep-lat)FOS: Physical sciencesGeneral Physics and AstronomyCondensed MatterCondensed Matter::Disordered Systems and Neural NetworksFreezing pointHigh Energy Physics - LatticeDistribution (mathematics)Phase (matter)Ising spinIsing modelScalingQuantum tunnellingPhysical Review Letters
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