Search Results - "Middleton, A Alan"

Zero- and low-temperature behavior of the two-dimensional ±J Ising spin glass by Thomas, Creighton K, Huse, David A, Middleton, A Alan

“…Scaling arguments and precise simulations are used to study the square lattice ±J Ising spin glass, a prototypical model for glassy systems. Droplet theory…”
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Statistics of static avalanches in a random pinning landscape by Le Doussal, Pierre, Middleton, A Alan, Wiese, Kay Jörg

“…We study the minimum-energy configuration of a d -dimensional elastic interface in a random potential tied to a harmonic spring. As a function of the spring…”
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Minimal spanning trees at the percolation threshold: a numerical calculation by Sweeney, Sean M, Middleton, A Alan

“…The fractal dimension of minimal spanning trees on percolation clusters is estimated for dimensions d up to d=5. A robust analysis technique is developed for…”
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Measuring functional renormalization group fixed-point functions for pinned manifolds by Middleton, A Alan, Le Doussal, Pierre, Wiese, Kay Jörg

“…Exact numerical minimization of interface energies is used to test the functional renormalization group analysis for interfaces pinned by quenched disorder…”
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Extracting thermodynamic behavior of spin glasses from the overlap function by Middleton, A. Alan

“…The nature of equilibrium states in disordered materials is often studied using an overlap function P(q), the probability of two configurations having…”
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Collective transport in arrays of small metallic dots by MIDDLETON, A. A, WINGREEN, N. S

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Numerical Investigation of the Thermodynamic Limit for Ground States in Models with Quenched Disorder by Alan Middleton, A.

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Critical slowing down in polynomial time algorithms by Middleton, A Alan

“…Combinatorial optimization algorithms that compute exact ground states for disordered magnets are seen to exhibit critical slowing down at zero temperature…”
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Irrational mode locking in quasiperiodic systems by Thomas, Creighton K, Middleton, A Alan

“…A model for ac-driven systems, based on the Tang-Wiesenfeld-Bak-Coppersmith-Littlewood automaton for an elastic medium, exhibits mode-locked steps with…”
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Numerically exact correlations and sampling in the two-dimensional Ising spin glass by Thomas, Creighton K, Middleton, A Alan

“…A powerful existing technique for evaluating statistical mechanical quantities in two-dimensional Ising models is based on constructing a matrix representing…”
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Driven depinning of strongly disordered media and anisotropic mean-field limits by Marchetti, M Cristina, Middleton, A Alan, Saunders, Karl, Schwarz, J M

“…Extended systems driven through strong disorder are modeled generically using coarse-grained degrees of freedom that interact elastically in the directions…”
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Percolation of unsatisfiability in finite dimensions by Schwarz, J M, Alan Middleton, A

“…The optimization of two-dimensional Boolean formulas is studied using percolation theory, rare region arguments, and boundary effects. In contrast with…”
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Exact algorithm for sampling the two-dimensional Ising spin glass by Thomas, Creighton K, Middleton, A Alan

“…A sampling algorithm is presented that generates spin-glass configurations of the two-dimensional Edwards-Anderson Ising spin glass at finite temperature with…”
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Configuration Memory in Patchwork Dynamics for Low-dimensional Spin Glasses by Yang, Jie, Middleton, A. Alan

“…Phys. Rev. B 96, 214208 (2017) A patchwork method is used to study the dynamics of loss and recovery of an initial configuration in spin glass models in…”
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Which measures of spin-glass overlaps are informative? by Middleton, A. Alan

“…Physical Review B 87, 220201(R) (2013) The nature of equilibrium states in disordered materials is often studied using an overlap function P(q), the…”
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Improved extremal optimization for the Ising spin glass by Middleton, A Alan

“…A version of the extremal optimization (EO) algorithm introduced by Boettcher and Percus is tested on two- and three-dimensional spin glasses with Gaussian…”
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Matching Kasteleyn cities for spin glass ground states by Thomas, Creighton K., Middleton, A. Alan

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Self-organization and a dynamical transition in traffic-flow models by BIHAM, O, MIDDLETON, A. A

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Minimal spanning trees at the percolation threshold: a numerical calculation by Sweeney, Sean M, Middleton, A. Alan

“…Phys. Rev. E 88, 032129 (2013) The fractal dimension of minimal spanning trees on percolation clusters is estimated for dimensions $d$ up to $d=5$. A robust…”
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Numerically exact correlations and sampling in the two-dimensional Ising spin glass by Thomas, Creighton K, Middleton, A. Alan

“…Physical Review E 87, 043303 (2013) [16 pages] A powerful existing technique for evaluating statistical mechanical quantities in two-dimensional Ising models…”
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