Simulating spin systems on IANUS, an FPGA-based computer

Belletti, F.; Cotallo, M.; Cruz, A.; Fernández, L. A.; Gordillo, Antonio; Maiorano, Andrea; Mantovani, Filippo; Marinari, Enzo; Martı́n-Mayor, V.; Sudupe, A. Muñoz; Navarro, D.; Pérez-Gaviro, S.; Ruiz‐Lorenzo, J. J.; Schifano, Sebastiano Fabio; Sciretti, D.; Tarancón, A.; Tripiccione, R.; Velasco, J. L.

doi:10.1016/j.cpc.2007.09.006

Cited by 65 publications

(70 citation statements)

References 22 publications

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“…We have run simulations for several lattice sizes on the Janus supercomputer [22,23,24] (for L = 16, 24, and 32) and on conventional computers (for L = 8 and 12). These simulations were originally reported in [20], which gives full details on the chosen parameters and the thermalization protocol.…”

Section: Simulation Detailsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Baños¹,

Gil-Narvion²,

Monforte-Garcia³

et al. 2013

J. Stat. Mech.

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Abstract.We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the spin-glass phase). Studying the behavior of the zeros at the critical point, we have obtained an accurate measurement of the anomalous dimension in very good agreement with the values quoted in the literature. In addition, by studying the density of the zeros we have been able to characterize the phase transition and to investigate the EdwardsAnderson order parameter in the spin-glass phase, finding agreement with the values obtained using more conventional techniques.

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Section: Simulation Detailsmentioning

confidence: 99%

“…Let us finally mention that we have obtained the data presented in this work from the analysis of the configurations produced in parallel tempering runs [20,21] using the Janus computer [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Baños¹,

Gil-Narvion²,

Monforte-Garcia³

et al. 2013

J. Stat. Mech.

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“…Here we present the results of a large-scale simulation performed on Janus [22,23], a special-purpose computer designed for the simulation of SG. For this particular task, Janus outperforms standard computers by several orders of magnitude.…”

Section: Introductionmentioning

confidence: 99%

Nature of the spin-glass phase at experimental length scales

Baños¹,

Cruz²,

Fernández³

et al. 2010

J. Stat. Mech.

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Abstract. We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L = 32 lattices down to T ≈ 0.64T c . We demonstrate the relevance of equilibrium finite-size simulations to understand experimental non-equilibrium spin glasses in the thermodynamical limit by establishing a time-length dictionary. We conclude that non-equilibrium experiments performed on a time scale of one hour can be matched with equilibrium results on L ≈ 110 lattices. A detailed investigation of the probability distribution functions of the spin and link overlap, as well as of their correlation functions, shows that Replica Symmetry Breaking is the appropriate theoretical framework for the physically relevant length scales. Besides, we improve over existing methodologies to ensure equilibration in parallel tempering simulations.

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“…15 We have been able to thermalize the p = 4 Potts glass model on an L = 16 cubic lattice down to the low temperature phase: this gives us information on far larger lattice sizes than had been possible before.…”

Section: Introductionmentioning

confidence: 99%

Spin glass phase in the four-state three-dimensional Potts model

et al. 2009

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We perform numerical simulations, including parallel tempering, a four-state Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and characterize a glassy transition, estimating the critical temperature and the value of the critical exponents. Nevertheless, the extrapolation to infinite volume is hampered by strong scaling corrections. We show that there is no ferromagnetic transition in a large temperature range around the glassy critical temperature. We also compare our results with those obtained recently on the "random permutation" Potts glass.

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Simulating spin systems on IANUS, an FPGA-based computer

Cited by 65 publications

References 22 publications

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Nature of the spin-glass phase at experimental length scales

Spin glass phase in the four-state three-dimensional Potts model

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