Parallelization of the Umbrella Monte Carlo Algorithm

“…For details we refer to Refs. [6,7]. Each update of the complete lattice is followed by 3 reflection steps [8] to reduce correlation of successive configurations.…”

Section: Simulation Detailsmentioning

confidence: 99%

Finite size scaling analysis of compact QED

Arnold¹,

Lippert²,

Schilling³

et al. 2001

Nuclear Physics B - Proceedings Supplements

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We describe results of a high-statistics finite size scaling analysis of 4d compact U(1) lattice gauge theory with Wilson action at the phase transition point. Using a multicanonical hybrid Monte Carlo algorithm we generate data samples with more than 150 tunneling events between the metastable states of the system, on lattice sizes up to 18^4. We performed a first analysis within the Borgs-Kotecky finite size scaling scheme. As a result, we report evidence for a first-order phase transition with a plaquette energy gap, G=0.02667(20), at a transition coupling, beta_T=1.011128(11).Comment: Lattice 2000 (Topics in Gauge Theories),6 pages, 6 figures, LaTe

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“…adjusted such that the product τ int N md is minimized finally. In our case, the optimal acceptance probability is 65 % [58]. Fig.…”

Section: Scaling Behaviourmentioning

confidence: 77%

“…The investigations presented form part of an ongoing study that aims at a conclusive FSS analysis of compact QED on the Wilson line [51].…”

Section: Discussionmentioning

confidence: 99%

“…In section 2.3, we merge MUCA with HMC. From our ongoing simulation project of U(1) theory on the Wilson line [51], we determine the tunneling efficiency compared to the standard metropolis algorithm which in our case is complemented by three reflection steps. In section 3, we shall present our results for lattice sizes up to 16 4 and predict the tunnelling rates for lattice sizes up to 24 4 , as would be required for a proper FSS.…”

Section: Introductionmentioning

confidence: 99%

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Multicanonical hybrid Monte Carlo algorithm: Boosting simulations of compact QED

Arnold¹,

Schilling

Lippert

1999

Phys. Rev. D

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We demonstrate that substantial progress can be achieved in the study of the phase structure of 4-dimensional compact QED by a joint use of hybrid Monte Carlo and multicanonical algorithms, through an efficient parallel implementation. This is borne out by the observation of considerable speedup of tunnelling between the metastable states, close to the phase transition, on the Wilson line. We estimate that the creation of adequate samples (with order 100 flip-flops) becomes a matter of half a year's runtime at 2 Gflops sustained performance for lattices of size up to 244 .

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Parallelization of the Umbrella Monte Carlo Algorithm

Cited by 3 publications

References 0 publications

Compact QED under scrutiny: it's first order

Compact QED under scrutiny: it's first order

Finite size scaling analysis of compact QED

Multicanonical hybrid Monte Carlo algorithm: Boosting simulations of compact QED

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