An efficient algorithm for numerical computations of continuous densities of states

Langfeld, Kurt; Lucini, Biagio; Pellegrini, Roberto; Rago, Antonio

doi:10.48550/arxiv.1509.08391

Cited by 9 publications

(24 citation statements)

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“…It was shown 91 that for sufficiently small δE there is only one solution to (25). The solution a = a k of the stochastic equation ( 25) provides the log derivative of the density-of-states at the midpoint of the action interval.…”

Section: Note That W [φ]mentioning

confidence: 99%

Approaches to the sign problem in lattice field theory

Gattringer

Langfeld

2016

Int. J. Mod. Phys. A

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Quantum field theories (QFTs) at finite densities of matter generically involve complex actions. Standard Monte-Carlo simulations based upon importance sampling, which have been producing quantitative first principle results in particle physics for almost fourty years, cannot be applied in this case. Various strategies to overcome this so-called sign problem or complex action problem were proposed during the last thirty years. We here review the sign problem in lattice field theories, focussing on two more recent methods: Dualization to world-line type of representations and the density-of-states approach.

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Section: Note That W [φ]mentioning

confidence: 99%

Approaches to the sign problem in lattice field theory

Gattringer

Langfeld

2016

Int. J. Mod. Phys. A

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141

145

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“…An algorithm to compute the log-derivative of the density of states was proposed in [1], and the convergence of the algorithm was proved in [2]. It was tested in 4d compact U(1) lattice gauge theory, which is known to undergo a first order phase transition with remarkable results.…”

Section: The Density Of Statesmentioning

confidence: 99%

“…It is fairly easy to compute the generalized density of states using the LLR algorithm; an example is shown in fig. (2). The LLR algorithm delivers a very high precision over different orders of magnitude.…”

Section: The Oscillating Integralmentioning

confidence: 99%

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The density of states approach at finite chemical potential: a numerical study of the Bose gas.

Pellegrini¹,

Bongiovanni²,

Langfeld³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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“…The most interesting expansion (or deviation?) of this work would be to develop a continuous model of the HP model using rotary degrees of freedom and simulate it using the recently outlined LLR (logarithmic linear routine) method for computing the DOS (see [55] for a detailed explanation and application). The trial move set used here could be assimilated into this continuous model.…”

Section: Areas For Future Workmentioning

confidence: 99%

A Parallel Trajectory Swapping Wang - Landau Study Of The HP Protein Model

Davis

2016

Preprint

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The HP model of protein folding, where the chain exists in a free medium, is investigated using a parallel Monte Carlo scheme based upon Wang-Landau sampling. Expanding on the recent work of Wust and Landau [9] [51] by introducing a lesser known replica -exchange scheme between individual Wang-Landau samplers, the problem of dynamical trapping (spiking in the density of states) was avoided and an enhancement in the efficiency of traversing configuration space was obtained. Highlighting dynamical trapping as an issue for lattice polymer simulations for increasing lengths is explicitly done here for the first time. The 1/t scheme is also integrated within this sophisticated Monte Carlo methodology.A trial move set was developed which includes pull, bond re-bridging, pivot, kink-flip and a newly invented and implemented fragment random walk move which allowed rapid exploration of high and low temperature configurations. A native state search was conducted leading to the attainment of the native states of the benchmark sequences of 2D50 (-21), 2D60 (-36)and 2D64 (-42), whilst attaining minimum energies close to the native state for 2D85(-52 NATIVE= -53), 2D100a (-47 NATIVE= -48) and 2D100b .Thermodynamic observables such as C V /N , U/N , S/N and F/N were computed for 2D benchmark sequences and folding and unfolding behaviour was investigated. Lattice polymers with monomeric hydrophobic structure were also studied in the same manner with the recording of minimum energy values and thermodynamic behaviour. The native results for the benchmark sequences and lattice polymers were compared with varying computational methods.

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An efficient algorithm for numerical computations of continuous densities of states

Cited by 9 publications

References 0 publications

Approaches to the sign problem in lattice field theory

Approaches to the sign problem in lattice field theory

The density of states approach at finite chemical potential: a numerical study of the Bose gas.

A Parallel Trajectory Swapping Wang - Landau Study Of The HP Protein Model

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