Langevin simulations of lattice field theories using Fourier acceleration
Journal of Statistical Physics, 1986Here r/ is a random number (usually Gaussian) with (q(x)* ~/(y))=2ax,y and e is the step size. Without the noise term the algorithm would be simply a technique for finding the minima of S[~b] by the gradient method. The noise term simulates quantum fluctuations about these classical configurations.
C. Davies +7 more
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Quantum Field Theories on the Lattice : Concepts behind their Numerical Simulations
AIP Conference Proceedings, 2011We review the basic ideas behind numerical simulations of quantum field theory, which lead to non‐perturbative results in particle physics. We first sketch the functional integral formulation of quantum mechanics, its transition to Euclidean time and the link to statistical mechanics.
Wolfgang Bietenholz +4 more
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Hadron Structure and QCD: Effective Field Theory for Lattice Simulations
2008Chiral extrapolations will be essential for many years if one is to connect modern lattice QCD calculations with experiment. Given the enormous efforts made to ensure that the lattice QCD simulations are a rigorous implementation of nonperturbative QCD, it is essential that the chiral extrapolation procedure should also be consistent with all known ...
Leinweber, D., Thomas, A., Young, R.
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Thermodynamic properties of lattice polymers: Monte Carlo simulations and mean-field theories
The Journal of Chemical Physics, 2000Monte Carlo simulations of a lattice polymer melt are used to determine the thermodynamic properties of the system over a range of monomer volume fractions 0⩽φ⩽0.8 and effective temperatures 3.3⩽T*⩽∞. The simulations consider chains of length M=40 and M=100.
Dorel Buta, Karl F. Freed, Igal Szleifer
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Thermodynamical and Chiral Limit in Computer Simulations of Lattice Quantum Field Theories
Communications in Theoretical Physics, 1995The finite-size effects which appear in computer simulations of chiral-symmetry breaking in lattice gauge theory are analyzed. To reduce these systematic errors, a better method for extrapolating the chiral condensate to the infinite volume and chiral limit is proposed.
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Lattice-based mesoscale simulations and mean-field theory of cell membrane adhesion
Adhesion of cell membranes involves multi-scale phenomena, ranging from specific molecular binding at Angstrom scale all the way up to membrane deformations and phase separation at micrometer scale. Consequently, theory and simulations of cell membrane adhesion require multi-scale modeling and suitable approximations that capture the essential physics ...Long, Li +4 more
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Monte Carlo simulations in lattice field theories — Publication output and citation impact
Czechoslovak Journal of Physics, 1986A partir des references des bases de donnees INIS et SCI, on mene une analyse quantitative des citations afin de mettre a jour le front de la recherche dans le domaine des champs reticulaires en physique des ...
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Tensor lattice field theory for renormalization and quantum computing
Reviews of Modern Physics, 2022Y Meurice +2 more
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The Effect of Lattice Misfits on the Precipitation at Dislocations: Phase-Field Crystal Simulation
Materials, 2023Xiong Shuai, Sai Tang
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