Reducing finite-size effects with reweighted renormalization group transformations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2024

Reducing finite-size effects with reweighted renormalization group transformations

Résumé

We combine histogram reweighting techniques with the two-lattice matching Monte Carlo renormalization group method to conduct computationally efficient calculations of critical exponents on systems with moderately small lattice sizes. The approach, which relies on the construction of renormalization group mappings between two systems of identical lattice size to partially eliminate finite-size effects, and the use of histogram reweighting to obtain computationally efficient results in extended regions of parameter space, is utilized to explicitly determine the renormalized coupling parameters of the two-dimensional ϕ4 scalar field theory and to extract multiple critical exponents. We conclude by quantifying the computational benefits of the approach and discuss how reweighting opens up the opportunity to extend Monte Carlo renormalization group methods to systems with complex-valued actions.

Dates et versions

hal-04411578 , version 1 (23-01-2024)

Identifiants

Citer

Dimitrios Bachtis. Reducing finite-size effects with reweighted renormalization group transformations. Physical Review E , 2024, 109 (1), pp.014125. ⟨10.1103/PhysRevE.109.014125⟩. ⟨hal-04411578⟩
20 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More