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Blume-Capel model analysis with a microcanonical population annealing method.
Phys Rev E
April 2024
Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia and HSE University, 101000 Moscow, Russia.
We present a modification of the Rose-Machta algorithm [N. Rose and J. Machta, Phys.
View Article and Find Full Text PDFShape-interaction dualism: unraveling complex phase behavior in triangular particle monolayers.
J Phys Condens Matter
March 2024
Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Ave. 11, Omsk 644050, Russia.
This paper examines the effect of finite attractive and repulsive interactions on the self-assembly of triangular-shaped particles on a triangular lattice. The ground state analysis of the lattice model has revealed an infinite sequence of ordered structures, a phenomenon referred to as the 'devil's staircase' of phase transitions. The model has been studied at finite temperatures using both the transfer-matrix and tensor renormalization group methods.
View Article and Find Full Text PDFCritical line of the triangular Ising antiferromagnet in a field from a C_{3}-symmetric corner transfer matrix algorithm.
Phys Rev E
December 2023
Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31400 Toulouse, France.
The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively used to investigate both classical and quantum two-dimensional (2D) lattice models. The convergence of the algorithm can strongly vary from model to model depending on the underlying geometry and symmetries, and the presence of algebraic correlations. An important factor in the convergence of the algorithm is the lattice symmetry, which can be broken due to the necessity of mapping the problem onto the square lattice.
View Article and Find Full Text PDFDerivation of field theory for the classical dimer model using bosonization.
Phys Rev E
May 2023
School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
We derive a field theory for the two-dimensional classical dimer model by applying bosonization to Lieb's (fermionic) transfer-matrix solution. Our constructive approach gives results that are consistent with the well-known height theory, previously justified based on symmetry considerations, but also fixes coefficients appearing in the effective theory and the relationship between microscopic observables and operators in the field theory. In addition, we show how interactions can be included in the field theory perturbatively, treating the case of the double dimer model with interactions within and between the two replicas.
View Article and Find Full Text PDFA Projection-Domain Low-Count Quantitative SPECT Method for -Particle-Emitting Radiopharmaceutical Therapy.
IEEE Trans Radiat Plasma Med Sci
January 2023
Department of Biomedical Engineering and the Mallinckrodt Institute of Radiology, Washington University, St. Louis, MO 63130 USA.
Single-photon emission-computed tomography (SPECT) provides a mechanism to estimate regional isotope uptake in lesions and at-risk organs after administration of -particle-emitting radiopharmaceutical therapies (-RPTs). However, this estimation task is challenging due to the complex emission spectra, the very low number of detected counts (~20 times lower than in conventional SPECT), the impact of stray-radiation-related noise at these low counts, and the multiple image-degrading processes in SPECT. The conventional reconstruction-based quantification methods are observed to be erroneous for -RPT SPECT.
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