Article
Physics, Multidisciplinary
Yueshui Zhang, Anton Hulsch, Hua-Chen Zhang, Wei Tang, Lei Wang, Hong-Hao Tu
Summary: We demonstrate that the Klein bottle entropy in conformal field theories perturbed by relevant operators is a universal function of the dimensionless coupling constant. This universal scaling of the Klein bottle entropy near criticality can be used to efficiently determine the scaling dimension of lattice operators through data collapse. By employing numerical simulations with the continuous matrix product operator approach, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion conformal field theories with various perturbations.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Attilio L. Stella, Aleksei Chechkin, Gianluca Teza
Summary: This passage discusses the occurrence of anomalous diffusion phenomena across different length scales, and introduces a specific form of decay related to the probability density function. It also explains the implications of this decay on the normalized cumulant generator, and provides examples related to second-order phase transition singularities in continuous time random walks. In the case of bias, scaling is limited to displacements in the drift direction, and there is no equilibrium analogue for the singularities.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Nicolas di Scala, Nour El Islam Belmouri, Miguel Angel Paez Espejo, Kamel Boukheddaden
Summary: A three-dimensional electroelastic model is developed to describe the volume changes in spin-crossover materials during the transition between low and high spin states. The model uses a rectangular parallelepiped lattice with cubic symmetry and simulates the spin-crossover behavior using two-states fictitious spins coupled by springs. Parallel simulations are implemented using CUDA programming, and the interplay between electronic and structural aspects of the transformations is analyzed in relation to the model parameters.
Article
Mathematics
Zhidong Zhang
Summary: The common feature for a nontrivial hard problem is the existence of nontrivial topological structures, non-planarity graphs, nonlocalities, or long-range spin entanglements in a model system with randomness. In this work, the relation between a spin-glass three-dimensional (3D) Ising model MSGI3D with the lattice size N = mnl and the K-SAT problems is investigated in detail. It is found that the spin-glass 3D Ising model can be mapped to a K-SAT problem by proving the equivalence between the absolute minimum core (AMC) model and the K-SAT problem for K = 3.
Article
Physics, Fluids & Plasmas
Riekshika Sanwari, Anurag Sahay
Summary: State space Riemannian geometry is studied for the one-dimensional Blume-Emery-Griffiths model and its limits. Two codimension one geometries are obtained and shown to be consistent with thermodynamic scalar curvature. Good agreement is found between these geometries and the correlation lengths for spin and quadrupolar order parameters.
Article
Physics, Fluids & Plasmas
M. A. Moore
Summary: Simulation studies of spin glasses since the early 2010s have been focused on the replicon exponent a, aiming to determine whether the low-temperature phase of spin glasses follows the replica symmetry breaking picture of Parisi or the droplet-scaling picture. According to the droplet-scaling picture, the value of a is expected to be zero only for systems with a linear dimension greater than a certain critical value L*, which may be on the order of hundreds of lattice spacings in three dimensions.
Article
Physics, Fluids & Plasmas
P. R. N. Falcao, A. R. C. Buarque, W. S. Dias, G. M. A. Almeida, M. L. Lyra
Summary: In this study, a finite-time scaling analysis was performed over the detrapping point of a three-state quantum walk on the line. It was found that relevant quantities such as survival probability and participation ratio exhibit single parameter scaling forms near the detrapping angle. Particularly, the participation ratio grows linearly in time with a logarithmic correction, providing insight into previous reports of sublinear behavior.
Article
Chemistry, Physical
Lijin Wang, Grzegorz Szamel, Elijah Flenner
Summary: The density of states for two-dimensional glasses exhibits different system-size scaling depending on the number of particles. For systems with fewer than 100 particles, the density of states scales with the system size as if all the modes were plane-wave-like. However, for systems with more than 100 particles, the cumulative density of states below the first transverse sound mode frequency shows a different system-size dependence, suggesting quasi-localized modes. In addition, the cumulative density of states scales with the frequency as a power law with an exponent that leads to β = 3.5 for the density of states.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Optics
Lasse Gresista, Torsten Zache, Juergen Berges
Summary: We performed a dynamical finite-size scaling analysis of a nonequilibrium Bose gas confined in the transverse plane. Our results suggest that some aspects of the dynamical universal behavior in anisotropic systems can be classified in terms of fractional spatial dimensions.
Article
Materials Science, Multidisciplinary
Ching -Yu Huang, Sing-Hong Chan, Ying-Jer Kao, Pochung Chen
Summary: We propose a scheme to perform finite-size scaling analysis for two-dimensional classical models using tensor network. The higher-order tensor renomalization group (HOTRG) method is used to coarse grain the weight tensor in the tensor network representation of the partition function. The renormalized tensor is then used to construct the approximated transfer matrix of an infinite strip of finite width. By diagonalizing the transfer matrix, we obtain the correlation length, magnetization, and energy density, which are used to determine the critical temperature and critical exponents in finite-size scaling analysis. The results show accurate determination of the critical temperature and critical exponents can be achieved.
Article
Chemistry, Physical
Meng Zhang, Yan Chen, Lan-Hong Dai
Summary: This study reports a universal scaling in the temperature-dependent viscous dynamics of metallic glasses, supporting the thermodynamic origin of glass formation and suggesting metallic glasses as an ideal research subject to understand the nature of glass transition.
JOURNAL OF PHYSICAL CHEMISTRY B
(2021)
Article
Physics, Multidisciplinary
Mehmet Ertas
Summary: This study explores the dynamic magnetic properties of a 2-dimensional kinetic spin-7/2 Ising system under an oscillating external magnetic field, including dynamic phase transitions and dynamic phase diagrams. The results show that the dynamic phase diagrams contain various fundamental phases and mixed regions, the characteristics of which depend strongly on interaction parameters.
Article
Mechanics
Muting Hao, Luca di Mare
Summary: Wall jets are commonly seen in various technological and scientific contexts. This article focuses on the scaling laws and self-similar profiles of three-dimensional wall jets in high-Reynolds-number limit. The derived scaling laws are tested on numerical and experimental data of film cooling devices. The results show that the velocity defect and Reynolds stress can be described by the scaling laws.
Article
Physics, Fluids & Plasmas
L. A. Fernandez, I. Gonzalez-Adalid Pemartin, V. Martin-Mayor, G. Parisi, F. Ricci-Tersenghi, T. Rizzo, J. J. Ruiz-Lorenzo, M. Veca
Summary: A growing body of evidence confirms the tenets of Bray and Roberts's theory by studying the Ising spin glass and its correlation length.
Article
Materials Science, Multidisciplinary
Sounak Biswas, Yves H. Kwan, S. A. Parameswaran
Summary: The study investigates models hosting fractal spin liquids on realistic 3D lattices, revealing differences in fractal structures and the use of matrix cellular automata compared to traditional models. By constructing low-energy excitations and conducting simulations, it is found that these excitations exhibit a logarithmic increase in energetic barriers with system size, leading to a "fragile" glassy dynamics.