Article
Optics
Piotr Zdybel, Mateusz Homenda, Andrzej Chlebicki, Pawel Jakubczyk
Summary: This paper revisits the stability of nonuniform superfluid states of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type to thermal and quantum fluctuations. It argues that Lifshitz points are not stable to fluctuations for isotropic, continuum systems, but can occur in layered unidirectional systems at d = 5/2. The paper proposes a method to compute critical exponents and points out the possibility of a quantum Lifshitz point in imbalanced Fermi mixtures.
Article
Physics, Fluids & Plasmas
Jozef Genzor
Summary: The critical behavior of Ising model on a fractal lattice with Hausdorff dimension log4 12 1.792 was studied using a modified higher-order tensor renormalization group algorithm and automatic differentiation. The complete set of critical exponents for the second-order phase transition was obtained. Analysis of correlations near the critical temperature was done by inserting two impurity tensors into the system, allowing the calculation of correlation lengths and the critical exponent v. The derived exponents satisfy known scaling relations with reasonable accuracy, and the hyperscaling relation is well satisfied assuming the Hausdorff dimension replaces the spatial dimension.
Article
Astronomy & Astrophysics
Yannick Kluth, Daniel F. Litim
Summary: We use the functional renormalization group to study quantum effects in higher curvature extensions of general relativity. New flow equations for general classes of models involving Ricci scalar, Ricci tensor, and Riemann tensor interactions are derived. The asymptotic safety conjecture for quantum gravity is tested using polynomial Riemann tensor interactions and their functions. We identify interacting fixed points, universal scaling dimensions, gaps in eigenvalue spectra, quantum equations of motion, and de Sitter solutions using various approximation methods and numerical integration. We discuss the relevance of our findings for quantum gravity and the asymptotic safety conjecture.
Article
Materials Science, Multidisciplinary
Xiaojun Yang, Junxiao Pan, Xiangyu He, Leiming Cao, Yan Cao, Yaping Tao
Summary: The magnetic properties of EuSn2P2, a potential axion insulator, were comprehensively studied. It was found that under an applied external field, the antiferromagnetic phase is driven to a forced ferromagnetic state. The material exhibited weak itinerant forced ferromagnetism with a relatively large magnetocrystalline anisotropy. The critical behavior analysis confirmed a three-dimensional critical behavior and a tricritical point was determined on the phase diagram.
Article
Statistics & Probability
Philippe Sosoe, Lily Reeves
Summary: We estimate the distance inside two-dimensional critical percolation clusters from the origin to the boundary of the box of side length 2n, conditioned on the existence of an open connection. We construct a path gamma and estimate the three-arm probability to obtain a bound on the existence of shortcuts around an edge in the box.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2022)
Article
Physics, Fluids & Plasmas
Andrzej Chlebicki, Pawel Jakubczyk
Summary: We investigate the critical behavior and nature of the low-temperature phase of O(N) models, treating N and d as continuous variables. We focus on the d2 and N2 quadrant of the (d, N) plane. We find a region where the low-temperature phase exhibits an algebraic correlation function decay similar to the Kosterlitz-Thouless phase, but with a temperature-independent anomalous dimension α. Furthermore, we explore the consequences of the Cardy-Hamber analysis in d < 2, discussing how it leads to the destabilization of long-range order in favor of a quasi-long-range order.
Article
Materials Science, Multidisciplinary
Xiaojun Yang, Junxiao Pan, Weizhuo Gai, Yaping Tao, Hong Jia, Leiming Cao, Yan Cao
Summary: The critical properties and magnetic entropy change of quasi-two-dimensional LaCrSb3 single crystals were systematically investigated. The critical exponents indicate a three-dimensional critical behavior and the magnetic entropy change exhibits strong anisotropic features.
Article
Physics, Applied
Tuncer Kaya
Summary: In this work, the critical coupling strengths of Ising lattices with changing lattice structure are obtained using a modified real space renormalization group approach. The physically untractable interactions in the renormalized Hamiltonian are solved with a proper approximation. The modified RG approach provides accurate estimations for the critical coupling strengths of different Ising lattices.
MODERN PHYSICS LETTERS B
(2022)
Article
Engineering, Biomedical
J. Alvarez-Ramirez, E. Rodriguez
Summary: The Cooper's test is an indirect method to estimate VO2,max by evaluating the maximum distance covered in 12 min of exhaustive physical activity. A study derived the Cooper equation from a model based on energy conservation and Newton's second law, showing it to be a specific case of a broader equation validated with existing field data. The conclusion is that the Cooper's equation is valid within a limited range of distances covered by the 12 min Cooper's test.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL
(2021)
Article
Astronomy & Astrophysics
Guo-yuan Huang, Shun Zhou
Summary: This paper calculates the running fermion masses by considering both experimental results and theoretical calculations, quantifying uncertainties and identifying two main sources of uncertainties, as well as highlighting correlations among running parameters in some cases. The final results of running fermion masses at several representative energy scales are provided for further applications.
Article
Mechanics
L. Djenidi, R. A. Antonia, S. L. Tang
Summary: In the theory of fluid turbulence, mathematical constraints regarding longitudinal velocity increment moments and scaling exponents can be obtained using Holder's inequality and the Cauchy-Schwarz inequality. These results should guide the development of new theoretical and modeling approaches to ensure they are consistent with the constraints imposed by Holder's inequality.
Article
Materials Science, Multidisciplinary
Martin Hasenbusch
Summary: This study investigates the universal properties of the three-dimensional Ising universality class through a study of the Blume-Capel model, quantifying spatial anisotropy and determining critical exponents. The findings from finite-size scaling analysis and measurement of critical exponents are in good agreement with more accurate results obtained from the conformal bootstrap method.
Article
Chemistry, Inorganic & Nuclear
M. Arejdal
Summary: This research paper focuses on studying a nanomaterial model with a spin vector amplitude of 5/2 and investigating its magnetic properties, magnetocaloric effect, and critical exponents. Through the use of the Monte Carlo method, it was determined that the magnetic transition was of second order with a Curie temperature of TC = 14.46 K. The maximum magnetic entropy change (Delta SM) of 3.53 J kg-1K-1, large Relative Cooling Power (RCP) of 32.67 J kg-1, and corresponding maximum Refrigeration Capacity (RC) of 24.50 J kg-1 were established under an 8 T magnetic field. The critical exponents beta, gamma, and delta revealed that the nanomaterial model belonged to the two-dimensional (2D) Ising model with long-range interaction.
Article
Astronomy & Astrophysics
N. K. Nielsen
Summary: This paper calculates the effective potential of the standard model of electroweak unification at two-loop order, considering a linear gauge with two massless and two massive gauge fixing parameters. It is found that the divergent and logarithmic terms involving the massive gauge parameters are determined by the gauge parameter identities. Additionally, the renormalization group method for summing logarithms is shown to be applicable at scales below that of the massive gauge parameters.
Article
Astronomy & Astrophysics
Yong-rui Chen, Rui Wen, Wei-jie Fu
Summary: In this study, the QCD phase structure and critical dynamics related to the 3-d O(4) and Z(2) symmetry universality classes were explored using the functional renormalization group approach. Critical exponents were calculated and it was found that the size of the critical regime in the QCD phase diagram is very small. The results obtained are in quantitative agreement with those from other approaches such as the conformal bootstrap, Monte Carlo simulations, and d = 3 perturbation expansion.
