Article
Physics, Particles & Fields
Tomas Kadavy, Karol Kampf, Jiri Novotny
Summary: The nonlocal order parameters of the QCD chiral symmetry breaking are studied using the Resonance chiral theory. The general form of these correlators is matched with various high energy constraints. The Resonance chiral theory is expanded with additional resonance multiplets and higher derivative operators to satisfy these constraints. The remaining parameters are constrained from lattice data. The pion-pole contribution to the muon g - 2 and the decay π^0 -> e^+e^- are discussed as phenomenological applications.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Mathematics, Applied
Jingwei Li, Rihui Lan, Yongyong Cai, Lili Ju, Xiaoqiang Wang
Summary: In this paper, a second-order semi-Lagrangian exponential time differencing method is proposed to solve the convective Allen-Cahn equation. The method efficiently solves the AC equation part using the exponential time differencing method with FFT-based fast implementation, and computes the transport equation part by combining the semi-Lagrangian approach with a cut-off post-processing within the finite difference framework. The MBP stability and convergence analysis of the fully discretized scheme are presented, along with extensive numerical tests in two and three dimensions to validate the theoretical results and demonstrate the performance of the scheme.
JOURNAL OF SCIENTIFIC COMPUTING
(2023)
Article
Physics, Particles & Fields
Tomas Brauner, Helena Kolesova
Summary: In this study, the free energy of the chiral soliton lattice state in quantum chromodynamics (QCD) under nonzero baryon chemical potential, temperature, and external magnetic field was computed using the next-to-leading order of chiral perturbation theory. The results serve as a consistency check for the previously established phase diagram of QCD at moderate magnetic fields and temperature and sub-nuclear baryon chemical potentials. Additionally, the magnetization carried by the domain wall and chiral soliton lattice at the next-to-leading order was determined.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Management
Xavier Cabezas, Sergio Garcia
Summary: This article studies the Simple Plant Location Problem with Order (SPLPO), a variant of the well-studied Simple Plant Location Problem (SPLP). The authors propose a heuristic method based on Lagrangian relaxation and demonstrate its good performance in providing efficient solutions for SPLPO. The article also explores the properties of the SPLPO model and extends them for solving the SPLPO problem.
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
(2023)
Article
Multidisciplinary Sciences
Merced Montesinos, Diego Gonzalez, Rodrigo Romero, Mariano Celada
Summary: The study presents off-shell Noether currents and potentials obtained from first-order general relativity described by n-dimensional Palatini and Holst Lagrangians, including the cosmological constant. By using corresponding Lagrangian and Noether identities, the currents are off-shell conserved and naturally lead to the definition of off-shell Noether charges. The theoretical framework is illustrated in static spherically symmetric and Friedmann-Lemaitre-Robertson-Walker spacetimes in four dimensions.
Article
Mathematics
Umara Kausar, Tooba Feroze
Summary: This article presents the formulation of first-order approximate Mei symmetries and Mei invariants of the corresponding Lagrangian. Theorems and determining equations are provided to evaluate approximate Mei symmetries and the approximate first integrals corresponding to each symmetry. The procedure is explained using the linear equation of motion of a damped harmonic oscillator (DHO), and the Mei symmetries corresponding to the Lagrangian and Hamiltonian of DHO are compared.
Article
Physics, Particles & Fields
Luca Di Luzio, Gioacchino Piazza
Summary: In this study, we discuss the construction of the two-flavour axion-pion effective Lagrangian at the next-to-leading order in chiral perturbation theory. As a phenomenological application, we calculate the decay rate of a GeV-scale axion-like particle via the alpha -> pi pi pi channel. Through the NLO calculation, we find the breakdown of the chiral expansion just above the kinematic threshold, indicating the need for alternative non-perturbative approaches to extend the chiral description of axion-pion interactions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Engineering, Multidisciplinary
H. Natarajan, P. P. Popov, G. B. Jacobs
Summary: The explicit semi-Lagrangian method based on Natarajan and Jacobs (2020) is used to solve stochastic differential equations consistent with Discontinuous Spectral Element Method (DSEM) approximations of Eulerian conservation laws, showing high-order accuracy and parallel performance. This method is effective in solving time-dependent problems described by Eulerian-Lagrangian formulations, such as those used in simulating turbulent flows or particle-laden flows.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Optics
Xijun Wu, Yue Feng, Chunyao Zhang, H. L. Liu
Summary: This study reports a three-dimensional chiral metasurface for phase control and beam steering, which can achieve abnormal reflection of left-circular polarized light (LCP) and mirror reflection of right-circular polarized light (RCP) in the near-infrared spectrum, providing a new possibility for chiral molecule detection.
Article
Mathematics, Applied
Sebastiano Boscarino, Seung Yeon Cho
Summary: This note presents local estimates with respect to small Knudsen numbers, helping to understand the phenomenon of order reduction in high order semi-Lagrangian schemes when the Knudsen number approaches zero.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Pan Gao, Keren Li, Shijie Wei, Gui-Lu Long
Summary: The article introduces a new quantum second-order optimization algorithm for general polynomials, which is faster than classical algorithms and first-order quantum gradient descent algorithms. This algorithm can be applied to a wider range of real applications compared to existing quantum Newton optimization algorithms that only work with homogeneous polynomials.
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
(2021)
Article
Mathematics, Applied
Philsu Kim, Seongook Heo, Dojin Kim
Summary: In this article, a comprehensive convergence and stability analysis is conducted for a semi-Lagrangian scheme used to solve nonlinear Burgers' equations. The scheme is iteration-free and involves the use of BDF2 for total derivative and fourth-order central finite difference for the diffusion term along the trajectory. The study thoroughly analyzes the order of convergence of the discrete l2-norm error by managing the relationship between the local truncation errors from each discretization procedure and the interpolation properties. Stability is ensured by the uniform boundedness of the numerical solution using the discrete Gronwall's Lemma. Numerical examples are provided to validate the theoretical analysis.
Article
Astronomy & Astrophysics
Yu Fu, Jacopo Ghiglieri, Shahin Iqbal, Aleksi Kurkela
Summary: We provide the first NLO weak-coupling description of the thermalization process in non-Abelian gauge theory and study the time evolution of isotropic systems towards thermal equilibrium. Numerical solutions of the QCD effective kinetic theory show that the NLO corrections reduce the time needed to reach thermal equilibrium.
Article
Mathematics, Applied
Zdenek Biolek, Viera Biolkova, Dalibor Biolek, Zdenek Kolka
Summary: This paper presents a predictive modeling method for generic memcapacitors using multi-port fundamental elements. The predictive model includes a multiport capacitor and an associated dynamic system to represent the state of the memcapacitor. Practical implementations of the model in selected scientific fields are demonstrated.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Physics, Fluids & Plasmas
Grzegorz Musial, Dorota Jeziorek-Kniola, Zbigniew Wojtkowiak
Summary: In this study, a Monte Carlo computer experiment was conducted to analyze first-order temperature-driven phase transitions using the Ashkin-Teller model as an example. Various properties such as magnetization, cumulants, internal energy, and latent heat were explored. The study expanded on the Lee and Kosterlitz concept for strong first-order phase transitions and utilized parallel processing and cluster algorithms for efficient computation.
