Article
Mathematics, Applied
Igor Travenec, Ladislav Samaj
Summary: This study investigates the Epstein zeta-function on a d-dimensional hypercubic lattice and analyzes the distribution of critical and off-critical zeros in different dimensions. Numerical calculations reveal patterns of zero distribution and behavior around critical points in the complex s-plane.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Physics, Fluids & Plasmas
Deepak Dhar, R. Rajesh
Summary: The study investigates the asymptotic behavior of entropy when fully covering a square lattice with rods of specific sizes in the limit of large k. The research reveals the conditions under which full coverage is possible and the basic flip moves between configurations. In the large k limit, per-site entropy tends towards a specific mathematical function.
Article
Physics, Mathematical
Hajime Koike, Hideki Takayasu, Misako Takayasu
Summary: This study focuses on the diffusion-localization transition and analyzes a nonlinear gravity-type transport model on a network called regular ring lattices. Exact eigenvalues are derived around steady states, and the transition points are evaluated for the control parameter characterizing the nonlinearity. The study also examines the Bethe lattice (or Cayley tree) and identifies a transition point of 1/2, the lowest value reported to date.
JOURNAL OF STATISTICAL PHYSICS
(2022)
Article
Mechanics
Pengyu Zhao, Jinhong Yan, Zhipeng Xun, Dapeng Hao, Robert M. Ziff
Summary: The asymptotic behavior of the percolation threshold and its dependence on the coordination number is investigated for both site and bond percolation on four-dimensional lattices with compact extended neighborhoods. The study provides insights into the behavior of the percolation threshold for different lattice structures.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Fluids & Plasmas
Qiwei Yu, Yuhai Tu
Summary: Nonequilibrium reaction networks (NRNs) underlie most biological functions. This study investigates the correlation of fluxes in NRNs at different coarse-grained levels using a renormalization group theory. The results show the existence of two types of fixed point solutions, a power-law fixed point and a trivial fixed point, depending on the correlation in the fine-grained network. The selection of the fixed point solution is determined by the exponent of the correlation. The findings are supported by numerical simulations.
Article
Mechanics
Jacopo De Nardis, Benjamin Doyon, Marko Medenjak, Milosz Panfil
Summary: This article reviews recent advances in exact results for dynamical correlation functions and related transport coefficients in interacting integrable models at large scales. The discussion includes topics such as Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response in equilibrium and non-equilibrium states. The authors consider the problems from the perspectives of the general hydrodynamic theory of many-body systems and form-factor expansions in integrable models, showing how they provide a comprehensive and consistent set of exact methods for extracting large scale behaviors. Various applications in integrable spin chains and field theories are also discussed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mathematics, Applied
Junhao Peng, Trifce Sandev, Ljupco Kocarev
Summary: This work examines the survival probabilities and first encounter time of fixed and mobile targets on different structures, revealing variations in survival strategies among different structures.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Computer Science, Information Systems
Junsheng Qiao
Summary: In this paper, the concepts of lattice-valued overlap and quasi-overlap functions introduced by Paiva et al. are further studied on complete lattices to extend the continuity of these operators. The study includes the introduction of overlap functions, construction methods, basic properties, (Λ, V) combination, migrativity, and homogeneity extension on complete lattices, and the discussion of cancelling properties. Additionally, similar discussions are provided for grouping functions on complete lattices.
INFORMATION SCIENCES
(2021)
Article
Physics, Mathematical
Yu-An Chen, Sri Tata
Summary: In this paper, we derive explicit formula for higher cup products on hypercubic lattices and demonstrate their applications in various models including (3+1)D SPT materials, the double-semion model, and the fermionic toric code. We also extend the constructions of exact boson-fermion dualities and the Gu-Wen Grassmann integral to arbitrary dimensions, and derive a cochain-level action for the generalized double-semion model.
JOURNAL OF MATHEMATICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Keiji Saito, Masaru Hongo, Abhishek Dhar, Shin-ichi Sasa
Summary: This study provides a microscopic derivation of fluctuating hydrodynamics using coarse-graining and projection techniques, highlighting the critical role of ensemble equivalence. The Green-Kubo-like formula for bare transport coefficients is presented in a computable form, showing their unique existence for each physical system within a sufficiently large but finite coarse-graining length in an infinite lattice.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Nicholas Weekes, Andrii Iurov, Liubov Zhemchuzhna, Godfrey Gumbs, Danhong Huang
Summary: The study generalizes the WKB semiclassical equations for pseudospin-1 alpha-T-3 materials and analyzes the transmission properties of electrons in these materials, investigating their relationships with energy gap, potential barrier slope, and electron transverse momentum. The results reveal a strong dependence of the transmission amplitude on the geometric phase of the material.
Article
Astronomy & Astrophysics
Markus Q. Huber, Wolfgang J. Kern, Reinhard Alkofer
Summary: We use contour deformations to investigate the analytic structure of three-point functions, allowing calculations to continue analytically from the spacelike to the timelike regime. We demonstrate how to deform the integration contour and cuts in the integrand to obtain the known cut structure of two-point functions. This method is then applied to one-loop three-point integrals, revealing the relevance of singular points in determining physical thresholds.
Article
Optics
O. Jamadi, B. Real, K. Sawicki, C. Hainaut, A. Gonzalez-Tudela, N. Pernet, I Sagnes, M. Morassi, A. Lemaitre, L. Le Gratiet, A. Harouri, S. Ravets, J. Bloch, A. Amo
Summary: The engineering of localized modes in photonic structures can be achieved by adding external optical drives with controlled phases in lattices of lossy resonators, allowing for the design of novel types of localized modes through interference effects.
Article
Physics, Multidisciplinary
Wen Li, Mert Okyay, Rafael Nepomechie
Summary: A probabilistic algorithm has been found for preparing Bethe eigenstates of the spin-1/2 Heisenberg spin chain on a quantum computer, but the success probability decreases exponentially with the chain length. Although it is feasible to compute antiferromagnetic ground-state spin-spin correlation functions for short chains, it is not possible for chains of moderate length.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Optics
Thomas Barthel, Qiang Miao
Summary: The research focuses on the behavior of entanglement entropies of eigenstates in quantum matter at different energies and subsystem sizes, as well as the universal scaling form in quantum critical regimes. By studying the harmonic lattice model, it is demonstrated how entanglement entropy follows different laws in various dimensions and how excited-state entanglement entropies are distributed around subsystem entropies of corresponding thermodynamic ensembles.