Topic
Integer lattice
About: Integer lattice is a research topic. Over the lifetime, 2548 publications have been published within this topic receiving 44162 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: Under a structural hypothesis, it is proved that a weighted $\mathbb{L}^2$-norm of the solutions to the linearized lattice Boltzmann method is decreasing with time.
Abstract: This article is concerned with the linearized stability of the lattice Boltzmann method both on periodic domains and on bounded domains with the bounce-back rule used at the boundaries. Under a structural hypothesis, we prove that a weighted $\mathbb{L}^2$-norm of the solutions to the linearized lattice Boltzmann method is decreasing with time. Moreover, we show that the structural hypothesis holds true for many lattice Boltzmann models.
48 citations
TL;DR: In this article, the Helly number of d-dimensional convex lattice sets is only d+1, where d is the number of points common to at least βn of the lattice points in a convex set.
48 citations
Journal Article•
TL;DR: In this paper, a numerical study of the SU(3) Heisenberg model of three-flavor fermions on the triangular and square lattice by means of the density-matrix renormalization group and infinite projected entangled-pair states is presented.
Abstract: We present a numerical study of the SU(3) Heisenberg model of three-flavor fermions on the triangular and square lattice by means of the density-matrix renormalization group and infinite projected entangled-pair states. For the triangular lattice we confirm that the ground state has a three-sublattice order with a finite ordered moment which is compatible with the result from linear flavor wave theory (LFWT). The same type of order has recently been predicted also for the square lattice [T. A. Toth et al., Phys. Rev. Lett. 105, 265301 (2010)] from LFWT and exact diagonalization. However, for this case the ordered moment cannot be computed based on LFWT due to divergent fluctuations. Our numerical study clearly supports this three-sublattice order, with an ordered moment of m = 0.2-0.4 in the thermodynamic limit.
47 citations
TL;DR: In this paper, it was shown that there exists a unique pair (E ,) where E is an Archimedean vector lattice and ǫ is a symmetric lattice s-morphism.
Abstract: Let s ∊ {2.3,…} and E be an Archimedean vector lattice. We prove that there exists a unique pair (E ,), where E is an Archimedean vector lattice and :E× ··· ×E (s times) → E is a symmetric lattice s-morphism, such that for every Archimedean vector lattice F and every symmetric lattice s-morphism T:E × ··· × E (s times) → F, there exists a unique lattice homomorphism T :E → F such that T = T ○. We give two approaches to construct (E ,) based on f-algebras and functional calculus, respectively, provided that E is also uniformly complete.
47 citations
Journal Article•
47 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 9 |
| 2023 | 24 |
| 2022 | 32 |
| 2021 | 59 |
| 2020 | 64 |