Linear spin wave theory provides the leading term in the calculation of the excitation spectra of long-range ordered magnetic systems as a function of 1/√S. This term is acquired using the Holstein-Primakoff approximation of the spin operator and valid for small δS fluctuations of the ordered moment. We propose an algorithm that allows magnetic ground states with general moment directions and s...

An incidence algebra of a nonlocally finite partially ordered set Q is a very rare concept, perhaps nonexistent. In this note, we will attempt to construct such an algebra. 1. Introduction. Let P be a partially ordered set (poset) and K a field of characteristic 0. The functions f : P × P → K, such that x y implies f (x,y) = 0, are called the incidence functions of P over K. The set of such fun...

We formulate Yang–Mills theory in terms of the large-N limit, viewed as a classical limit, of gauge-invariant dynamical variables, which are closely related to Wilson loops. We obtain a Poisson algebra of these dynamical variables corresponding to normal-ordered quantum (at a finite value of h̄) operators. Comparing with a Poisson algebra one of us introduced in the past for Weyl-ordered quantum...

We describe a method to discriminate between ordered and turbulent behavior in a general class of collective systems Ž . known as Globally Coupled Maps GCM . Our method is able to discover an unknown small ordered region inside the turbulent phase of GCM parameter space. The computational nature of the method is the main novelty of our approach; it is another example of how measures based on co...

We study statistics on ordered set partitions whose generating functions are related to p, q-Stirling numbers of the second kind. The main purpose of this paper is to provide bijective proofs of all the conjectures of Steingŕımsson(Arxiv:math.CO/0605670). Our basic idea is to encode ordered partitions by a kind of path diagrams and explore the rich combinatorial properties of the latter structu...

The Hahn-Banach theorem is one of the most fundamental theorems in the functional analysis theory. This theorem is well known in the case where the range space is the real number system as follows. Let p be a sublinear mapping from a vector space X into the real number system R, Y a subspace of X, and q a linear mapping from Y into R such that q ≤ p on Y. Then there exists a linear mapping g fr...

Temperature-dependent acoustic loss Q−1 is studied in partially disordered langasite (LGS, La3Ga5SiO14) and ordered catangasite (CTGS, Ca3TaGa3Si2O14) crystals compared with previously reported CTGS langatate (LGT, La3Ga5.5Ta0.5O14) data. Two independent techniques, a contactless tone-burst excitation technique contacting resonant piezoelectric spectroscopy, are used this study. Contributions t...

In this paper, first, we state an operator LR on ordered semihyperring R. We show that if φ:R⟶T is a monomorphism and K⊆R, then LT(φ(K))=φ(LR(K)). Afterward, hyperatom elements in semihyperrings are defined some results respect investigated. Denote by A(R) the set of all hyperatoms prove R finite |R|≥2, for any q∈R\{0}, there exists hq∈A*(R)=A(R)\{0} such hq≤q. Finally, study LR-graph give exam...

We analyze the ordered state of nuclear spins embedded in an interacting two-dimensional electron gas (2DEG) with Rashba spin-orbit interaction (SOI). Stability of the ferromagnetic nuclear-spin phase is governed by nonanalytic dependences of the electron spin susceptibility χ on the momentum (q̃) and on the SOI coupling constant (α). The uniform (q̃ = 0) spin susceptibility is anisotropic (with ...

Nucleation in the two-dimensional q-state Potts model has been studied by means of Monte-Carlo simulations using the heat-bath dynamics. The initial metastable state has been prepared by magnetic quench of the ordered low-temperature phase. The magnetic field dependence of the nucleation time has been measured as the function of the magnetic field for different q and lattice sizes at T = 0.5Tc....