This paper discusses the stochastic nuclear spin generator systems under the influence of white noise. We prove the existence of a unique solution and a stationary distribution for stochastic nuclear spin generator systems. We analyze long-time behaviour of random attractor of the distributions of the solutions. Furthermore, we prove that the random attractor contains of only one point for part...

A formula for the single transverse spin asymmetry in the large-pT pion production in the nucleon-nucleon collision is derived. We focuss on the chiral-odd contribution where the transversity distribution and the chiral-odd spin-independent twist-3 distribution contributes. This contribution is expected to give rise to a large effect at xF → −1. PACS numbers: 12.38.-t, 12.38.Bx, 13.85.Ni, 13.88...

We develop a numerical framework for the quantum analogue of the “classical” lattice Boltzmann method (LBM), with the Maxwell-Boltzmann distribution replaced by the Fermi-Dirac function. To accommodate the spin density matrix, the distribution functions become 2× 2-matrix valued. We show that the efficient, commonly used BGK approximation of the collision operator is valid in the present settin...

We present an estimate of a chiral-odd contribution to the single transverse spin asymmetry in the large-pT pion production in the nucleon-nucleon collision. In this contribution the transversity distribution and the chiral-odd spin-independent twist-3 distribution appear. Because of the smallness of the corresponding hard cross section, this term turned out to be negligible in all kinematic re...

When graphene is placed on a substrate of heavy metal, the Rashba spin-orbit interaction of substantial strength can occur. In an open system such as a quantum dot, the interaction can induce spin polarization. Would classical dynamics have any effect on the spin polarization? Here we consider the quantum-dot setting, where the Rashba interaction is confined within the central scattering region...

mation about the Collins and Sivers mechanisms, which are signals for the transverse parton distribution function hq1 in convolution with the Collins fragmentation function H⊥,q 1 , and of the Sivers distribution function f ⊥,q 1T with the spin-averaged fragmentation function Dh q , respectively. Furthermore, both the momentum and helicity distributions of the strange quark sea have been extrac...

The method for treating the evolution of the density matrix developed in the accompanying paper for many-spin systems is applied here for calculating magnetic resonance signals of a spin A interacting with a bath of N identical spins B. Spins B are assumed to have much smaller gyromagnetic ratios than the spin A ~e.g., the former are nuclear spins, I and the latter is an electron spin, S!. The ...