We investigate the saturation of defect density in an atomic Bose gas rapidly cooled into a superfluid phase. The number quantum vortices, which are spontaneously created quenched gas, exhibits Poissonian distribution not only for slow quench Kibble-Zurek (KZ) scaling regime but also fast case mean vortex is saturated. This shows that caused by destructive collisions, early-time coarsening emer...

Organic fertilizers‟ usage enhances crop productivity and improves soil fertility the surrounding environment in livestock complexes. The presented study assessed effect of biofertilizers poultry-based organic fertilizers on rhizospheric microbial diversity, yield attributes, spring barley (Hordeum vulgare L.). Conducting field experiments started 2021 Northern Kazakhstan's Southern carbonated ...

We pursue the definition of a KZ-doctrine in terms of a fully faithful adjoint string Dd ⊣ m ⊣ dD. We give the definition in any Gray-category. The concept of algebra is given as an adjunction with invertible counit. We show that these doctrines are instances of more general pseudomonads. The algebras for a pseudomonad are defined in more familiar terms and shown to be the same as the ones defi...

We here report coherent reflection of thermal He atom beams from various microscopically rough surfaces at grazing incidence. For a sufficiently small normal component kz of the incident wavevector of the atom the reflection probability is found to be a function of kz only. This behavior is explained by quantum-reflection at the attractive branch of the Casimir-van der Waals interaction potenti...

Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of this paper we extend this operator algebra to include the so-called orbifold Virasoro algebra of each WZW permutation orbifold. These algebras generalize the orbifold Virasoro algebras (twisted Virasoro operators) found ...

Let G be a free product of a finite family of finite groups, with the set of generators being formed by the union of the finite groups. We consider a transient nearest-neighbor random walk on G. We give a new proof of the fact that the harmonic measure is a special Markovian measure entirely determined by a finite set of polynomial equations. We show that in several simple cases of interest, th...

We show that for integers k ≥ 2 and n ≥ 3, the diameter of the Cayley graph of SLn(Z/kZ) associated to a standard two-element generating set, is at most a constant times n 2 ln k. This answers a question of A. Lubotzky concerning SLn(Fp) and is unexpected because these Cayley graphs do not form an expander family. Our proof amounts to a quick algorithm for finding short words representing eleme...

Different from ordinary AC machines, the design of a bearingless permanent magnet slice motor (BPMSM) considers not only torque performance, but also passive and active suspension properties. In addition, BPMSM for maglev centrifugal pump has unique characteristics due to integration head sensors. This paper investigates evaluation techniques based on cluster performance metrics targeting devel...