in this paper, the hartree-fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. the bare coulomb interaction between electrons has been assumed. for this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...

Generation of magnetic field energy, without mean field generation, is studied. Isotropic mirror-symmetric turbulence of a conducting fluid amplifies the energy of small-scale magnetic perturbations if the magnetic Reynolds number is high, and the dimensionality of space d satisfies 2.103 < d < 8.765. The result does not depend on the model of turbulence, incompressibility and isotropy being th...

A treatment of internally constrained mixtures of elastic continua at a common temperature is de­ veloped. Internal constraints involving the defonnation gradient tensors and the common mixture temperature are represented by a constraint manifold, and an internally constrained mixture ofelastic continua is associated with each unique equivalence class ofunconstrained mixtures. The example of in...

We prove a general lower bound on the average-case complexity of Shellsort: the average number of data-movements (and comparisons) made by a p-pass Shellsort for any incremental sequence is Ω(pn) for every p. The proof method is an incompressibility argument based on Kolmogorov complexity. Using similar techniques, the average-case complexity of several other sorting algorithms is analyzed.

Faceted polymer microcapsules are prepared from metal-organic framework (MOF) templates. The MOF templates are removable under mild aqueous conditions. The obtained microcapsules are stiffer than their spherical counterparts, reflecting the near-incompressibility of the facet edges, and indicating that the faceting might be a useful strategy for controlling the mechanical properties of polymer ...

In this paper we study the Kolmogorov Complexity of a Binary Insertion Tree. We obtain a simple incompressibility argument that yields an asymptotic analysis of average tree height. This argument further implies that the QuickSort algorithm sorts a permutation of n elements in Θ(n log n) comparisons on average.

Received (received date) Revised (revised date) A generalized parameterization of the Skyrme effective force is discussed. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter. In particular, it is shown that an enlarged density dependence based on two terms allows to choose independently the incompressibility and the isoscalar effective mass.

Particle-based fluid simulations have become popular in computer graphics due to their natural ability to handle free surfaces and interfaces, splashes and droplets, as well as interaction with complex boundaries. However, particle methods have some disadvantageous properties degrading the physical behavior of a simulated fluid and thus the resulting visual quality. Although these problems are ...