Thermodynamical and magnetic properties of the half-filled, two-site Hubbard model have been discussed within the framework of the Tsallis nonextensive statistics. The temperature dependence of the entropy, specific heat and magnetic susceptibility, and the magnetic-field dependence of the magnetization have been calculated for various values of the entropic index q: the result for q = 1 in the...

Fluid flow between adjacent tracheids is realized through bordered pits in the xylem of conifers. The pit has an extremely small size and a highly complex structure. This paper presents mesoscopic analytical method for relationship structure its hydraulic characteristics mathematical modeling using lattice Boltzmann (LBM) curved boundary treatment. Mongolian Scots pine were selected as research...

This paper introduces a two-stage method based on bio-inspired algorithms for the design optimization of class general Stewart platforms. The first stage performs mono-objective in order to reach, with sufficient dexterity, regular target workspace while minimizing elements’ lengths. For this problem, we compare three algorithms: Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Bo...

We consider the problem of guessing realization a random variable but under more general Tsallis’ non-extensive entropic framework rather than classical Maxwell–Boltzman–Gibbs–Shannon framework. both conditional in presence some related side information, and unconditional one where no such side-information is available. For types problem, moment bounds required number guesses are derived; here ...

Numerical investigation on the generality of nanoparticle velocity equation had been done on the previous published work. The three dimensional governing equations (continuity, momentum and energy) were solved using finite volume method (FVM). Parametric study of thermal performance between pure water-cooled and nanofluid-cooled are evaluated for volume fraction in the range of 1% to 4%, and na...

The mechanisms underlying the acute neurophysiological and behavioral effects of volatile organic compounds (VOCs) remain to be elucidated. However, the function of neuronal ion channels is perturbed by VOCs. The present study examined effects of toluene (TOL), trichloroethylene (TCE), and perchloroethylene (PERC) on whole-cell calcium current (ICa) in nerve growth factor-differentiated pheochr...

We introduce the theory of non-linear cosmological perturbations using the correspondence limit of the Schrödinger equation. The resulting formalism is equivalent to using the collisionless Boltzman (or Vlasov) equations which remain valid during the whole evolution, even after shell crossing. Other formulations of perturbation theory explicitly break down at shell crossing, e.g. Eulerean pertu...