Conference publications

Abstracts

XIII conference

Computer simulation of transport process of admixture inside closed volume

Babarin S.S.

Russia, 127994, Moscow, Vadkovskij side street., 1, MSTU «STANKIN», Phone: (095) 973-30-76, 973-30-66; Fax: (095) 973-3071; (095) 973-3885; (095) 973-3167

One of the most interesting effects in modern physics is the so-called Casimir force that appears when we have two parallel plates, that are idealized smooth and are apart of each other by hundredth lobes of micrometer. We use cubes and parallelepipeds as an object of investigation. The task of investigation is to find the dependences in particles interactions, estimate the properties of closed dynamic system, its characteristics, and find out the influence of Casimir force on the evolution of current dynamic system. Admixtures, in our case are molecules of the gas, like nitrogen, hydrogen and helium. Simulation model is based on the algorithm, equal to the algorithm of Verle [1] for the numerical integration of nonlinear Newton’s differential equations that describe trajectory, speed and acceleration of molecules in every point of time. We also use methods of direct numerical simulation, Monte-Karlo and molecular dynamics.

m(dVi/dt)=fi (1)

where index means the number of a particle, and right side of the equation is an additive quantity that includes gradient of the Lennard-Jones potential and Casimir force. For the simulation of moving of the molecules we use the relative moves, depending of the orientation in volume in every point of time. Currently, we suppose interactions between two molecules that stand on a minimal distance. Reflections on volume sides are specular and diffuse, depending on a start conditions. Current model allows us to estimate many of numerical changes, like speed distributions, pressures, impulses that stream of molecules brings to the sides of volume; actions of Casimir force and its influence to the trajectory of admixtures and type of interactions. Particularly, we’ve got dependencies of trajectories of molecules on type of reflections on the sides of the volume when Casimir force is acting, deviations from direct movement of molecules versus the volume and free length.

The author would like to thank Doctor of Physical and Mathematical Science, professor Uvarova L.A. for the useful discussions of current work.

Literature

1. Porshnev S.V. Computer simulation of physical systems using MathCAD, Moscow, Hotline – Telecom, 2004, page 74