IJPAM: Volume 71, No. 3 (2011)
THROUGH THE HARD DISK FLUID
Department of Mathematics and Computer Science
University of Hagen
125, Luetzowstr., D-58084, Hagen, GERMANY
90, Thingslindestr., D-58566, Kierspe, GERMANY
Abstract. A local compression of the hard disk fluid is interpreted as an ultrasonic wave. The application of the kernel method from Nonparametric Statistics enables us to observe and to quantitatively evaluate the propagation of the wave in a molecular-acoustic simulation experiment. The sound velocity can be estimated by an application of the regression method to computer experimental data. A correction of a formula for the sound velocity known from Fluid Mechanics is proposed. We also report on a molecular-kinetic computer experiment in which the reflexion of a sound wave is observed.
Received: June 30, 2011
AMS Subject Classification: 82B30, 70F99, 76Q99
Key Words and Phrases: kernel density estimator, molecular acoustics, linear regression
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395