IJPAM: Volume 22, No. 1 (2005)

THE CRITICAL STATE OF A FLUID AND
HEISENBERG UNCERTAINTY PRINCIPLE

Eugen Grycko
Department of Mathematics
University of Hagen
Lützowstr. 125
Hagen, D-58084, GERMANY
e-mail: eugen.grycko@fernuni-hagen.de


Abstract.For a well-established microscopic model of a fluid the critical dispersion of its micro-constituents is motivated, introduced and explained as a standardization of the so-called thermodynamic dispersion. The visualization of the critical dispersion for different substances suggests its isotonic statistical dependence on the mass of the micro-constituents of fluids. The estimate of the coefficient of the linear regression reveals a connection between a microscopic aspect of the critical state and the Heisenberg uncertainty principle.

Received: May 3, 2005

AMS Subject Classification: 74A25, 74A60

Key Words and Phrases: critical dispersion, regression coefficient, Planck constant, Heisenberg uncertainty bound

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 22
Issue: 1