The basic gas law for a perfect gas is

(1)

** V** = volume of the gas

and

(2)

where (3)

represents the average kinetic energy of a molecule
of mass ** m** in any direction, i.e., the average for the three
Cartesian co-ordinates

The distribution of molecular speeds was derived by

(4)

where For a given gas at a fixed temperature ** T**
, the probability density

*r (v) µ
exp(-v ^{2} ) v^{2}*

(5)

A graph of

(6)

(7)

(8)

(9)

(10)

where ** z** is the size scale ratio
equal to

(11)

where ** k** is a constant equal to

*W »
log z*

(12)

A graph of ** f ^{3}** versus

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Selvam, A. M. and A. S. R Murty, 1985: Numerical
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Selvam A. M., 1988: The dynamics of non-linear effects
in optical processes, *Journal of Luminescence* **40 & 41**,
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Selvam A. M., 1989: A cell dynamical system model
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Selvam, A. M. 1990: Deterministic chaos, fractals
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Selvam, A. M., J. S. Pethkar and M. K. Kulkarni,
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Selvam, A. M. 1993: Universal quantification for
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Selvam, A. M. and R. R. Joshi, 1995: Universal spectrum
for interannual variability in COADS global air and sea surface temperatures,
*Int'l.
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Selvam, A. M., J. S. Pethkar, M. K. Kulkarni and
R. Vijayakumar, 1996: Signatures of a universal spectrum for atmospheric
interannual variability in COADS surface pressure time series, *Int'l.
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Selvam, A. M. 1997: Universal quantification for
self-organized criticality in atmospheric flows, Proc*. Conf. Patterns,
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Systems*, October 24-28, Budapest, Hungary. http://xxx.lanl.gov/abs/chao-dyn/9710004
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for interannual variability of rainfall over India and Scotland, Proceedings
,* National Space Science Symposium*, Physical Research Laboratory,
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Selvam, A. M., 1998: Quasicrystalline pattern formation
in fluid substrates and phyllotaxis, In *Symmetry in Plants*, D. Barabe
and R.V. Jean (Editors), World Scientific Series in Mathematical Biology
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a universal spectrum for atmospheric interannual variability in some disparate
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Selvam, A. M. and Suvarna Fadnavis, 1999a: The dynamics
of fullerene structure formation : order out of chaos phenomenon, Accepted
for publication in *FRACTALIA*, Romania . http://xxx.lanl.gov/abs/physics/9909052
.

Selvam, A. M., 1999: Cantorian fractal spacetime
and quantum-like chaos in neural networks of the human brain, *Chaos,
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.

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.

Selvam, A.M. and Suvarna Fadnavis, 1999c: A superstring
theory for fractal spacetime, chaos and quantumlike mechanics in atmospheric
flows, *Chaos, Solitons and Fractals* **10(8)**, 1321-1334. http://xxx.lanl.gov/abs/chao-dyn/9806002
.

Selvam, A. M., D. Sen and S. M. S. Mody, 2000: Critical
fluctuations in daily incidence of acute myocardial infarction, *Chaos,
Solitons and Fractals ***11(8)**,
1175 - 1182. http://xxx.lanl.gov/abs/chao-dyn/9810017
.

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