February 26, 2017

Homework Help: physics

Posted by esmat on Monday, June 13, 2011 at 5:35pm.

. Consider a large number, N(0)
, molecules contained in a volume V
. Assume that
there is no correlation between the locations of the molecules (ideal gas). Do not
use the partition function in this problem.
(a) Calculate the probability P (V; N) that an arbitrary region of volume V contains
exactly N molecules.
(b) Calculate the average value N¹
and the standard deviation of N.
(c) Show that if both V and V
(0) ¡ V are large, the function P (V; N) assumes a
Gaussian form for N close to N¹
(d) Show that if both V ¿ V
and N ¿ N(0)
, the function P (V; N) assumes a
Poisson form.

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