Consider a nonrelativistic free particle in a cubic container of edge length l and volume v = l^3. the system is in thermal equlibrium at temperature t.
1) show the dispersion (ae) of gas energy is related to the disperesion (ap)2 of gas pressure by (ap) (ae) .
2) from the partition function of the gas, and using the relation obtained from 1), show the dispersion (ap)2 is given by (ap) 2kbt op 3v t
3) find the dispersion (ae) of gas energy in the fixed volume du tds, dv = 0) from the fluctuation dissipation theorem and show the above relation.

speed

ratio of distance traveled to time interval

net force

vector sum of forces on object

object

source of diverging light rays either luminous or illuminated

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