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Shown are two distributions describing two different systems, both held at diffe

ID: 2077140 • Letter: S

Question

Shown are two distributions describing two different systems, both held at different tempertures T. One system obeys a Fermi-Dirac distribution, the other one a Bose-Einstein distribution. The horizontal axis show the particle energies, with the zero of energy at the origin, while the vertical axes show the distribution function f(E) , with the zero of this function at the origin.

(A) Which system is which?

(B) What can you say about the temperature of either system, such as it is very low, intermediate, or very high?

(C) Is one system superconducting? Is one system superfluid? Why, or why not, or why can you not tell?

(0,0 Energy tt---t-----------t --t. (0,0) Energy

Explanation / Answer

(A)

Graph 1 refers to BE system and Graph 2 refers to FD system.

(B)

Temperature of either system is low, For higher temperatures the graph for FD system will not be 'Box' like in appearence. For higher temperatures the BE system will behave like MB system with no peak at origin.

(C)

The BE system is in a state of condensation. Hence it will exhibit superfluidity and superconductivity. This is since majority of the particles of the system has zero energy (near the origin).

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