Can you explain the fugacity of boson gas in Bose-Einstein Condensation?

In summary, Bose-Einstein Condensation is a phenomenon that occurs when the temperature of Bosons falls below a critical temperature, resulting in all the Bosons entering the condensed phase. However, at temperatures between 0K and T_{c}, there is a mixture of an ideal Boson gas and condensed bosons. In this case, the fugacity of the boson gas is 1, as the chemical potential is 0. The density of non-condensed bosons becomes a function of temperature only when T<Tc.
  • #1
Ang Han Wei
9
0
Hi,
my course just provided an introduction to Bose-Einstein Condensation.

I was told that this phenomenon occurs when the temperature of Bosons go under a certain critical temperature [itex]T_{c}[/itex] > 0K. At absolute zero, all the Bosons go into the condensed phase.

However, at temperatures between 0K and [itex]T_{c}[/itex], there is a mixture of an ideal Boson gas and condensed bosons.

What then is the fugacity of the boson gas in such an instance?
 
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  • #2
The chemical potential is exactly 0, which corresponds to fugacity 1, I suppose. Hence the density of non-condensed bosons becomes a function of T, only for T<Tc.
 

What is Bose Einstein Condensation?

Bose Einstein Condensation is a phenomenon that occurs in certain materials at extremely low temperatures. It is characterized by a large number of particles occupying the same quantum state, resulting in a collective behavior and unique physical properties.

How is Bose Einstein Condensation achieved?

Bose Einstein Condensation is achieved by cooling a gas of bosons (particles with integer spin) to a temperature close to absolute zero. This causes the particles to lose their individual identities and form a single entity with a wave-like behavior.

What are the applications of Bose Einstein Condensation?

Bose Einstein Condensation has significant applications in the fields of quantum computing, superfluidity, and precision measurements. It also allows for the creation of new states of matter with unique properties.

What is the difference between Bose Einstein Condensation and regular condensation?

The main difference between Bose Einstein Condensation and regular condensation is the temperature at which they occur. Regular condensation, such as the formation of water droplets, happens at relatively higher temperatures, while Bose Einstein Condensation occurs at extremely low temperatures near absolute zero.

Can Bose Einstein Condensation occur in all types of particles?

No, Bose Einstein Condensation can only occur in particles with integer spin, such as bosons. Particles with half-integer spin, such as fermions, do not exhibit this phenomenon due to the Pauli exclusion principle.

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