Explain the exact notion of an ensemble

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An ensemble in statistical mechanics refers to a collection of systems that share certain macroscopic properties. In a canonical ensemble, systems can exchange energy with a heat reservoir, which maintains a constant temperature. This fixed temperature is crucial as it allows for the accurate calculation of thermodynamic properties and the behavior of particles within the ensemble. The two main constraints of a canonical ensemble are the normalization of the probability density and the fixation of the average Hamiltonian. Understanding these concepts is essential for deriving entropy and other thermodynamic quantities.
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Hi, can someone please explain the exact notion of an ensemble to me please?

In the canonical ensemble, how do ensembles exchange energy between one another?
what is the significance of keeping the temperature fixed?

thanks
 
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h0dgey84bc said:
Hi, can someone please explain the exact notion of an ensemble to me please?

In the canonical ensemble, how do ensembles exchange energy between one another?
what is the significance of keeping the temperature fixed?
I understand that the canonical ensemble that just elected the new Pope held lively exchanges. But you might want to check this out:

http://en.wikipedia.org/wiki/Canonical_ensemble

AM
 
The canonical ensemble assumes a heat reservoir for each statistical system from the ensemble and the continuous (thermal) energy change between the reservoir & the system insures constant temperature.

The 2 constraints which characterize the canonical ensemble are:

*normalization for the probability density/the density operator
*fixing of the average of the classical/quantum hamiltonian.

Then apply the axioms and get the entropy...

Daniel.
 
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