{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

md2011-05-note_Part_2

# md2011-05-note_Part_2 - C E NVT I In canonical ensemble the...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: C E ( NVT ) I In canonical ensemble the system is closed, but not heat-isolated. I Instead, it is immersed in a large heat bath. I Now the occupation probabilities follow the Boltzmann distribution: p i = 1 Q e- E i / ( k B T ) = e-( E i- A ) / ( k B T ) . (3) I Normalizing factor, Q , is the partition function of the canonical ensemble: Q ( N , V , T ) = e- β A ( N , V , T ) , β ≡ 1 / k B T . (4) Notes I Helmholtz free energy, A , measures the useful work obtainable from an NVT system: A ≡ U- TS . (5) I All other thermodynamic quantities are directly accessible from A . For example: I Entropy is S = - ∂ A ∂ T V , (6) I and pressure is P = - ∂ A ∂ V T . (7) I Gibbs free energy is G = A + PV . Notes G C E ( μ VT ) I In grand canonical ensemble, the constraints are chemical potential μ , volume V and temperature T . I In other words, the system is inside a heat bath with “leaky” walls which let particles through....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

md2011-05-note_Part_2 - C E NVT I In canonical ensemble the...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online