md2011-05-note_Part_2

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

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
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

This note was uploaded on 02/14/2012 for the course CSE 6590 taught by Professor Kotakoski during the Winter '12 term at York University.

Page1 / 5

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

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online