Question

Show that $\langle E^2 \rangle =\frac1{Z}\frac{\partial^2 Z}{\partial \beta^2}-\frac1{Z^2}\left(\frac{\partial Z}{\partial \beta}\right)^2$

score 396 · Answer 1 · 2017-01-19 15:44:58

396

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List Question

Show that $\langle E^2 \rangle =\frac1{Z}\frac{\partial^2 Z}{\partial \beta^2}-\frac1{Z^2}\left(\frac{\partial Z}{\partial \beta}\right)^2$

Molecular Zipper Problem - Approximation Issue

Re-writing kinetic energy term by using Euler's homogeneous function theorem

Feynman's path-integral - derivation of the average of energy estimator over probability distribution

How many ways to arrange N identical objects around a circle of size L.

Computing mutual information for variables satisfying linear SDEs

A correlation inequality of the Ising Model

Statistical Mechanics References

Can a Markov process be ergodic but not stationary?

Use the forces to find Q

Ergodicity of $\mu^0_\beta$ on a particular $\sigma$-algebra (Ising Model)

Conditional expectation of a continuous time Markov jump process over paths

When is the Gaussian smoothed version of a function the same as the original function?

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