Editing Curie's law
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 32: | Line 32: | ||
:<math>\left\langle\mu\right\rangle = \mu P\left(\mu_n\right) - \mu P\left(\mu_n\right) | :<math>\left\langle\mu\right\rangle = \mu P\left(\mu_n\right) - \mu P\left(\mu_n\right) | ||
= {1 \over Z} \left( \mu e^{ \mu B\beta} - \mu e^{ - \mu B\beta} \right), </math> | = {1 \over Z} \left( \mu e^{ \mu B\beta} - \mu e^{ - \mu B\beta} \right), </math> | ||
where the probability of a configuration is given by its | where the probability of a configuration is given by its Boltzmann factor, and | ||
the partition function provides the necessary normalization for probabilities | the partition function provides the necessary normalization for probabilities | ||
(so that the sum of all of them is unity.) A standard procedure is to express | (so that the sum of all of them is unity.) A standard procedure is to express | ||
Line 54: | Line 54: | ||
leading to | leading to | ||
:{{resultbox|<math>\mathbf{M}(T\rightarrow\infty)={N\mu^2\over k_B}{\mathbf{B}\over T}</math>}} | :{{resultbox|<math>\mathbf{M}(T\rightarrow\infty)={N\mu^2\over k_B}{\mathbf{B}\over T}</math>}} | ||
== More Involved Derivation (Statistical Mechanics) == | == More Involved Derivation (Statistical Mechanics) == |