Timeline for Gibbs information and information theory
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 16, 2021 at 18:04 | comment | added | Andrew | @ViniciusHolmes The partition function is an integral over $x$ so therefore doesn't depend on $x$. Much like $Z=\int_{-\infty}^{\infty} dx e^{-x^2/2}=\sqrt{2\pi}$ doesn't depend on $x$. | |
| Feb 16, 2021 at 18:03 | comment | added | user252965 | Now, I see your point @Andrew. However, the partition function of reference [2] seems to be independent of $x$ in the examples discussed in the paper. Is that correct? | |
| Feb 16, 2021 at 17:57 | comment | added | Andrew | @ViniciusHolmes $x$ ranges over the configuration space, so in a gas it might label the positions and momenta of $10^{23}$ particles. The partition function $Z$ involves an integral over configuration space, so in the gas example $\int dx$ would be a multi-dimensional integral over all the positions and momenta (so integrating over a space with an enormous number of dimensions). | |
| Feb 16, 2021 at 17:14 | comment | added | user252965 | Hi @Andrew! Thanks for the clarifying answer!. In the light of the foregoing, what is the meaning of $x$ in $Z$? | |
| Feb 15, 2021 at 23:23 | history | edited | Andrew | CC BY-SA 4.0 |
deleted 21 characters in body
|
| Feb 15, 2021 at 23:12 | history | answered | Andrew | CC BY-SA 4.0 |