Skip to main content
Physics

Return to Question

Tweeted twitter.com/StackPhysics/status/868111726604148736
added 56 characters in body; edited title
Source Link
SRS
SRS
  • 27.2k
  • 12
  • 106
  • 341

Can we take $\sigma_N=\frac$\sigma^2_N=\frac{\kappa_T}{\beta V}N^2$ to be an example of the fluctuation-dissipation theorem?

In statistical mechanics, the relation $\sigma_E=k_BT^2C_v$$\sigma^2_E=\langle E^2\rangle-\langle E\rangle^2=k_BT^2C_v$ is interpreted ad one of the examples of fluctuation-dissipation theorem. The relative fluctuation in energy is directly related to the ability of the system to absorb (or dissipate) energy.

In grand canonical ensemble, one finds that the relative number fluctuation is given by $$\sigma_N=\frac{\kappa_T}{\beta V}N^2.$$$$\sigma^2_N=\langle N^2\rangle-\langle N\rangle^2=\frac{\kappa_T}{\beta V}N^2.$$ Can this be regarded as an example of the fluctuation-dissipation theorem? If yes, which quantity on the RHS is the dissipative term? And why?

Can we take $\sigma_N=\frac{\kappa_T}{\beta V}N^2$ to be an example of the fluctuation-dissipation theorem?

In statistical mechanics, the relation $\sigma_E=k_BT^2C_v$ is interpreted ad one of the examples of fluctuation-dissipation theorem. The relative fluctuation in energy is directly related to the ability of the system to absorb (or dissipate) energy.

In grand canonical ensemble, one finds that the relative number fluctuation is given by $$\sigma_N=\frac{\kappa_T}{\beta V}N^2.$$ Can this be regarded as an example of the fluctuation-dissipation theorem? If yes, which quantity on the RHS is the dissipative term? And why?

Can we take $\sigma^2_N=\frac{\kappa_T}{\beta V}N^2$ to be an example of the fluctuation-dissipation theorem?

In statistical mechanics, the relation $\sigma^2_E=\langle E^2\rangle-\langle E\rangle^2=k_BT^2C_v$ is interpreted ad one of the examples of fluctuation-dissipation theorem. The fluctuation in energy is directly related to the ability of the system to absorb (or dissipate) energy.

In grand canonical ensemble, one finds that the number fluctuation is given by $$\sigma^2_N=\langle N^2\rangle-\langle N\rangle^2=\frac{\kappa_T}{\beta V}N^2.$$ Can this be regarded as an example of the fluctuation-dissipation theorem? If yes, which quantity on the RHS is the dissipative term? And why?

Source Link
SRS
SRS
  • 27.2k
  • 12
  • 106
  • 341

Can we take $\sigma_N=\frac{\kappa_T}{\beta V}N^2$ to be an example of the fluctuation-dissipation theorem?

In statistical mechanics, the relation $\sigma_E=k_BT^2C_v$ is interpreted ad one of the examples of fluctuation-dissipation theorem. The relative fluctuation in energy is directly related to the ability of the system to absorb (or dissipate) energy.

In grand canonical ensemble, one finds that the relative number fluctuation is given by $$\sigma_N=\frac{\kappa_T}{\beta V}N^2.$$ Can this be regarded as an example of the fluctuation-dissipation theorem? If yes, which quantity on the RHS is the dissipative term? And why?