 ### clarify specific heat

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 ... ... @@ -136,11 +136,13 @@ However, as derived by [Lebowitz](https://journals.aps.org/pr/abstract/10.1103/P it can be calculated from fluctuations in the kinetic energy instead: \$\$ \frac{\langle \delta K^2 \rangle}{\langle K \rangle^2} = \frac{2}{3N} \left(1-\frac{3N}{2 C_V}\right) \left(1-\frac{3N}{2 C_V}\right) = \frac{2}{3N} \left(1-\frac{3}{2 c_V}\right) \$\$ where \$K\$ is the kinetic energy, and \$\langle\delta K^2\rangle= \langle K^2 \rangle - \langle K \rangle^2\$ the fluctuations of the kinetic energy. kinetic energy. In this formula \$C_V\$ is the total specific heat capacity for all \$N\$ atoms, whereas \$c_V=C_V/N\$ is the specific heat per atom. #### Diffusion ... ... @@ -179,4 +181,4 @@ if you want to observe these different types of behaviour. - Implement the initialization of positions onto an fcc lattice. - Show that the initial velocities obey a Maxwell-Boltzmann distribution. - Perform the rescaling of temperature and show how the desired temperature is attained after a certain amount of rescaling and equilibrating. - Study at least one observable, and compare its behaviour to literature. \ No newline at end of file - Study at least one observable, and compare its behaviour to literature.
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