Nose-Hoover thermostat: Difference between revisions

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<math>
<math>
\mathcal{L} = \sum{i=1}^{N} \frac{m_{i}}{2} s^{2} \bold{r}_{i}^{2}
P(t)=\nu e^{-\nu t}.
</math>
</math>



Revision as of 14:14, 29 May 2019

In the approach by Nosé and Hoover[1][2][3] an extra degree of freedom is introduced in the Hamiltonian. The heat bath is considered as an integral part of the system and has a fictious coordinate which is introduced into the Lagrangian of the system. This Lagrangian for an is written as

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