Nose-Hoover thermostat: Difference between revisions

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<math>
<math>
\mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \dot{\bold{r}}_{i}^{2} - U(\bold{r}) + \frac{Q}{2} \dot{s}^{2}-\frac{g}{\beta}\mathrm{ln} s.
\mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \dot{\bold{r}}_{i}^{2} - U(\bold{r}) + \frac{Q}{2} \dot{s}^{2}-\frac{g}{\beta}\mathrm{ln} \, s.
</math>
</math>



Revision as of 08:32, 31 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


References