Nose-Hoover thermostat: Difference between revisions
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In the approach by Nosé and Hoover{{cite|nose:jcp:1984}}{{cite|nose:ptp:1991}}{{cite|hoover:pra:1985}} an extra degree of freedom is introduced in the Hamiltonian. | In the approach by Nosé and Hoover{{cite|nose:jcp:1984}}{{cite|nose:ptp:1991}}{{cite|hoover:pra:1985}} 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 <math>s</math> which is introduced into the Lagrangian of the system. This Lagrangian for an <math>N</math> is written as | ||
<math> | |||
\mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \mathbf{\dot{r}}_{i}^{2} | |||
</math> | |||
== References == | == References == | ||
Revision as of 14:10, 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 [math]\displaystyle{ s }[/math] which is introduced into the Lagrangian of the system. This Lagrangian for an [math]\displaystyle{ N }[/math] is written as
[math]\displaystyle{ \mathcal{L} = \sum\limits_{i=1}^{N} \frac{m_{i}}{2} s^{2} \mathbf{\dot{r}}_{i}^{2} }[/math]
References