Martyna-Tuckerman-Tobias-Klein barostat

Martyna-Tuckerman-Tobias-Klein barostat has the following equations of motion (Eq.13):

${\dot {\mathbf {r} }}_{i}={\frac {{\mathbf {p} }_{i}}{m_{i}}}+{\frac {{\overline {\mathbf {p} }}_{g}}{W_{g}}}{\mathbf {r} }_{i}$

${\dot {\mathbf {p} }}_{i}={\mathbf {F} }_{i}-{\frac {{\overline {\mathbf {p} }}_{g}}{W_{g}}}{\mathbf {p} }_{i}-\left({\frac {1}{N_{f}}}\right){\frac {\mathrm {Tr} [{\overline {\mathbf {p} }}_{g}]}{W_{g}}}-{\frac {p_{\xi }}{Q}}{\mathbf {p} }_{i}$

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot{\overline{\mathbf {h}}} = \frac{\overline{\mathbf {p}}_g {\overline{\mathbf {h}}} }{W_g}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot{\overline{\mathbf {p}}}_g = V \left({\overline{\mathbf {p}}}_{\mathrm {int}} - {\overline{\mathbf {I}}} P_{\mathrm {ext}} \right) + \left[ \frac{1}{N_f} \sum_{i=1}^N \frac{{\mathbf {p}}_i^2 }{m_i} \right] {\overline{\mathbf {I}}} - \frac{p_{\xi}}{Q}{\overline{\mathbf {p}}}_g}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot\xi= \frac{p_{\xi}}{Q}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot p_{\xi} = \sum_{i=1}^N \frac{{\mathbf {p}}_i^2 }{m_i} + \frac{1}{W_g} \mathrm{Tr}\left[ {\overline{\mathbf {p}}}_g^t {\overline{\mathbf {p}}}_g \right] - (N_f + d^2) kT}