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use math environments to typeset math expressions. make consistent.

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This commit is contained in:
Axel Kohlmeyer
2024-08-14 01:44:17 -04:00
parent 308ecaef1c
commit 511b642a60
1 changed files with 12 additions and 12 deletions
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24
doc/src/fix_deform_pressure.rst
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@ -172,10 +172,10 @@ specific details of a simulation. Testing different values is recommended.
By default, there is no limit on the resulting strain rate in any dimension. By default, there is no limit on the resulting strain rate in any dimension.
A maximum limit can be applied using the :ref:`max/rate <deform_max_rate>` A maximum limit can be applied using the :ref:`max/rate <deform_max_rate>`
option. Akin to :doc:`fix nh <fix_nh>`, pressures in different dimensions option. Akin to :doc:`fix npt and nph <fix_nh>`, pressures in different
can be coupled using the :ref:`couple <deform_couple>` option. This means dimensions can be coupled using the :ref:`couple <deform_couple>` option.
the instantaneous pressure along coupled dimensions are averaged and the box This means the instantaneous pressure along coupled dimensions are averaged
strains identically along the coupled dimensions. and the box strains identically along the coupled dimensions.
The *pressure/mean* style changes a dimension's box length to maintain The *pressure/mean* style changes a dimension's box length to maintain
a constant mean pressure defined as the trace of the pressure tensor. a constant mean pressure defined as the trace of the pressure tensor.
@ -204,7 +204,7 @@ off-diagonal component of the pressure tensor. This option attempts to
maintain a specified target value using a linear controller where the maintain a specified target value using a linear controller where the
tilt factor T evolves according to the equation tilt factor T evolves according to the equation
.. parsed-literal:: .. math::
\frac{d T(t)}{dt} = L(t) k (P - P_t) \frac{d T(t)}{dt} = L(t) k (P - P_t)
@ -225,17 +225,17 @@ the applied strain using the :ref:`max/rate <deform_max_rate>` option.
The *erate/rescale* style operates similarly to the *erate* style with The *erate/rescale* style operates similarly to the *erate* style with
a specified strain rate in units of 1/time. The difference is that a specified strain rate in units of 1/time. The difference is that
the change in the tilt factor will depend on the current length of the change in the tilt factor will depend on the current length of
the box perpendicular to the shear direction, L, instead of the the box perpendicular to the shear direction, *L*, instead of the
original length, L0. The tilt factor T as a function of time will original length, *L0*. The tilt factor T as a function of time will
change as change as
.. parsed-literal:: .. math::
T(t) = T(t-1) + L\*erate\* \Delta t T(t) = T(t-1) + L \cdot \mathrm{erate} \cdot \Delta t
where T(t-1) is the tilt factor on the previous timestep and :math:`\Delta t` where T(t-1) is the tilt factor on the previous timestep and
is the timestep size. This option may be useful in scenarios where :math:`\Delta t` is the timestep size. This option may be useful
L changes in time. in scenarios where *L* changes in time.
---------- ----------