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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.
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
can be coupled using the :ref:`couple <deform_couple>` option. This means
the instantaneous pressure along coupled dimensions are averaged and the box
strains identically along the coupled dimensions.
option. Akin to :doc:`fix npt and nph <fix_nh>`, pressures in different
dimensions can be coupled using the :ref:`couple <deform_couple>` option.
This means the instantaneous pressure along coupled dimensions are averaged
and the box strains identically along the coupled dimensions.
The *pressure/mean* style changes a dimension's box length to maintain
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
tilt factor T evolves according to the equation
.. parsed-literal::
.. math::
\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
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 box perpendicular to the shear direction, L, instead of the
original length, L0. The tilt factor T as a function of time will
the box perpendicular to the shear direction, *L*, instead of the
original length, *L0*. The tilt factor T as a function of time will
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`
is the timestep size. This option may be useful in scenarios where
L changes in time.
where T(t-1) is the tilt factor on the previous timestep and
:math:`\Delta t` is the timestep size. This option may be useful
in scenarios where *L* changes in time.
----------