Minor edits, mainly affecting friction keyword
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@ -19,13 +19,13 @@ Syntax
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keyword = *iso* or *aniso* or *tri* or *x* or *y* or *z* or *xy* or *xz* or *yz* or *couple* or *dilate* or *modulus* or *temp* or *flip*
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*iso* or *aniso* or *tri* values = Pstart Pstop Pdamp
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Pstart,Pstop = scalar external pressure at start/end of run (pressure units)
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Pdamp = pressure damping parameter
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Pdamp = pressure damping parameter (time units)
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*x* or *y* or *z* or *xy* or *xz* or *yz* values = Pstart Pstop Pdamp
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Pstart,Pstop = external stress tensor component at start/end of run (pressure units)
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Pdamp = pressure damping parameter
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*flip* value = *yes* or *no* = allow or disallow box flips when it becomes highly skewed
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*couple* = *none* or *xyz* or *xy* or *yz* or *xz*
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*friction* value = Friction coefficient for the barostat
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*friction* value = Friction coefficient for the barostat (time units)
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*temp* values = Tstart, Tstop, seed
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Tstart, Tstop = target temperature used for the barostat at start/end of run
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seed = seed of the random number generator
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@ -42,8 +42,8 @@ Examples
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Description
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"""""""""""
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Reset the pressure of the system by using a Langevin stochastic barostat
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:ref:`(Grønbech) <Grønbech>`, which rescales the system volume and
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Adjust the pressure of the system by using a Langevin stochastic barostat
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:ref:`(Gronbech) <Gronbech>`, which rescales the system volume and
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(optionally) the atoms coordinates within the simulation box every
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timestep.
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@ -64,9 +64,10 @@ Where :math:`dt` is the timestep :math:`\dot{L}` and :math:`\ddot{L}` the first
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and second derivatives of the coupled direction with regard to time,
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:math:`\alpha` is a friction coefficient, :math:`\beta` is a random gaussian
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variable and :math:`Q` the effective mass of the coupled pseudoparticle. The
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two first terms on the righthand side of the first equation are the virial
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two first terms on the right-hand side of the first equation are the virial
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expression of the canonical pressure. It is to be noted that the temperature
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used to compute the pressure is not the velocity of the atom but the canonical
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used to compute the pressure is not based on the atom velocities but rather on
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the canonical
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target temperature directly. This temperature is specified using the *temp*
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keyword parameter and should be close to the expected target temperature of the
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system.
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@ -82,7 +83,7 @@ unchanged and controlling the pressure of a surrounding fluid.
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.. note::
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Unlike the :doc:`fix npt <fix_nh>` or :doc:`fix nph <fix_nh>` commands which
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perform Nose/Hoover barostatting AND time integration, this fix does NOT
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perform Nose-Hoover barostatting AND time integration, this fix does NOT
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perform time integration of the atoms but only of the barostat coupled
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coordinate. It then only modifies the box size and atom coordinates to
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effect barostatting. Thus you must use a separate time integration fix,
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@ -115,11 +116,11 @@ will change. A box dimension will not change if that component is not
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specified, although you have the option to change that dimension via the
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:doc:`fix deform <fix_deform>` command.
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The *Pdamp* parameter can be seen in the same way as a Nosé-Hoover parameter as
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The *Pdamp* parameter can be seen in the same way as a Nose-Hoover parameter as
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it is used to compute the mass of the fictitious particle. Without friction,
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the barostat can be compared to a single particle Nosé-Hoover barostat and as
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such should follow a similar decay in time. As such the mass of the barostat is
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also linked to *Pdamp* by the relation
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the barostat can be compared to a single particle Nose-Hoover barostat and
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should follow a similar decay in time. The mass of the barostat is
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linked to *Pdamp* by the relation
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:math:`Q=(N_{at}+1)\cdot{}k_BT_{target}\cdot{}P_{damp}^2`. Note that *Pdamp*
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should be expressed in time units.
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@ -139,7 +140,7 @@ The *temp* keyword sets the temperature to use in the equation of motion of the
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barostat. This value is used to compute the value of the force :math:`f_P` in
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the equation of motion. It is important to note that this value is not the
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instantaneous temperature but a target temperature that ramps from *Tstart* to
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*Tstop*. Also the required argument *seed* also sets the seed for the random
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*Tstop*. Also the required argument *seed* sets the seed for the random
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number generator used in the generation of the random forces.
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----------
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@ -217,15 +218,16 @@ error.
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----------
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The *friction* keyword sets the friction parameter :math:`\alpha` in the
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equations of movement of the barostat. For each barostat, the value of
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equations of motion of the barostat. For each barostat direction, the value of
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:math:`\alpha` depends on both *Pdamp* and *friction*. The value given as a
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parameter is the Langevin characteristic time :math:`\tau_{L}
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=\frac{Q}{\alpha}` in time units. The langevin time can be understood as a
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decorrelation time for the pressure. A long langevin time value will make the
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parameter is the Langevin characteristic time
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:math:`\tau_{L}=\frac{Q}{\alpha}` in time units. The langevin time can be understood as a
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decorrelation time for the pressure. A long Langevin time value will make the
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barostat act as an underdamped oscillator while a short value will make it
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act as an overdamped oscillator. The ideal configuration would be to find
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the critical parameter of the barostat. Such a value is empirically found
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so that :math:`\tau_{L}\approx{}P_{damp}/2.`.
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the critical parameter of the barostat. Empirically this is observed to
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occur for :math:`\tau_{L}\approx{}P_{damp}`. For this reason, if the *friction*
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keyword is not used, the default value *Pdamp* is used for each barostat direction.
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----------
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@ -270,7 +272,7 @@ This fix can ramp its target pressure and temperature over multiple runs, using
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the *start* and *stop* keywords of the :doc:`run <run>` command. See the
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:doc:`run <run>` command for details of how to do this. It is recommended that
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the ramped temperature is the same as the effective temperature of the
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thermalised system. That is, if the system's temperature is ramped by other
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thermostatted system. That is, if the system's temperature is ramped by other
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commands, it is recommended to do the same with this pressure control.
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This fix is not invoked during :doc:`energy minimization <minimize>`.
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@ -290,11 +292,10 @@ Related commands
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Default
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"""""""
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The keyword defaults are dilate = all and mass = 0.001 in units of mass for
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whatever :doc:`units <units>` defined.
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The keyword defaults are *dilate* = all, *flip* = yes, and *friction* = *Pdamp*.
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----------
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.. _Grønbech:
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.. _Gronbech:
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**(Grønbech)** Grønbech-Jensen, Farago, J Chem Phys, 141, 194108 (2014).
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**(Gronbech)** Gronbech-Jensen, Farago, J Chem Phys, 141, 194108 (2014).
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@ -2892,6 +2892,7 @@ pscrozi
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pseudocode
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Pseudocode
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pseudodynamics
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pseudoparticle
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pseudopotential
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psllod
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pSp
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@ -3755,6 +3756,7 @@ uncomment
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uncommented
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uncompress
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uncompute
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underdamped
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underprediction
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undump
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uniaxial
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