# compute stress/tally command¶

## Syntax¶

compute ID group-ID style group2-ID

• ID, group-ID are documented in compute command

• style = force/tally or heat/flux/tally or heat/flux/virial/tally or * or pe/tally or pe/mol/tally or stress/tally

• group2-ID = group ID of second (or same) group

## Examples¶

compute 1 lower force/tally upper
compute 1 left pe/tally right
compute 1 lower stress/tally lower
compute 1 subregion heat/flux/tally all
compute 1 liquid heat/flux/virial/tally solid


## Description¶

Define a computation that calculates properties between two groups of atoms by accumulating them from pairwise non-bonded computations. Except for heat/flux/virial/tally, the two groups can be the same. This is similar to compute group/group only that the data is accumulated directly during the non-bonded force computation. The computes force/tally, pe/tally, stress/tally, and heat/flux/tally are primarily provided as example how to program additional, more sophisticated computes using the tally callback mechanism. Compute pe/mol/tally is one such style, that can - through using this mechanism - separately tally intermolecular and intramolecular energies. Something that would otherwise be impossible without integrating this as a core functionality into the based classes of LAMMPS.

Compute heat/flux/tally obtains the heat flux (strictly speaking, heat flow) inside the first group, which is the sum of the convective contribution due to atoms in the first group and the virial contribution due to interaction between the first and second groups:

$\begin{split}\mathbf{Q}= \sum_{i \in \text{group 1}} e_i \mathbf{v}_i + \frac{1}{2} \sum_{i \in \text{group 1}} \sum_{\substack{j \in \text{group 2} \\ j \neq i } } \left( \mathbf{F}_{ij} \cdot \mathbf{v}_j \right) \mathbf{r}_{ij}\end{split}$

When the second group in heat/flux/tally is set to “all”, the resulting values will be identical to that obtained by compute heat/flux, provided only pairwise interactions exist.

Compute heat/flux/virial/tally obtains the total virial heat flux (strictly speaking, heat flow) into the first group due to interaction with the second group, and is defined as:

$Q = \frac{1}{2} \sum_{i \in \text{group 1}} \sum_{j \in \text{group 2}} \mathbf{F}_{ij} \cdot \left(\mathbf{v}_i + \mathbf{v}_j \right)$

Although, the heat/flux/virial/tally compute does not include the convective term, it can be used to obtain the total heat flux over control surfaces, when there are no particles crossing over, such as is often in solid-solid and solid-liquid interfaces. This would be identical to the method of planes method. Note that the heat/flux/virial/tally compute is distinctly different from the heat/flux and heat/flux/tally computes, that are essentially volume averaging methods. The following example demonstrates the difference:

# System with only pairwise interactions.
# Non-periodic boundaries in the x direction.
# Has LeftLiquid and RightWall groups along x direction.

# Heat flux over the solid-liquid interface
compute hflow_hfvt RightWall heat/flux/virial/tally LeftLiquid
variable hflux_hfvt equal c_hflow_hfvt/(ly*lz)

# x component of approximate heat flux vector inside the liquid region,
# two approaches.
#
compute myKE all ke/atom
compute myPE all pe/atom
compute myStress all stress/atom NULL virial
compute hflow_hf LeftLiquid heat/flux myKE myPE myStress
variable hflux_hf equal c_hflow_hf[1]/${volLiq} # compute hflow_hft LeftLiquid heat/flux/tally all variable hflux_hft equal c_hflow_hft[1]/${volLiq}

# Pressure over the solid-liquid interface, three approaches.
#
compute force_gg RightWall group/group LeftLiquid
variable press_gg equal c_force_gg[1]/(ly*lz)
#
compute force_ft RightWall force/tally LeftLiquid
compute rforce_ft RightWall reduce sum c_force_ft[1]
variable press_ft equal c_rforce_ft/(ly*lz)
#
compute rforce_hfvt all reduce sum c_hflow_hfvt[1]
variable press_hfvt equal c_rforce_hfvt/(ly*lz)


The pairwise contributions are computing via a callback that the compute registers with the non-bonded pairwise force computation. This limits the use to systems that have no bonds, no Kspace, and no many-body interactions. On the other hand, the computation does not have to compute forces or energies a second time and thus can be much more efficient. The callback mechanism allows to write more complex pairwise property computations.

## Output info¶

Compute pe/tally calculates a global scalar (the energy) and a per atom scalar (the contributions of the single atom to the global scalar). Compute pe/mol/tally calculates a global 4-element vector containing (in this order): evdwl and ecoul for intramolecular pairs and evdwl and ecoul for intermolecular pairs. Since molecules are identified by their molecule IDs, the partitioning does not have to be related to molecules, but the energies are tallied into the respective slots depending on whether the molecule IDs of a pair are the same or different. Compute force/tally calculates a global scalar (the force magnitude) and a per atom 3-element vector (force contribution from each atom). Compute stress/tally calculates a global scalar (average of the diagonal elements of the stress tensor) and a per atom vector (the 6 elements of stress tensor contributions from the individual atom). As in compute heat/flux, compute heat/flux/tally calculates a global vector of length 6, where the first 3 components are the $$x$$, $$y$$, $$z$$ components of the full heat flow vector, and the next 3 components are the corresponding components of just the convective portion of the flow, i.e. the first term in the equation for $$\mathbf{Q}$$. Compute heat/flux/virial/tally calculates a global scalar (heat flow) and a per atom 3-element vector (contribution to the force acting over atoms in the first group from individual atoms in both groups).

Both the scalar and vector values calculated by this compute are “extensive”.

## Restrictions¶

This compute is part of the TALLY package. It is only enabled if LAMMPS was built with that package. See the Build package page for more info.

Not all pair styles can be evaluated in a pairwise mode as required by this compute. For example, 3-body and other many-body potentials, such as Tersoff and Stillinger-Weber cannot be used. EAM potentials only include the pair potential portion of the EAM interaction when used by this compute, not the embedding term. Also bonded or Kspace interactions do not contribute to this compute.

The computes in this package are not compatible with dynamic groups.

none