\(\renewcommand{\AA}{\text{Å}}\)

# compute stress/cylinder command

# compute stress/spherical command

## Syntax

    compute ID group-ID style args

- ID, group-ID are documented in compute command

- style = stress/spherical or stress/cylinder

- args = argument specific to the compute style

    stress/cylinder args = zlo zh Rmax bin_width keyword
      zlo = minimum z-boundary for cylinder
      zhi = maximum z-boundary for cylinder
      Rmax = maximum radius to perform calculation to
      bin_width = width of radial bins to use for calculation
      keyword = ke (zero or one can be specified)
        ke = yes or no
    stress/spherical
      x0, y0, z0 = origin of the spherical coordinate system
      bin_width = width of spherical shells
      Rmax = maximum radius of spherical shells

## Examples

    compute 1 all stress/cylinder -10.0 10.0 15.0 0.25
    compute 1 all stress/cylinder -10.0 10.0 15.0 0.25 ke no
    compute 1 all stress/spherical 0 0 0 0.1 10

## Description

Compute stress/cylinder, and compute stress/spherical define computations that calculate profiles of the diagonal components of the local stress tensor in the specified coordinate system. The stress tensor is split into a kinetic contribution \(P^k\) and a virial contribution \(P^v\). The sum gives the total stress tensor \(P = P^k+P^v\). These computes can for example be used to calculate the diagonal components of the local stress tensor of surfaces with cylindrical or spherical symmetry. These computes obeys momentum balance through fluid interfaces. They use the Irving–Kirkwood contour, which is the straight line between particle pairs.

The compute stress/cylinder computes the stress profile along the radial direction in cylindrical coordinates, as described in (Addington). The compute stress/spherical computes the stress profile along the radial direction in spherical coordinates, as described in (Ikeshoji).

## Output info

The default output columns for stress/cylinder are the radius to the center of the cylindrical shell, number density, \(P^k_{rr}\), \(P^k_{\phi\phi}\), \(P^k_{zz}\), \(P^v_{rr}\), \(P^v_{\phi\phi}\), and \(P^v_{zz}\). When the keyword ke is set to no, the kinetic contributions are not calculated, and consequently there are only 5 columns: the position of the center of the cylindrical shell, the number density, \(P^v_{rr}\), \(P^v_{\phi\phi}\), and \(P^v_{zz}\). The number of bins (rows) is \(R_\text{max}/b\), where \(b\) is the specified bin width.

The output columns for stress/spherical are the position of the center of the spherical shell, the number density, \(P^k_{rr}\), \(P^k_{\theta\theta}\), \(P^k_{\phi\phi}\), \(P^v_{rr}\), \(P^v_{\theta\theta}\), and \(P^v_{\phi\phi}\). There are 8 columns and the number of bins (rows) is \(R_\text{max}/b\), where \(b\) is the specified bin width.

This array can be output with fix ave/time,

    compute p all stress/spherical 0 0 0 0.1 10
    fix 2 all ave/time 100 1 100 c_p[*] file dump_p.out mode vector

The values calculated by this compute are “intensive”. The stress values will be in pressure units. The number density values are in inverse volume units.

NOTE 1: The local stress does not include any Lennard-Jones tail corrections to the stress added by the pair_modify tail yes command, since those are contributions to the global system pressure.

## Restrictions

These computes calculate the stress tensor contributions for pair styles only (i.e., no bond, angle, dihedral, etc. contributions, and in the presence of bonded interactions, the result may be incorrect due to exclusions for special bonds excluding pairs of atoms completely). It requires pairwise force calculations not available for most many-body pair styles. Note that \(k\)-space calculations are also excluded.

These computes are part of the EXTRA-COMPUTE package. They are only enabled if LAMMPS was built with that package. See the Build package doc page for more info.

## Related commands

compute stress/atom, compute pressure, compute stress/mop/profile, compute stress/cartesian

## Default

The keyword default for ke in style stress/cylinder is yes.

(Ikeshoji) Ikeshoji, Hafskjold, Furuholt, Mol Sim, 29, 101-109, (2003).

(Addington) Addington, Long, Gubbins, J Chem Phys, 149, 084109 (2018).