\(\renewcommand{\AA}{\text{Å}}\)

# pair_style sph/idealgas command

## Syntax

    pair_style sph/idealgas

## Examples

    pair_style sph/idealgas
    pair_coeff * * 1.0 2.4

## Description

The sph/idealgas style computes pressure forces between particles according to the ideal gas equation of state:

\[p = (\gamma - 1) \rho e\]

where \(\gamma = 1.4\) is the heat capacity ratio, \(\rho\) is the local density, and e is the internal energy per unit mass. This pair style also computes Monaghan’s artificial viscosity to prevent particles from interpenetrating (Monaghan).

See this PDF guide to using SPH in LAMMPS.

Note

Please note that the SPH PDF guide file has not been updated for many years and thus does not reflect the current syntax of the SPH package commands. For that please refer to the LAMMPS manual.

The following coefficients must be defined for each pair of atoms types via the pair_coeff command as in the examples above.

- \(\nu\) artificial viscosity (no units)

- h kernel function cutoff (distance units)

## Mixing, shift, table, tail correction, restart, rRESPA info

This style does not support mixing. Thus, coefficients for all I,J pairs must be specified explicitly.

This style does not support the pair_modify shift, table, and tail options.

This style does not write information to binary restart files. Thus, you need to re-specify the pair_style and pair_coeff commands in an input script that reads a restart file.

This style can only be used via the pair keyword of the run_style respa command. It does not support the inner, middle, outer keywords.

## Restrictions

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

## Related commands

pair_coeff, pair_sph/rhosum

## Default

none

(Monaghan) Monaghan and Gingold, Journal of Computational Physics, 52, 374-389 (1983).