IMD |
Gay-Berne Potential (option uniax)The Gay-Berne potential models the pair interaction of uniaxial molecules. It depends not only on the scalar distance of their centres of mass but also on their mutual orientation. Due to this complicated dependence the Gay-Berne interaction cannot be tabulated. In IMD it is calculated from its analytical expression. Forces and torques are also evaluated analytically as derivatives of the potential. Gay-Berne modelThe Gay-Berne potential for uniaxial molecules (UNIAX) was implemented by Joachim Stelzer. It is a model for the pair interaction of two axially symmetric ellipsoidal molecules. The original model was invented by J. G. Gay and B. J. Berne J. Chem. Phys. 74, 3316 (1981). Molecular PropertiesIn conventional IMD an atom is completely described by its mass m and the vectors [rx ry rz] and [vx vy vz] which denote its position and orientation, respectively. For uniaxial molecules the data structure is enlarged. Each translational quantity is supplemented by a rotational one.
The moment of inertia, particle shape, and potential depths, which are common to all particles, are specified in the parameter file, and the other properties in the configuration file. Limitation: The current implementation is limited to a single type of Gay-Berne particle. Gay-Berne PotentialFor fixed shape and energy anisotropy of the unaxial ellipsoidal molecules the Gay-Berne pair potential is depending on four quantities: the scalar separation rij of the centres of mass, the two angles thetai and thetaj between the molecular separation vector and the main axis of molecule i and j, respectively, and, finally, the angle phiij for a twist of the molecular axes out of plane. Due to this complicated dependence the Gay-Berne potential cannot be tabulated. Instead it is calculated from its analytical expressions. Likewise, the forces and torques are evaluated analytically as derivatives of the potential. Integrators for Uniaxial MoleculesNewton's equations of motion govern the time development of the translational degrees of freedom of the molecules. Uniaxial molecules in addition possess rotational degrees of freedom (main axis, angular velocity). These quantities change according to a simplified version of Euler's gyroid equations. Therefore the integration algorithms implemented in IMD must be supplemented. This has been performed for the ensembles with the option NVE, NVT, and NPT_ISO. Due to the constraint of the main axis [ux uy uz] being a unit vector, the integration of the gyroid equations is more complicated than only a one-to-one mapping of the corresponding way for solving Newton's equations. In particular, the angular velocity has always to be perpendicular to the main axis, because a uniaxial molecule cannot rotate around its main axis. The number of its rotational degree of freedoms is only two. The Nosé-Hoover thermostat has been supplemented by an analogous method that keeps the total rotational energy on average at the value of 2/2 * kT, according to the equipartition theorem. ParametersNo potential table is necessary for the Gay-Berne interaction, because the potential, forces and torques are calculated analytically. However, the potential and other parameters must be specified in the parameter file.
Compiling IMD for UNIAXWhen compiling IMD for UNIAX, the option uniax has to be specified, which is implemented only in three dimensions. Only the NVE, NVT, and NPT_ISO ensembles are available, both in the serial and the parallel version. Examples: gmake imd_nve_uniax gmake imd_mpi_nvt_uniax Generating Initial ConfigurationsA separate code (in c) is provided in the IMD user directory: /imd/imd-samples/uniax/init_conf_uniax.c. It should be run in interactive mode. Input quantities are requested from the keyboard. Its output is a IMD configuration file for uniaxial molecules. A sample both for a configuration file config.inp and for a parametre file param.inp is available in the same directory. |