MULTICOLVARDENS
 This is part of the multicolvar module

Evaluate the average value of a multicolvar on a grid.

This keyword allows one to construct a phase field representation for a symmetry function from an atomistic description. If each atom has an associated order parameter, $$\phi_i$$ then a smooth phase field function $$\phi(r)$$ can be computed using:

$\phi(\mathbf{r}) = \frac{\sum_i K(\mathbf{r}-\mathbf{r}_i) \phi_i }{ \sum_i K(\mathbf{r} - \mathbf{r}_i )}$

where $$\mathbf{r}_i$$ is the position of atom $$i$$, the sums run over all the atoms input and $$K(\mathbf{r} - \mathbf{r}_i)$$ is one of the kernelfunctions implemented in plumed. This action calculates the above function on a grid, which can then be used in the input to further actions.

Examples

The following example shows perhaps the simplest way in which this action can be used. The following input computes the density of atoms at each point on the grid and outputs this quantity to a file. In other words this input instructs plumed to calculate $$\rho(\mathbf{r}) = \sum_i K(\mathbf{r} - \mathbf{r}_i )$$

Click on the labels of the actions for more information on what each action computes
dens: DENSITY =1-100
grid: MULTICOLVARDENS =dens =1 =xyz =100,100,100 =0.05,0.05,0.05 =1
DUMPGRID =grid =500 =density

In the above example density is added to the grid on every step. The PRINT_GRID instruction thus tells PLUMED to output the average density at each point on the grid every 500 steps of simulation. Notice that the that grid output on step 1000 is an average over all 1000 frames of the trajectory. If you would like to analyze these two blocks of data separately you must use the CLEAR flag.

This second example computes an order parameter (in this case FCCUBIC) and constructs a phase field model for this order parameter using the equation above.

Click on the labels of the actions for more information on what each action computes
fcc: FCCUBIC =1-5184 ={CUBIC D_0=1.2 D_MAX=1.5}  =27
dens: MULTICOLVARDENS =fcc =1 =xyz =14,14,28 =1.0,1.0,1.0 =1 =1
DUMPCUBE =dens =1 =dens.cube

In this example the phase field model is computed and output to a file on every step of the simulation. Furthermore, because the CLEAR=1 keyword is set on the MULTICOLVARDENS line each Gaussian cube file output is a phase field model for a particular trajectory frame. The average value accumulated thus far is cleared at the start of every single timestep and there is no averaging over trajectory frames in this case.

Glossary of keywords and components
The atoms involved can be specified using
 ORIGIN we will use the position of this atom as the origin. For more information on how to specify lists of atoms see Groups and Virtual Atoms
Compulsory keywords
 STRIDE ( default=1 ) the frequency with which the data should be collected and added to the quantity being averaged CLEAR ( default=0 ) the frequency with which to clear all the accumulated data. The default value of 0 implies that all the data will be used and that the grid will never be cleared NORMALIZATION ( default=true ) This controls how the data is normalized it can be set equal to true, false or ndata. The differences between these options are explained in the manual page for HISTOGRAM BANDWIDTH the bandwidths for kernel density estimation KERNEL ( default=gaussian ) the kernel function you are using. More details on the kernels available in plumed plumed can be found in kernelfunctions. DATA the multicolvar which you would like to calculate the density profile for DIR the direction in which to calculate the density profile
Options
 SERIAL ( default=off ) do the calculation in serial. Do not use MPI LOWMEM ( default=off ) lower the memory requirements TIMINGS ( default=off ) output information on the timings of the various parts of the calculation FRACTIONAL ( default=off ) use fractional coordinates for the various axes XREDUCED ( default=off ) limit the calculation of the density/average to a portion of the z-axis only YREDUCED ( default=off ) limit the calculation of the density/average to a portion of the y-axis only ZREDUCED ( default=off ) limit the calculation of the density/average to a portion of the z-axis only LOGWEIGHTS list of actions that calculates log weights that should be used to weight configurations when calculating averages CONCENTRATION the concentration parameter for Von Mises-Fisher distributions NBINS the number of bins to use to represent the density profile SPACING the approximate grid spacing (to be used as an alternative or together with NBINS) XLOWER this is required if you are using XREDUCED. It specifies the lower bound for the region of the x-axis that for which you are calculating the density/average XUPPER this is required if you are using XREDUCED. It specifies the upper bound for the region of the x-axis that for which you are calculating the density/average YLOWER this is required if you are using YREDUCED. It specifies the lower bound for the region of the y-axis that for which you are calculating the density/average YUPPER this is required if you are using YREDUCED. It specifies the upper bound for the region of the y-axis that for which you are calculating the density/average ZLOWER this is required if you are using ZREDUCED. It specifies the lower bound for the region of the z-axis that for which you are calculating the density/average ZUPPER this is required if you are using ZREDUCED. It specifies the upper bound for the region of the z-axis that for which you are calculating the density/average