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LAMMPS computes interactions between atoms.
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If a pair of atoms are "neighbors" (that is, the distance between them is smaller than the *pair_style* cutoff distance), it produces a *short-range* interaction in real space and is computed using a *pair_style*.
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If atoms aren't within the cutoff distance, these become *long-range* interactions in reciprocal space (FFT domain).
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The `PairLJCharmmCoulLong::compute` computes short-range interactions.
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File `neigh_list.h` contains the `int **firstneigh` array.
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Note that the `**` denotes that it is a double pointer or pointer to pointer.
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In other words, `int **firstneigh` is a pointer to an array of pointers to arrays of `int`.
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`firstneigh[i]` contains an array of the atoms `j` that are neighbors of atom `i`.
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In this protein input, there are 32.000 `i` atoms.
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For example, `firstneigh[i][0]` would be the first neighbor of atom `i`.
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Both `i` and `j` are atom identifiers, and are represented using a 32-bit `int`.
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To retrieve the properties of an atom, this `int` value needs to be used as an index for the arrays found in file `atom_vec.h` or `atom.h` such as `double **x` (position), `**f` (force) or `*q` (charge).
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`x` and `f` are pointer to pointer since the second index in needed to split the magnitudes in XYZ components.
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Function `PairLJCharmmCoulLong::compute` has an inner and an outer for loop.
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The outer loop (i-loop) iterates through all 32.000 atoms in the protein simulation, while the inner loop (j-loop) iterates through each atom `j` that is a neighbor of `i`.
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For each pair of atoms `i, j`, the algorithm first computes the distance between the two atoms.
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Then, the distance is compared to different values which act as a threshold.
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In the input line `pair_style lj/charmm/coul/long X Y`, `X` is `cut_lj_innersq` and Y is both `cut_ljsq` and `cut_coulsq`.
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The alternative form with `X Y Z` parameters ([see](https://docs.lammps.org/pair_charmm.html#pair-style-lj-charmm-coul-long-command)) is not supported by the optimized function and falls back on the LAMMPS vanilla function.
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`tabinnersq` can be modified using the `pair_modify table N`, altough its effects have not been explored in this study.
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These values always follow:
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- `cut_lj_innersq < cut_ljsq`
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- `tabinnersq < cut_coulsq`
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- `cut_ljsq = cut_coulsq` (only in optimized function)
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- `cut_bothsq = MIN(cut_ljsq, cut_coulsq)`
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In the code, `rsq` represents the distance between atoms `i,j`. It is saved in squared form to avoid computing an expensive `sqrt`.
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- If `rsq` is larger than `cut_bothsq`, then, no computation is required because there is no short-range interaction between the two atoms. In that case, the inner loop iteration stops here (*do nothing*).
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- If `rsq` is smaller than `tabinnersq`, then `forcecoul` is computed using a *fast* table method. If not, it is computed using a *slow* method with calls to `sqrt` and `exp` functions.
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- If `rsq` is bigger than `cut_lj_innersq`, then `forcelj` needs a few additional computations.
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The following flowchart shows the different cases based on `rsq`.
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The condition on `forcelj`is not shown in order to focus on the `tabinnersq` condition.
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At the end of the function, the computed `forcelj` and `forcecoul` values are used to update the `f` (force) values for both atoms `i` and `j`. |
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