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| 1 | +.. _kw_compute_chunk: |
| 2 | +.. index:: |
| 3 | + single: compute_chunk (keyword in run.in) |
| 4 | + |
| 5 | +:attr:`compute_chunk` |
| 6 | +===================== |
| 7 | + |
| 8 | +This keyword computes space- and time-averaged per-chunk quantities based on dynamic spatial binning. |
| 9 | +Unlike the :ref:`compute keyword <kw_compute>`, which uses static group assignments defined in the model file, :attr:`compute_chunk` assigns atoms to spatial bins (chunks) based on their real-time coordinates at each sampling step. |
| 10 | +This is particularly useful for systems where atoms diffuse across spatial regions during the simulation, such as low-density, porous, or amorphous materials in NEMD simulations. |
| 11 | + |
| 12 | +The results are written to the ``compute_chunk.out`` output file. |
| 13 | + |
| 14 | + |
| 15 | +Syntax |
| 16 | +------ |
| 17 | + |
| 18 | +For 1D binning:: |
| 19 | + |
| 20 | + compute_chunk <sample_interval> <output_interval> bin/1d <dim> <origin> <delta> {<quantity>} |
| 21 | + |
| 22 | +For 2D binning:: |
| 23 | + |
| 24 | + compute_chunk <sample_interval> <output_interval> bin/2d <dim1> <origin1> <delta1> <dim2> <origin2> <delta2> {<quantity>} |
| 25 | + |
| 26 | +For 3D binning:: |
| 27 | + |
| 28 | + compute_chunk <sample_interval> <output_interval> bin/3d <dim1> <origin1> <delta1> <dim2> <origin2> <delta2> <dim3> <origin3> <delta3> {<quantity>} |
| 29 | + |
| 30 | +The parameters are defined as follows: |
| 31 | + |
| 32 | +* :attr:`sample_interval`: Sampling interval in time steps. The quantities are sampled every this many steps. |
| 33 | + |
| 34 | +* :attr:`output_interval`: Number of samples to average before producing one output. This is consistent with the :ref:`compute keyword <kw_compute>`: one output is produced every :math:`\text{sample\_interval} \times \text{output\_interval}` time steps. |
| 35 | + |
| 36 | +* :attr:`bin/1d`, :attr:`bin/2d`, :attr:`bin/3d`: The binning style, specifying 1D, 2D, or 3D spatial binning respectively. |
| 37 | + |
| 38 | +* :attr:`dim` (or :attr:`dim1`, :attr:`dim2`, :attr:`dim3`): The axis along which to bin. Must be :attr:`x`, :attr:`y`, or :attr:`z`. For :attr:`bin/2d` and :attr:`bin/3d`, the specified axes must be distinct. |
| 39 | + |
| 40 | +* :attr:`origin` (or :attr:`origin1`, :attr:`origin2`, :attr:`origin3`): The bin origin. Currently only :attr:`lower` is supported, meaning bins start from the lower boundary of the simulation box (coordinate 0). |
| 41 | + |
| 42 | +* :attr:`delta` (or :attr:`delta1`, :attr:`delta2`, :attr:`delta3`): The bin width in Ångströms. The number of bins along each axis is automatically calculated as :math:`\lceil L / \delta \rceil`, where :math:`L` is the box length along that axis. The last bin may be narrower than :math:`\delta` if :math:`L` is not an integer multiple of :math:`\delta`; its volume and center coordinate are computed using the actual width. |
| 43 | + |
| 44 | +Starting after the binning parameters, one can list the quantities to be computed. |
| 45 | +The allowed names for :attr:`quantity` are: |
| 46 | + |
| 47 | +* :attr:`temperature`, which yields the temperature of each chunk |
| 48 | +* :attr:`density/number`, which yields the number density (atoms per volume) of each chunk |
| 49 | +* :attr:`density/mass`, which yields the mass density of each chunk |
| 50 | +* :attr:`vx`, which yields the average velocity in the x direction |
| 51 | +* :attr:`vy`, which yields the average velocity in the y direction |
| 52 | +* :attr:`vz`, which yields the average velocity in the z direction |
| 53 | +* :attr:`fx`, which yields the average force in the x direction |
| 54 | +* :attr:`fy`, which yields the average force in the y direction |
| 55 | +* :attr:`fz`, which yields the average force in the z direction |
| 56 | + |
| 57 | +One can write one or more (distinct) names in any order. |
| 58 | + |
| 59 | +For triclinic (non-orthogonal) simulation boxes, the box length along each axis is computed as the geometric thickness :math:`L = V / A`, where :math:`V` is the box volume and :math:`A` is the cross-sectional area perpendicular to that axis. This is consistent with GPUMD's internal geometry calculations. |
| 60 | + |
| 61 | + |
| 62 | +Example |
| 63 | +------- |
| 64 | + |
| 65 | +Example 1: 1D temperature profile along z |
| 66 | +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 67 | +:: |
| 68 | + |
| 69 | + compute_chunk 10 100 bin/1d z lower 1.0 temperature |
| 70 | + |
| 71 | +This means: |
| 72 | + |
| 73 | +* sample the temperature every 10 time steps |
| 74 | +* average over 100 samples before writing output (one output every :math:`10 \times 100 = 1000` steps) |
| 75 | +* bin atoms along the z axis with 1.0 Å bin width, starting from the lower boundary |
| 76 | +* compute the temperature of each bin |
| 77 | + |
| 78 | +Example 2: 1D temperature and density profile |
| 79 | +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 80 | +:: |
| 81 | + |
| 82 | + compute_chunk 10 100 bin/1d z lower 1.0 temperature density/number |
| 83 | + |
| 84 | +Same as above, but also computes the number density of each bin. |
| 85 | + |
| 86 | +Example 3: 2D velocity field |
| 87 | +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 88 | +:: |
| 89 | + |
| 90 | + compute_chunk 10 100 bin/2d x lower 2.0 z lower 2.0 vx vz |
| 91 | + |
| 92 | +This creates a 2D grid of bins in the x-z plane with 2.0 Å bin width in each direction, and computes the average x and z velocity components in each bin. |
| 93 | + |
| 94 | +Example 4: NEMD temperature profile |
| 95 | +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| 96 | +A typical use case for NEMD simulations:: |
| 97 | + |
| 98 | + ensemble heat_lan 300 300 50 0 1 |
| 99 | + compute_chunk 10 100 bin/1d z lower 1.0 temperature density/number |
| 100 | + run 1000000 |
| 101 | + |
| 102 | +This computes the temperature and density profiles along z during a Langevin heat bath NEMD simulation. |
| 103 | + |
| 104 | + |
| 105 | +Output file |
| 106 | +----------- |
| 107 | + |
| 108 | +The results are written to ``compute_chunk.out``. |
| 109 | +The file is appended to if it already exists. |
| 110 | +For each output time, there are :math:`N_\text{chunk}` consecutive lines (one per chunk), with the following format per line:: |
| 111 | + |
| 112 | + <chunk_id> <coord1> [<coord2>] [<coord3>] <avg_count> <value1> [<value2>] ... |
| 113 | + |
| 114 | +The columns are: |
| 115 | + |
| 116 | +* :attr:`chunk_id`: the zero-based index of the chunk (dimensionless integer). |
| 117 | +* :attr:`coord1` (and :attr:`coord2`, :attr:`coord3` for 2D/3D binning): the center coordinates (in units of Å) of the chunk along the corresponding binning axis. |
| 118 | +* :attr:`avg_count`: the time-averaged number of atoms in the chunk (dimensionless). |
| 119 | +* :attr:`value1`, :attr:`value2`, ...: the time-averaged values of the requested quantities, in the same order as specified in the command. The units for each quantity are: |
| 120 | + |
| 121 | + - :attr:`temperature`: K |
| 122 | + - :attr:`density/number`: Å\ :sup:`-3` (number of atoms per volume) |
| 123 | + - :attr:`density/mass`: amu/Å\ :sup:`3` (total atomic mass per volume) |
| 124 | + - :attr:`vx`, :attr:`vy`, :attr:`vz`: Å/fs |
| 125 | + - :attr:`fx`, :attr:`fy`, :attr:`fz`: eV/Å |
| 126 | + |
| 127 | +The temperature is computed from the kinetic energy of the atoms in each chunk as :math:`T = 2 E_\text{k} / (3 k_\text{B} N)`, where :math:`E_\text{k}` is the total kinetic energy, :math:`N` is the atom count, and :math:`k_\text{B}` is the Boltzmann constant. |
| 128 | +The velocity and force values are per-atom averages within each chunk. |
| 129 | + |
| 130 | +For example, the command:: |
| 131 | + |
| 132 | + compute_chunk 10 100 bin/1d z lower 2.0 temperature density/number |
| 133 | + |
| 134 | +produces output lines of the form:: |
| 135 | + |
| 136 | + 0 1.000000 52.0 3.0012345678e+02 2.5000000000e-02 |
| 137 | + 1 3.000000 48.0 2.9876543210e+02 2.4000000000e-02 |
| 138 | + ... |
| 139 | + |
| 140 | +Here, each line contains: chunk index, bin center along z (Å), average atom count, temperature (K), and number density (Å\ :sup:`-3`). |
| 141 | +The output blocks for successive time points are written consecutively with no blank line separator; each block contains exactly :math:`N_\text{chunk}` lines. |
| 142 | + |
| 143 | + |
| 144 | +Caveats |
| 145 | +------- |
| 146 | + |
| 147 | +* The :attr:`origin` parameter currently only accepts :attr:`lower`. Numeric origin values are not supported. |
| 148 | +* This keyword addresses the measurement/analysis side of dynamic spatial binning. The NEMD heat baths (:attr:`ensemble heat_*` source/sink regions) still use static group assignments. Dynamic heat bath regions would require separate modifications to the integrator. |
| 149 | +* Multiple :attr:`compute_chunk` commands can be used in the same run. |
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