Simulation units¶
Most physical quantities carry a dimension, and their numeric values are meaningful only in conjuction with a suitable unit. A computer, on the other hand, processes just plain numbers. The interpretation of such a numeric value as physical quantity depends on the—completely arbitrary—specification of the associated unit. Within a given simulation, the only constraint is that all units are derived from the same set of base units, e.g., for length, time, mass, temperature, and current/charge.
For example, an interaction range “” of the Lennard-Jones
potential may be interpreted as
,
, or even
(for argon). Another more
abstract interpretation of “
” is that all lengths are
measured relative to
.
Typical choices for base units along with some derived units are given in the table:
physical dimension | symbol | SI base units | cgs system | abstract units (Lennard-Jones potential) |
---|---|---|---|---|
length | L | metre | centimetre | ![]() |
time | T | second | second | ![]() |
mass | M | kilogram | gram | ![]() |
temperature | Θ | kelvin | ![]() |
|
current | I | ampère | franklin / second | ![]() |
energy | M×L²×T⁻² | joule | erg | ![]() |
force | M×L×T⁻² | newton | dyne | ![]() |
pressure | M×L⁻¹×T⁻² | pascal | barye | ![]() |
dynamic viscosity | M×L⁻¹×T⁻¹ | pascal × second | poise | ![]() |
charge | I×T | ampère × second | franklin | ![]() |