Computational Techniques
in Theoretical Physics
Homework 15

Show that the unit of V_{0} /k_{B} is temperature,
and that of qrt{ m r_{0}^{2}/ 48 V_{0}} is time.

Derive the dimensionless Hamilton's equation of the LennardJones
fluid:
dp'_{i}/dt' = sum _{j
=/= i} (r'_{i}r'_{j})
[r'_{ij}^{14}  1/2 r'_{ij}^{8}]
dr'_{i}/dt' = p'_{i} =
v'_{i}