Computational Techniques in Theoretical Physics
Homework 15
 

• Show that the unit of V₀ /k_B is temperature, and that of qrt{ m r₀²/ 48 V₀} is time.

• Derive the dimensionless Hamilton's equation of the Lennard-Jones 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