Recently I was studying about L-J potential and I am confused about some points,
ULJ = Urepulsive + Uattractive
at equilibrium position what happen?
is it right to say that at equilibrium position the the repulsive & the attractive parts are equal that's why this position is called equilibrium position? If not then how this position is equilibrium?
At equilibrium position, the repulsive force equal to attractive force so that net force is zero on the particle. The net energy can still have a non zero value.
At equilibrium, the derivative of energy is zero. For LJ system it is the minimum energy point of the configuration space. Now if you look closely to your LJ potential the repulsive term is always positive and it decays very fast (~ r^-12) whereas the attraction part is always negative and converges to zero rather slowly (~ r^-6). But at equilibrium the net energy is negative, so you can naively comment that the attractive part dominates.