If overdamped equation looks like
##\dot{x}_i=x_{i+1}+x_{i-1}-2x_i-V'(x_i)+F(t)##
How to write down the underdamped Langevin equation
##\ddot{x}_i+\gamma\dot{x}_i=\gamma x_{i+1}+\gamma x_{i-1}-2 \gamma x_i-\gamma V'(x_i)+\gamma F(t)##
Am I right?
##\dot{x}_i=x_{i+1}+x_{i-1}-2x_i-V'(x_i)+F(t)##
How to write down the underdamped Langevin equation
##\ddot{x}_i+\gamma\dot{x}_i=\gamma x_{i+1}+\gamma x_{i-1}-2 \gamma x_i-\gamma V'(x_i)+\gamma F(t)##
Am I right?