Searching for Long Range Interaction in Lennard Jones Liquid
This event is part of the Preliminary Oral Exam.
Abstract: Lennard-Jones potential is a widely used approximation to describe interaction between molecules. The mathematical form of Lennard Jones potential shows that it is a short range interaction. However, recent researches found evidences of pseudo-spinodal nucleation in Liquid-Solid phase transition in Lennard-Jones dense liquid, which implies there is an effective long range interaction in those systems. In searching for numerical evidence of long range interaction in Lennard-Jones systems, we used damage algorithm. We found that in Ising model, speed of damage propagation is proportional to interaction range, while in Lenard-Jones systems, despite the bare interaction is of the same form, the damage propagation speed is proportional to density of particles. This implies that in Lennard-Jones systems the density has positive correlation with interaction range.
Examining Committee: William Klein, Harvey Gould, Claudio Rebbi, Wanzheng Hu, Karl Ludwig