NUMERICAL ANALYSIS OF NEW OSCILLATORY MODE OF BEAD-SPRING MODEL

Abstract

We consider the Hamiltonian dynamics of the bead-spring model. The bead-spring model considered here is that masses are connected linearly with spring and known as the Rouse model, which presents a model of polymer. Despite the bending energy is not included in the Hamiltonian explicitly, the bead-spring model exhibits bending oscillations when the spring energy exceed a critical value. In other words, stiffness emerges dynamically. We show that the critical spring energy is one third of total energy by considering a simple three-beads model.