Transition behavior of the discrete nonlinear Schrödinger equation.
Many nonlinear lattice systems exhibit high-amplitude localized structures, or discrete breathers. Such structures emerge in the discrete nonlinear Schrödinger equation when the energy is above a critical threshold. This paper studies the statistical mechanics at the transition and constructs the probability distribution in the regime where breathers emerge. The entropy as a function of the energy is nonanalytic at the transition. The entropy is independent of the energy in the regime of breathers above the transition.
Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany.
Benno
B
Rumpf