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Free-Energy Transition in a Gas of Noninteracting Nonlinear Wave Particles

Free-Energy Transition in a Gas of Noninteracting Nonlinear Wave Particles

We investigate the dynamics of a gas of noninteracting particlelike soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by employing methods of the statistical mechanics of chaos. In particular, we show that a suitable free energy undergoes …