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 a metamorphosis as the input excitation is increased, thereby developing a first-order phase transition whose measurable manifestation is the formation of shock waves. This demonstrates that even the simplest phase-space dynamics, involving independent (uncoupled) degrees of freedom, can sustain critical phenomena.

Free-energy transition in a gas of non-interacting nonlinear wave-particles / Fratalocchi, A; Conti, Claudio; Ruocco, Giancarlo; Trillo, S.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 101:4(2008), p. 044101. [10.1103/PhysRevLett.101.044101]

Free-energy transition in a gas of non-interacting nonlinear wave-particles.

CONTI, CLAUDIO;RUOCCO, Giancarlo;
2008

Abstract

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 a metamorphosis as the input excitation is increased, thereby developing a first-order phase transition whose measurable manifestation is the formation of shock waves. This demonstrates that even the simplest phase-space dynamics, involving independent (uncoupled) degrees of freedom, can sustain critical phenomena.
2008
SOLITONS; NONLINEAR WAVES; FIBER NONLINEAR OPTICS; NONLINEAR OPTICS
01 Pubblicazione su rivista::01a Articolo in rivista
Free-energy transition in a gas of non-interacting nonlinear wave-particles / Fratalocchi, A; Conti, Claudio; Ruocco, Giancarlo; Trillo, S.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 101:4(2008), p. 044101. [10.1103/PhysRevLett.101.044101]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/230617
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