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 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.

• Publication year

  2008

• Venue

  Physical Review Letters

• Publication date

  2008-07-21

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.101.044101arXiv 0808.0882PMID 18764331
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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