Emergence of compact structures in a klein-gordon model

Philip Rosenau*, Eugene Kashdan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The Klein-Gordon model (KG) □φ=P′(|φ|)φ|φ| is Lorenz invariant and has a finite wave speed, yet its localized modes, whether Q balls or vortices, suffer from the same fundamental flaw as all other solitons-they extend indefinitely. Using the KG model as a case study, we demonstrate that appending the site potential, Pa(|φ|), with a subquadratic part P(|φ|)=b2|φ|1+δ+Pa(|φ|), 0≤δ<1, induces particlelike modes with strictly compact support. These modes are robust and shorten in the direction of motion. Their interactions, which occur only on contact, are studied in two and three dimensions and are shown to span the whole range from being nearly elastic to plastic.

Original languageEnglish
Article number034101
JournalPhysical Review Letters
Issue number3
StatePublished - 20 Jan 2010


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