Emergence of Compact Structures in a Klein-Gordon Model

Journal Article · Fri Jan 22 04:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.034101· OSTI ID:21386753

Rosenau, Philip; Kashdan, Eugene ^[1]

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1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978 (Israel)

The Klein-Gordon model (KG) squarephi=P{sup '}(|phi|)(phi/|phi|) 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, P{sub a}(|phi|), with a subquadratic part P(|{phi}|)=b{sup 2}|{phi}|{sup 1+{delta}}+P{sub a}(|{phi}|), 0<={delta}<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.

• OSTI ID: 21386753
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
ELASTICITY
EQUATIONS
FIELD EQUATIONS
INTERACTIONS
KLEIN-GORDON EQUATION
MECHANICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PLASTICITY
POTENTIALS
QUASI PARTICLES
SOLITONS
VORTICES
WAVE EQUATIONS
WAVE PROPAGATION