The volume of a soliton

Abstract

There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a soliton is singled out in the sense that it exactly coincides with the thermodynamical or continuum-mechanical volume. In addition, this volume may be defined uniquely for rather arbitrary solitons in arbitrary dimensions.

16 pages, LaTex, no figures; published version; a discussion section and some references added

References in corpus (20)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Generalized Global Defect Solutions
• Giant Skyrmions Stabilized by Dipole-Dipole Interactions in Thin Ferromagnetic Films
• A BPS Skyrme model and baryons at large Nc
• Skyrmions with low binding energies
• k-defects as compactons
• Investigation of restricted baby Skyrme models
• Compactlike kinks and vortices in generalized models
• Compact gauge K vortices
• Incarnations of Skyrmions
• Compact Q-balls in the complex signum-Gordon model
• Skyrme models and nuclear matter equation of state
• Thermodynamics of the BPS Skyrme model
• Aloof Baby Skyrmions
• Near BPS Skyrmions and Restricted Harmonic Maps
• Scattering of Skyrmions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Compact Structures in Standard Field Theory
• Baby Skyrme models without a potential term
• A Note on Quantum Compactons

Cited by in corpus (16)

• Open Heavy Flavor in QCD Matter and in Nuclear Collisions
• Experimental overview on small collision systems at the LHC
• Hadron yields, the chemical freeze-out and the QCD phase diagram
• Loosening up the Skyrme model
• Electromagnetic probes of a pure-glue initial state in nucleus-nucleus collisions at energies available at the CERN Large Hadron Collider
• Antimatter ${}_{\Lambda }^4$H Hypernucleus Production and the ${}_{\Lambda }^3$H/${}^3$He Puzzle in Relativistic Heavy-Ion Collisions
• Modifying the pion mass in the loosely bound Skyrme model
• Skyrmions confined as beads on a vortex ring
• A Smörgåsbord of Skyrmions
• The effect of neutron skin on inclusive prompt photon production in Pb~+~Pb collisions at the LHC
• The volume of a vortex and the Bradlow bound
• Near-BPS baby Skyrmions with Gaussian tails
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions
• Measurements of open heavy-flavour production with ALICE at the LHC