Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
arXiv:2201.09303 · doi:10.1016/j.aop.2022.168904
Abstract
Using a spherically symmetric ansatz, we show that the Chern-Simons O(3)-sigma model with a logarithmic potential admits topological solutions. This result is quite interesting since the Gausson-type logarithmic potential only predicted topological solutions in D models. To accomplish our goal, the Bogomol'nyi-Prasad-Sommerfield (BPS) method is used, to saturate the energy and obtain the BPS equations. Next, we show by the numerical method is the graphical results of the topological fields, as well as, the magnetic field behavior that generates a flux given by and the energy density of the structures of vortices. On the other hand, we evaluate the measure of the differential configurational complexity (DCC) of the topological structures, by considering the energy density of the vortex. This analysis is important because it will provide us with information about the possible phase transitions associated with the localized structures and it shows that our model only supports the one-phase transition.
arXiv comment17 pages, 10 figures. Title changed. Updated version to match the one published in Annals of Physics
References in corpus (36)
- Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences
- Dynamics of Baby Skyrmions
- Bogomol'nyi solitons in a gauged sigma model
- Entropic Measure for Localized Energy Configurations: Kinks, Bounces, and Bubbles
- Stability of the graviton Bose-Einstein condensate in the brane-world
- Information Content of Spontaneous Symmetry Breaking
- Information-Entropic Stability Bound for Compact Objects: Application to Q-Balls and the Chandrasekhar Limit of Polytropes
- Vortices in (abelian) Chern-Simons gauge theory
- Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
- Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory
- Transition To Order After Hilltop Inflation
- Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
- Configurational entropy in brane models
- Skyrme-Maxwell Solitons in (2+1) Dimensions
- Shape is Destiny: Configurational Entropy as a Lifetime Predictor and Pattern Discriminator for Oscillons
- Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
- Shape Is Destiny II: Configurational Information Approach to Instantons and False Vacuum Decay in D-dimensional Spacetime
- On Bogomol'nyi Equations of Classical Solutions
- An alternative to dark matter and dark energy: Scale-dependent gravity in superfluid vacuum theory
- Vortices in a nonminimal Maxwell-Chern-Simons O(3) Sigma Model
- Configurational entropy of tachyon kinks on unstable Dp-branes
- Nonlinear wave-mechanical effects in Korteweg fluid magma transport
- Singularity-free model of electric charge in physical vacuum: Non-zero spatial extent and mass generation
- Vortex solutions in nonpolynomial scalar QED
- Vacuum Cherenkov effect in logarithmic nonlinear quantum theory
- On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term
- Phase transitions in the logarithmic Maxwell O(3)-sigma model
- The Gauged O(3) Sigma Model: Schrödinger Representation and Hamilton-Jacobi Formulation
- BPS solitons with internal structure in the gauged sigma model
- Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
- Ringlike vortices in a logarithmic generalized Maxwell theory
- Continuously transforming kinks into compactons in the O(3)-sigma model
- New class of solutions of a generalized -sigma Chern-Simons model
- Configurational Entropy as a tool to select a physical Thick Brane Model
- New class of solutions in the non-minimal O(3)-sigma model
- Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model