Evolution of Local Vortices and Interfaces

Arodź, Henryk

doi:10.1007/978-94-007-1029-0_10

Cited by 4 publications

(4 citation statements)

References 13 publications

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“…Spontaneous symmetry breaking (SSB) is the basis for many phase transitions and accounts for effects including ferromagnetism, superconductivity, and convection cells [1,2]. SSB refers to a bifurcation whereby asymmetric solutions emerge from an otherwise symmetric configuration as the parameters of the system are varied.…”

Section: Introductionmentioning

confidence: 99%

On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators

Rossi

Carretero-González

Kevrekidis

et al. 2016

J. Phys. A: Math. Theor.

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We study the spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator observed experimentally by Xu and Coen in Opt. Lett. 39, 3492 (2014). We perform a detailed stability analysis of the Lugiato-Lefever model for the optical Kerr resonators and analyze the temporal bifurcation structure of stationary symmetric and the emerging asymmetric states as a function of the pump power. For intermediate pump powers a pitchfork loop is responsible for the destabilization of symmetric states towards stationary asymmetric ones while at large pump powers we find the emergence of periodic asymmetric solutions via a Hopf bifurcation. From a theoretical perspective, we use local bifurcation theory in order to analyze the most unstable eigenmode of the system. We also explore a non-conservative variational approximation capturing, among others, the evolution of the solution's amplitude, width and center of mass. Both methods provide insight towards the pitchfork bifurcations associated with the symmetry breaking. *

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Section: Introductionmentioning

confidence: 99%

On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators

Rossi

Carretero-González

Kevrekidis

et al. 2016

J. Phys. A: Math. Theor.

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“…Spontaneous symmetry breaking and gravity free are two models for particle mediation [61] , which explain the mediations and generations of elemental mass due to higgs fi eld interactions. The higgs bosons particles are created because of SU (2) symmetry breaking [62] . At higher temperature, vacuum, and energy, higgs field (Quantum field) exist strongly in vacuum around higgs particles.…”

Section: Elemental Mass Origin and Force Uni-ficationmentioning

confidence: 99%

A Review of Elemental Mass Origin and Fundamental Forces Unification for Nuclear and Aerospace Industries

Hussain

Abbas

2021

Journal of Modern Nanotechnology

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The current study explored the implementation of the Standard Model theoretically on the atomic elements of the periodic table. Theoretically, the pure elemental mass was probed first time from the perspectives of elemental mass origin and forces unification. In-depth elemental analyses will have vital applications in nuclear, aerospace, electronics, semiconductor, and defense industries. The literature deals with elemental materials mass origin. Elemental mass origin and fundamental forces unification are unresolved concepts of the twenty first century. In this study, the Standard Model was used to describe the mass origin and forces unification. The traditional and modern quantum literature review proved that elemental mass originates from higgs field and higgs bosons. Higgs bosons, leptons, quarks, and gauge bosons interact and mediate through higgs field, bosons, photons, and gluons to transfer and gain mass. Moreover, higgs bosons, photons, gauge bosons and gluons interact through gravitational, electromagnetic, weak, and strong forces. In conclusion, at the minimum energy level, the forces unification (interactions) causes the atom formation (elemental mass origin). Shortly, forces unification and elemental mass origin demonstrate great potential in their applications in medical, semiconductor, defense, and nuclear industries.

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“…The canonical spontaneous symmetry breaking phase trans ition is described by the 'Mexican hat' potential shown in figure 1 with many examples existing in cosmology, highenergy physics and materials science [17]. The hat indicates a complex order-parameter function comprising an amplitude and a phase, with the horizontal distance from the peak of the hat giving the magnitude of the order parameter, and the angle around the hat giving its phase.…”

Section: Spontaneous Symmetry Breakingmentioning

confidence: 99%