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Riazi, N.; Gharaati, Abdolrasoul

doi:10.1023/a:1018827704764

Cited by 24 publications

(43 citation statements)

References 15 publications

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“…As expected, this tensor is that of a perfect fluid, with the equation of state p = −ρ = −2 [23], similar to that of the cosmological constant [27]. Using the virial theorem, the energy density of the static kink is given by (see Fig.3):…”

Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 64%

“…It can be shown that this equation has the following exact, static, single kink (anti-kink) solution [23]:…”

Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 99%

“…The energy-momentum tensor of the true vacuum (φ = 2nπ) vanishes, while for the false vacuum (φ = (2n + 1)π), it is non-vanishing [23]:…”

Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 99%

“…False vacuua develop if ǫ > 0.25 [23]. The harmonic term in this potential can result from the Fourier expansion of an arbitrary, periodic potential V (φ) = V (φ + 2nπ).…”

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confidence: 99%

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Interaction properties of the periodic and step-like solutions of the double-Sine-Gordon equation

et al. 2009

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The periodic and step-like solutions of the double-Sine-Gordon equation are investigated, with different initial conditions and for various values of the potential parameter ǫ. We plot energy and force diagrams, as functions of the inter-soliton distance for such solutions. This allows us to consider our system as an interacting many-body system in 1 + 1 dimension.We therefore plot state diagrams (pressure vs. average density) for step-like as well as periodic solutions.Step-like solutions are shown to behave similarly to their counterparts in the Sine-Gordon system. However, periodic solutions show a fundamentally different behavior as the parameter ǫ is increased. We show that two distinct phases of periodic solutions exist which exhibit manifestly different behavior. Response functions for these phases are shown to behave differently, joining at an apparent phase transition point.

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Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 64%

“…It can be shown that this equation has the following exact, static, single kink (anti-kink) solution [23]:…”

Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 99%

“…The energy-momentum tensor of the true vacuum (φ = 2nπ) vanishes, while for the false vacuum (φ = (2n + 1)π), it is non-vanishing [23]:…”

Section: Basic Properties Of the Double Sine-gordon Systemmentioning

confidence: 99%

“…False vacuua develop if ǫ > 0.25 [23]. The harmonic term in this potential can result from the Fourier expansion of an arbitrary, periodic potential V (φ) = V (φ + 2nπ).…”

mentioning

confidence: 99%

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Interaction properties of the periodic and step-like solutions of the double-Sine-Gordon equation

et al. 2009

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“…We described in this paper and elsewhere [2,11], that interesting and rich behavior may result by suitable modifications of the sineGordon equation irrespective of being integrable or not. Removal of mass degeneracy, soliton confinement, and soliton decay are among such properties.…”

Section: Discussionmentioning

confidence: 75%

Soliton decay in a coupled system of scalar fields

Riazi¹,

Azizi²,

Zebarjad³

2002

Phys. Rev. D

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A system of coupled scalar fields is introduced which possesses a spectrum of massive single-soliton solutions. Some of these solutions are unstable and decay into lower mass stable solitons. Some properties of the solutions are obtained using general principles including conservations of energy and topological charges. Rest energies are calculated via a variational scheme, and the dynamics of the coupled fields are obtained by solving the field equations numerically.

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Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

et al. 2019

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The Shannon-like entropic measure of spatially localized functions for a 5D braneworld generated by a double sine-Gordon (DSG) potential is evaluated. The differential configurational entropy (DCE) has been shown in several recent works to be a configurational informational measure (CIM) that selects critical points and brings out phase transitions in confined energy models with arbitrary parameters. The DSG scenario is selected because it presents an energy-degenerate spatially localized profile where the solutions to the scalar field demonstrate critical behavior that is only a result of geometrical effects. As is shown, the DCE evaluation provides a method for predicting the existence of a transition between the phases of the domain wall solutions. Moreover, the entropic measure reveals information about the model that is capable of describing the phase sector where resonance modes on the massive spectra of the graviton is obtained. The graviton resonance lifetimes are related to the existence of scales on which 4D gravity is recovered. Thus, the critical points defined by the CIMs with the existence of resonances and their lifetimes are correlated. To extend the research regarding this system, the corrections to Newton's law coming from the graviton modes are calculated.

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Untitled

Cited by 24 publications

References 15 publications

Interaction properties of the periodic and step-like solutions of the double-Sine-Gordon equation

Interaction properties of the periodic and step-like solutions of the double-Sine-Gordon equation

Soliton decay in a coupled system of scalar fields

Configurational Entropy and Newton's Law in Double Sine‐Gordon Braneworlds

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