Resonant emergence of global and local spatiotemporal order in a nonlinear field model

Gleiser, Marcelo; Howell, Rafael C.

doi:10.1103/physreve.68.065203

Cited by 40 publications

(57 citation statements)

References 19 publications

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“…We will compute the change in relative configurational entropy as the field is tossed out of equilibrium during the symmetry-breaking process. Previous work has shown how, for certain types of quench, oscillons naturally emerge during symmetry breaking [15,17]. Our results show quantitatively that the emergence of these localized coherent structures coincide with the largest departures from equilibrium and that they carry the most information content, in the sense defined in Section III.…”

Section: Introductionsupporting

confidence: 59%

“…The low k, out of equilibrium modes that are parametrically amplified after the quench are the ones responsible for oscillon formation. Oscillons emerge synchronously after the quench as the system is tossed out of equilibrium, and then slowly disappear as the field evolves towards its new equilibrium state [15,17].…”

Section: B Hartree Approximation and Oscillon Emergencementioning

confidence: 99%

“…We refer the reader to Ref. [17] for details. Conceivably, if the driving oscillation of the zero mode could be maintained, oscillons would also remain in the system.…”

Section: Information Content Of Coherent Field Configurationsmentioning

confidence: 99%

“…In the context of 2d [17] and 3d [15] models, it has been shown that when quenching a thermalized field from the symmetric to the double-well potential (here, from α = 0 to α = 3/2), large-amplitude fluctuations about the vacuum state give rise to oscillon formation as the system evolves towards thermal equilibrium in the new potential. In other words, coherent, spatially-extended configurations develop spontaneously when an initially featureless system is tossed out of equilibrium.…”

Section: The Modelmentioning

confidence: 99%

“…During the past decade or so [11], oscillons were shown to exist in models with a single self-interacting scalar field in dimensions d ≤ 6 [12] and in many models with gauge fields, Abelian [13] and nonAbelian [14,15], including the Standard Model [16]. They can be exceedingly long-lived, self-supported by their nontrivial interactions due to feedback from parametric resonance [15,17]. Oscillons can also play an important role in cosmology, as reported in recent work [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Information content of spontaneous symmetry breaking

2012

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We propose a measure of order in the context of nonequilibrium field theory and argue that this measure, which we call relative configurational entropy (RCE), may be used to quantify the emergence of coherent low-entropy configurations, such as time-dependent or time-independent topological and nontopological spatially-extended structures. As an illustration, we investigate the nonequilibrium dynamics of spontaneous symmetry-breaking in three spatial dimensions. In particular, we focus on a model where a real scalar field, prepared initially in a symmetric thermal state, is quenched to a broken-symmetric state. For a certain range of initial temperatures, spatiallylocalized, long-lived structures known as oscillons emerge in synchrony and remain until the field reaches equilibrium again. We show that the RCE correlates with the number-density of oscillons, thus offering a quantitative measure of the emergence of nonperturbative spatiotemporal patterns that can be generalized to a variety of physical systems.

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Section: Introductionsupporting

confidence: 59%

Section: B Hartree Approximation and Oscillon Emergencementioning

confidence: 99%

“…We refer the reader to Ref. [17] for details. Conceivably, if the driving oscillation of the zero mode could be maintained, oscillons would also remain in the system.…”

Section: Information Content Of Coherent Field Configurationsmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Information content of spontaneous symmetry breaking

2012

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Oscillon lifetime in the presence of quantum fluctuations

Saffin

Tognarelli

Tranberg

2014

J. High Energ. Phys.

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Abstract:We consider the stability of oscillons in 2+1 space-time dimensions, in the presence of quantum fluctuations. Taking the oscillon to be the inhomogeneous mean field of a self-interacting quantum scalar field, we compare its classical evolution to the evolution in the presence of quantum fluctuations. The evolution of these and their back reaction onto the mean field is implemented through the inhomogeneous Hartree approximation, in turn computed as a statistical ensemble of field realizations. We find that although the lifetime of the oscillon is dramatically reduced compared to the classical limit, the regions of longevity are similar in the space of Gaussian initial configurations.

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d-Dimensional oscillating scalar field lumps and the dimensionality of space

Gleiser

2004

Physics Letters B

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Extremely long-lived, time-dependent, spatially-bound scalar field configurations are shown to exist in d spatial dimensions for a wide class of polynomial interactions parameterized as V (φ) = h n=1 gn n! φ n . Assuming spherical symmetry and if V ′′ < 0 for a range of values of φ(t, r), such configurations exist if: i) spatial dimensionality is below an upper-critical dimension dc; ii) their radii are above a certain value Rmin. Both dc and Rmin are uniquely determined by V (φ). For example, symmetric double-well potentials only sustain such configurations if d ≤ 6 and R 2 ≥ d[3(2 3/2 /3) d − 2] −1/2 . Asymmetries may modify the value of dc. All main analytical results are confirmed numerically. Such objects may offer novel ways to probe the dimensionality of space.

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Resonant emergence of global and local spatiotemporal order in a nonlinear field model

Cited by 40 publications

References 19 publications

Information content of spontaneous symmetry breaking

Information content of spontaneous symmetry breaking

Oscillon lifetime in the presence of quantum fluctuations

d-Dimensional oscillating scalar field lumps and the dimensionality of space

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