Nonequilibrium Relaxation Analysis of the Spin-Glass Correlation Length

Nakamura, Tota; Yamamoto, Takeo

doi:10.1143/ptps.157.42

Cited by 19 publications

(79 citation statements)

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“…Although many authors have been trying this [22,23,24,25], the complete formulation including matter perturbations is still a challenging problem.…”

Section: Discussion and Summarymentioning

confidence: 99%

Magnetic Field Generation from Cosmological Perturbations

et al. 2005

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In this letter, we discuss generation of magnetic field from cosmological perturbations. We consider the evolution of three component plasma (electron, proton and photon) evaluating the collision term between elecrons and photons up to the second order. The collision term is shown to induce electric current, which then generate magnetic field. There are three contributions, two of which can be evaluated from the first-order quantities, while the other one is fluid vorticity which is purely second order. We estimate the magnitudes of the former contributions and shows that the amplitude of the produced magnetic field is about ∼ 10 −19 G at 10Mpc comoving scale at the decoupling. Compared to astrophysical and inflationary mechanisms for seed-field generation, our study suffers from much less ambiguities concerning unknown physics and/or processes.

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“…Although many authors have been trying this [22,23,24,25], the complete formulation including matter perturbations is still a challenging problem.…”

Section: Discussion and Summarymentioning

confidence: 99%

Magnetic Field Generation from Cosmological Perturbations

et al. 2005

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“…The fluid velocity is subject to the constraint 9) and, to third order in the perturbations, has components…”

Section: Definitionsmentioning

confidence: 99%

“…This is the basis of cosmological perturbation theory, which has become a cornerstone of modern cosmology in the last half century (see for example Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13]). …”

Section: Introductionmentioning

confidence: 99%

Practical tools for third order cosmological perturbations

Christopherson

Malik

2009

J. Cosmol. Astropart. Phys.

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We discuss cosmological perturbation theory at third order, deriving the gauge transformation rules for metric and matter perturbations, and constructing third order gauge invariant quantities. We present the Einstein tensor components, the evolution equations for a perfect fluid, and the Klein-Gordon equation at third order, including scalar, vector and tensor perturbations. In doing so, we also give all second order tensor components and evolution equations in full generality.

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“…This gauge-invariant formulation is a natural extension of the first-order gauge-invariant cosmological perturbation theory [6][7][8]. References [5] give one of the applications for the gauge-invariant formulation of the second-order perturbation theory on the generic background spacetime developed in [9,10]. This general formulation is a byproduct of the investigations of the oscillatory behaviors of self-gravitating Nambu-Goto membranes [11].…”

Section: Introductionmentioning

confidence: 99%

“…[5], we defined the complete set of gaugeinvariant variables of the second-order cosmological perturbations in the Friedmann-Robertson-Walker universe based on the formulation developed in [9,10]. We also derived the second-order Einstein equations of cosmological perturbations in terms of these gauge-invariant variables without any gauge fixing.…”

Section: Introductionmentioning

confidence: 99%

Perturbations of matter fields in the second-order gauge-invariant cosmological perturbation theory

Nakamura

2009

Phys. Rev. D

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To show that the general framework of the second-order gauge-invariant perturbation theory developed by K. Nakamura [Prog. Theor. Phys. 110, 723 (2003); Prog. Theor. Phys. 113, 481 (2005)] is applicable to a wide class of cosmological situations, some formulas for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four-dimensional homogeneous isotropic universe, which is developed in Prog. Theor. Phys. 117, 17 (2007). We derive the formulas for the perturbations of the energy-momentum tensors and equations of motion for a perfect fluid, an imperfect fluid, and a single scalar field, and show that all equations are derived in terms of gauge-invariant variables without any gauge fixing. Through these formulas, we may say that the decomposition formulas for the perturbations of any tensor field into gauge-invariant and gauge-variant parts, which are proposed in the above papers, are universal.

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Nonequilibrium Relaxation Analysis of the Spin-Glass Correlation Length

Cited by 19 publications

References 0 publications

Magnetic Field Generation from Cosmological Perturbations

Magnetic Field Generation from Cosmological Perturbations

Practical tools for third order cosmological perturbations

Perturbations of matter fields in the second-order gauge-invariant cosmological perturbation theory

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