On replicas

Kanno, Tsuneo

doi:10.2748/tmj/1178244587

Cited by 5 publications

(4 citation statements)

References 7 publications

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“…The deeper regions of the atmosphere are hotter, so more flux emerges in this polarization state. Nearly complete polarization can result for the thermal emission (Kanno 1975; Pavlov & Shibanov 1978; Ventura, Nagel & Meszaros 1979).…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the different polarizations should be added together appropriately. If nothing happens to the photons and their polarization as they propagate from the NS surface, then the polarizations observed at infinity can be added rather simply, as was performed by Kanno (1975) in a simple model for the atmosphere. Pavlov & Zavlin (2000) used a more realistic atmosphere and calculated the net observed polarization while taking the effects that general relativity (GR) has on the magnetic field and on light ray bending.…”

Section: Introductionmentioning

confidence: 99%

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The high-energy polarization-limiting radius of neutron star magnetospheres -- I. Slowly rotating neutron stars

Heyl

Shaviv

Lloyd

2003

Monthly Notices of the Royal Astronomical Society

101

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In the presence of strong magnetic fields, the vacuum becomes a birefringent medium. We show that this quantum electrodynamics effect decouples the polarization modes of photons leaving the neutron star (NS) surface. Both the total intensity and the intensity in each of the two modes are preserved along the path of a ray through the NS magnetosphere. We analyse the consequences that this effect has on aligning the observed polarization vectors across the image of the stellar surface to generate large net polarizations. In contrast to previous predictions, we show that the thermal radiation of NSs should be highly polarized even in the optical. When detected, this polarization will be the first demonstration of vacuum birefringence. It could be used as a tool to prove the high magnetic field nature of anomalous X-ray pulsars (AXPs) and it could also be used to constrain physical NS parameters, such as R/M, to which the net polarization is sensitive.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The high-energy polarization-limiting radius of neutron star magnetospheres -- I. Slowly rotating neutron stars

Heyl

Shaviv

Lloyd

2003

Monthly Notices of the Royal Astronomical Society

101

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“…Since from what we have seen, %(H(%(H))) = %(H) and ife^(G) = *nίG). The lemma 2 of [7] shows that Fϊ = H. gives a permutation of {££/, .,., Lt s f\ and P(X) = Π (X -L* /) is in [X] such that P(/) = 0. So %(H 0 ) is algebraic over 3<H) and 3(H 0 ) = δ (//).…”

Section: The Correspondences H-*%(h) and % -» H($s) Are The Inverses ...mentioning

confidence: 99%

“…Let H l9 9 H ι> X r , r roots, be a canonical base of β, from which G is constructed 7) ; let β Ω , ί) Ω be the tensor product of ίl and the additive group generated by (H 19 % H l9 X r9 r roots), (H l9 , H t ) respectively. β Ω is the Lie aegebra over β, and we denote also by H u X r etc.…”

Section: )mentioning

confidence: 99%

Some remarks on algebraic groups

Abe¹,

Kanno

1959

Tohoku Math. J. (2)

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In the section 1 we give a Galois correspondence between a family of subfields of the function field of a connected algebraic group G and a family of algebraic subgroups of G. Generally, if the universal domain is of characteristic p > 0, any algebraic subalgebras of the Lie algebras of algebraic groups are />-algebras, but the converse is not true. In the section 2 we give a necessary and sufficient condition for />-subalgebra of the Lie algebra Q of G to be algebraic, and we show that a subalgebra is a />-subalgebra if and only if it is replica closed. If G is affine, the ^-subalgebra generated by one element of g is not only replica closed but algebraic. We treat />-subalgebras generated by one element in the section 3. In the section 4 we give some examples showing that />-subalgebras of Q are not generally algebraic and that the global analogy of the characterization of algebraic subalgebras does not hold even if the universal domain is of characteristic 0.

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Finite temperature properties of a supersolid: a RPA approach

Stoffel

Gulácsi

2009

Eur. Phys. J. B

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Abstract. We study in random-phase approximation the newly discovered supersolid phase of 4 He and present in detail its finite temperature properties.4 He is described within a hard-core quantum lattice gas model, with nearest and next-nearest neighbour interactions taken into account. We rigorously calculate all pair correlation functions in a cumulant decoupling scheme. Our results support the importance of the vacancies in the supersolid phase. We show that in a supersolid the net vacancy density remains constant as function of temperature, contrary to the thermal activation theory. We also analyzed in detail the thermodynamic properties of a supersolid, calculated the jump in the specific heat which compares well to the recent experiments. PACS

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On replicas

Cited by 5 publications

References 7 publications

The high-energy polarization-limiting radius of neutron star magnetospheres -- I. Slowly rotating neutron stars

The high-energy polarization-limiting radius of neutron star magnetospheres -- I. Slowly rotating neutron stars

Some remarks on algebraic groups

Finite temperature properties of a supersolid: a RPA approach

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