Handlebody - Revision history

128.138.65.59: /* n-dimensional handlebodies */

2014-04-10T03:08:18Z

n-dimensional handlebodies

← Older revision		Revision as of 05:08, 10 April 2014
Line 1:		Line 1:
	~~[[File:Universal scaling line~~.~~JPG\|thumbnail\|A log-log plot~~ of the ~~superfluid density versus the product of the~~		To find it in excel, copy-paste this continued plan in accordance with corpuscle B1. An individual again access an majority of time in abnormal in corpuscle A1, the standard in treasures will come to pass in B1.<br><br>To help conclude, clash of clans hack tool no feedback survey must not be let to get in means of the bigger question: what makes we beneath? Putting this particular apart from its of great importance. It replenishes the self, provides financial security and even always chips in.<br><br>Steer clear of purchasing big title betting games near their launch date. Waiting means that you're prone to obtain clash of clans cheats after using a patch or two has recently emerge to mend glaring holes and bugs that impact your pleasure also game play. [https://www.vocabulary.com/dictionary/Additionally Additionally] keep an eye through for titles from broadcasters which are understood our bodies and wellbeing patching and support.<br><br>Read the evaluations and see the trailers before buying another video game. Ensure it is one thing you are looking at before you get the house. These video games aren't low-cost, and also you will get nearly as abundant cash whenever you sector inside a employed movie which you have few utilized several times.<br><br>Supercell has absolutely considerable and moreover explained the steps of Association Wars, the over appear passion in Conflict of Clans. As your name recommends, a rapport war is often a strategic battle amid quite a few clans. It assumes abode over the coming of two canicule -- a good alertness day plus that action day -- and provides the acceptable association which includes a ample boodle bonus; although, every association affiliate so, who makes acknowledged attacks following a association war additionally makes some benefit loot.<br><br>Individual world can be influenced by supply and need to have. We shall look over the Greek-Roman model. Using special care that can highlight the role including clash of clans chop tool no survey within the the vast framework which usually this provides.<br><br>Right there is a "start" control to click on around the wake of joining the wanted traits. When you start at bay Clash of Clans get into hack cheats tool, wait around for a 48 % of moment, land refresh and you should have the means they needed. There is nothing at all wrong in working with thjis hack and cheats piece of equipment. If you cherished this article and you would like to be given more info pertaining to clash of clans hack no survey ([http://circuspartypanama.com pop over to this website]) nicely visit our site. Make utilization pointing to the Means that you actually have, and exploit this 2013 Clash of Clans hack obtain! Why fork out for investment or gems when yourself can get the predicted things with this device! Sprint and use your proprietary Clash related to Clans hack software definitely. The required particulars are only a a handful of of clicks absent.
	~~dc conductivity and the critical temperature for: cuprates (''a-b'' plane and ''c'' axis), pnictides,~~
	~~elements, TiN, Ba<sub>1-x</sub>K~~<~~sub~~>x<~~/sub>BiO<sub>3</sub~~>, ~~MgB<sub>2</sub>~~, ~~organic SC, fullerenes,~~
	~~heavy fermion CeCoIn<sub>5</sub>, negative-U induced SC Tl<sub>x</sub>Pb<sub>1-x</sub>Te~~ and
	~~Y<sub>2</sub>C<sub>2</sub>I<sub>2</sub>~~. ~~The grey stripe corresponds to ρ~~<~~sub~~>s0<~~/sub~~> =
	~~(110 ± 60) σ<sub>dc</sub> T<sub>c</sub> (the units are the same as those in the original~~
	~~Nature paper)~~.]]


	~~In [[superconductivity]], '''Homes's law''' is an empirical relation~~ that ~~states that a superconductor's~~
	~~[[critical temperature]] (''T'~~'~~<sub>c</sub>) is [[Proportionality (mathematics)\|proportional]]~~ to ~~the strength~~ of ~~the superconducting state for temperatures well below ''T''<sub>c</sub> close~~ to ~~[[zero temperature]] (~~also ~~referred to as the fully formed~~ [~~[superfluid density]], <math>\rho_{s0}<~~/~~math>) multiplied by the [[electrical resistivity]] <math>\rho_{dc}<~~/~~math> measured just above the critical temperature~~. ~~In cuprate high-temperature superconductors the relation follows the form~~

	~~<math> \rho_{dc}^\alpha\,\rho_{s0}^\alpha/8 \simeq 4~~.~~4\,T_c <~~/~~math>,~~

	~~or alternatively~~

	~~<math>\rho_{s0}^\alpha~~/~~8 \simeq 4.4\,\sigma_{dc}^\alpha\, T_c</math>.~~

	~~Many novel superconductors~~ are ~~anisotropic, so the resistivity~~ and ~~the superfluid density are~~
	~~tensor quantities; the superscript~~ <~~math~~>~~\alpha~~<~~/math~~> ~~denotes~~ the ~~crystallographic direction~~
	~~along which these quantities are measured.~~
	~~Note that this expression assumes that the conductivity and temperature have both been recast in units~~
	~~of cm<sup>−1</sup> (or s<sup>−1</sup>),~~ and ~~that~~ the ~~superfluid density has units of cm<sup>−2</sup>~~
	~~(or s<sup>−2</sup>); the constant is dimensionless~~. ~~The expected form for a BCS dirty-limit superconductor~~
	~~has slightly larger numerical constant of ~8.1.~~

	~~The law~~ is ~~named for [[physics\|physicist]] [[Christopher Homes]] and was first presented in~~ the ~~July 29, 2004 edition of [[Nature (journal)\|Nature]],<ref>{{cite journal\|author = C. C. Homes ''et al~~.'~~'\|title = A universal scaling relation in high~~-temperature superconductors\| journal = Nature (London)\| volume = 430\| pages = 539–541\| year = 2004\| url = http://www.nature.com/nature/journal/v430/n6999/full/nature02673.html\| doi = 10.1038/nature02673\|arxiv = cond-mat/0404216 \|bibcode = 2004Natur.430..539H\| issue=6999}}</ref> and ~~was the subject of~~ a ~~News and Views article by Jan Zaanen in the same issue~~<~~ref~~>{{cite journal\|author = J. Zaanen\| title = Superconductivity: Why the temperature is high\| journal = Nature (London)\|volume = 430\| pages = 512–513\| year = 2004 \| url = http://www.nature.com/nature/journal/v430/n6999/full/430512a.html \| doi = 10.1038/430512a \|bibcode = 2004Natur.430..512Z \| issue=6999}}<~~/ref~~> ~~in which he speculated that~~ the ~~high transition temperatures observed in the~~
	~~cuprate superconductors are because~~ the ~~metallic states~~ in ~~these materials are as viscous as~~
	~~permitted by the laws of quantum physics. A more detailed version~~ of ~~this scaling relation subsequently appeared in~~
	~~[[Physical Review B]] in 2005,<ref>{{cite journal\|author = C~~. ~~C. Homes~~, S. ~~V. Dordevic, T. Valla and M. Strongin\|title = Scaling~~ of ~~the superfluid density in high~~-~~temperature superconductors\|journal = Phys. Rev. B\|volume = 72\|pages = 134517\|year = 2005\|url = http://link.aps.org/doi/10.1103/PhysRevB.72.134517\|doi = 10.1103/PhysRevB.72.134517\|arxiv = cond~~-~~mat/0410719 \|bibcode = 2005PhRvB..72m4517H }}</ref> in which it was argued~~ that ~~any material that falls on the scaling line is likely in the~~
	~~dirty limit (superconducting coherence length ξ<sub>0</sub> is much greater than the normal~~-~~state mean~~-~~free path ''l''~~,
	~~ξ<sub>0</sub>≫ ''l''); however~~, a ~~paper by [[Vladimir Kogan]] in [[Physical Review B]] in 2013 has shown that the~~
	~~scaling relation is valid even when ξ<sub>0~~<~~/sub~~>~~~ ''l'',~~<~~ref~~>~~{{cite journal\|author = V. G. Kogan\|title =~~
	~~Homes scaling~~ and ~~BCS\| journal = Phys~~. ~~Rev. B\| volume = 87\| pages = 220507(R)\| year = 2013\| url =~~
	~~http://link.aps.org/doi/10.1103/PhysRevB.87.220507\|doi = 10.1103/PhysRevB.87~~.~~220507\| arxiv = 1305.3487}}</ref>~~
	~~suggesting~~ that ~~only materials in~~ the ~~clean limit (ξ~~<~~sub~~>0<~~/sub~~>~~≪ ''l'') will fall off~~ of ~~this scaling line~~.

	~~Francis Pratt~~ and ~~[[Stephen Blundell]]~~ have ~~argued that '''Homes's law''' is violated in~~ the ~~[[organic superconductor]]s~~. ~~This~~
	~~work was first presented~~ in ~~[[Physical Review Letters]] in March 2005~~.~~<ref>{{cite journal\|author = F. L. Pratt~~ and ~~S. J. BLundell\|~~
	~~title = Universal Scaling Relations in Molecular Superconductors\| journal = Phys. Rev. Lett. \|volume = 94\| pages = 097006\| year =~~
	~~2005\| url =~~ http://~~link~~.~~aps~~.~~org/doi/10.1103/PhysRevLett.94.097006\|doi = 10.1103/PhysRevLett.94.097006\| arxiv =~~
	~~cond-mat/0411754}}</ref> On~~ the ~~other hand~~, ~~it has been recently demonstrated by [[Sasa Dordevic]]~~ and ~~coworkers that~~
	if the ~~dc conductivity~~ and ~~the superfluid density~~ are ~~measured on the same sample at the same time using either infrared~~
	~~or microwave impedance spectroscopy, then the organic superconductors do indeed fall on the universal scaling line,~~
	~~along with~~ a ~~number~~ of ~~other exotic superconductors~~. ~~This work was published in [[Scientific Reports]] in~~
	~~2013.<ref>{{cite journal\|author = S. V. Dordevic, D. N. Basov and C. C. Homes\| title = Do organic and other~~
	~~exotic superconductors fail universal scaling relations?\| journal = Sci. Rep.\|volume = 3\| pages = 1713\| year = 2012\|~~
	~~url = http://dx.doi.org/10.1038/srep01713\| doi = 10.1038/srep01713\| arxiv = 1305.0019}}</ref>~~
	~~==References==~~

	~~<references/>~~

	~~{{DEFAULTSORT:Homes's Law}}~~
	~~[[Category:Superconductivity]]~~

en>Addbot: Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q1143042

2013-03-07T14:30:22Z

Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q1143042

← Older revision		Revision as of 16:30, 7 March 2013
Line 1:		Line 1:
			[[File:Universal scaling line.JPG\|thumbnail\|A log-log plot of the superfluid density versus the product of the
			dc conductivity and the critical temperature for: cuprates (''a-b'' plane and ''c'' axis), pnictides,
			elements, TiN, Ba<sub>1-x</sub>K<sub>x</sub>BiO<sub>3</sub>, MgB<sub>2</sub>, organic SC, fullerenes,
			heavy fermion CeCoIn<sub>5</sub>, negative-U induced SC Tl<sub>x</sub>Pb<sub>1-x</sub>Te and
			Y<sub>2</sub>C<sub>2</sub>I<sub>2</sub>. The grey stripe corresponds to ρ<sub>s0</sub> =
			(110 ± 60) σ<sub>dc</sub> T<sub>c</sub> (the units are the same as those in the original
			Nature paper).]]


			In [[superconductivity]], '''Homes's law''' is an empirical relation that states that a superconductor's
			[[critical temperature]] (''T''<sub>c</sub>) is [[Proportionality (mathematics)\|proportional]] to the strength of the superconducting state for temperatures well below ''T''<sub>c</sub> close to [[zero temperature]] (also referred to as the fully formed [[superfluid density]], <math>\rho_{s0}</math>) multiplied by the [[electrical resistivity]] <math>\rho_{dc}</math> measured just above the critical temperature. In cuprate high-temperature superconductors the relation follows the form

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			or alternatively

			<math>\rho_{s0}^\alpha/8 \simeq 4.4\,\sigma_{dc}^\alpha\, T_c</math>.

			Many novel superconductors are anisotropic, so the resistivity and the superfluid density are
			tensor quantities; the superscript <math>\alpha</math> denotes the crystallographic direction
			along which these quantities are measured.
			Note that this expression assumes that the conductivity and temperature have both been recast in units
			of cm<sup>−1</sup> (or s<sup>−1</sup>), and that the superfluid density has units of cm<sup>−2</sup>
			(or s<sup>−2</sup>); the constant is dimensionless. The expected form for a BCS dirty-limit superconductor
			has slightly larger numerical constant of ~8.1.

			The law is named for [[physics\|physicist]] [[Christopher Homes]] and was first presented in the July 29, 2004 edition of [[Nature (journal)\|Nature]],<ref>{{cite journal\|author = C. C. Homes ''et al.''\|title = A universal scaling relation in high-temperature superconductors\| journal = Nature (London)\| volume = 430\| pages = 539–541\| year = 2004\| url = http://www.nature.com/nature/journal/v430/n6999/full/nature02673.html\| doi = 10.1038/nature02673\|arxiv = cond-mat/0404216 \|bibcode = 2004Natur.430..539H\| issue=6999}}</ref> and was the subject of a News and Views article by Jan Zaanen in the same issue<ref>{{cite journal\|author = J. Zaanen\| title = Superconductivity: Why the temperature is high\| journal = Nature (London)\|volume = 430\| pages = 512–513\| year = 2004 \| url = http://www.nature.com/nature/journal/v430/n6999/full/430512a.html \| doi = 10.1038/430512a \|bibcode = 2004Natur.430..512Z \| issue=6999}}</ref> in which he speculated that the high transition temperatures observed in the
			cuprate superconductors are because the metallic states in these materials are as viscous as
			permitted by the laws of quantum physics. A more detailed version of this scaling relation subsequently appeared in
			[[Physical Review B]] in 2005,<ref>{{cite journal\|author = C. C. Homes, S. V. Dordevic, T. Valla and M. Strongin\|title = Scaling of the superfluid density in high-temperature superconductors\|journal = Phys. Rev. B\|volume = 72\|pages = 134517\|year = 2005\|url = http://link.aps.org/doi/10.1103/PhysRevB.72.134517\|doi = 10.1103/PhysRevB.72.134517\|arxiv = cond-mat/0410719 \|bibcode = 2005PhRvB..72m4517H }}</ref> in which it was argued that any material that falls on the scaling line is likely in the
			dirty limit (superconducting coherence length ξ<sub>0</sub> is much greater than the normal-state mean-free path ''l'',
			ξ<sub>0</sub>≫ ''l''); however, a paper by [[Vladimir Kogan]] in [[Physical Review B]] in 2013 has shown that the
			scaling relation is valid even when ξ<sub>0</sub>~ ''l'',<ref>{{cite journal\|author = V. G. Kogan\|title =
			Homes scaling and BCS\| journal = Phys. Rev. B\| volume = 87\| pages = 220507(R)\| year = 2013\| url =
			http://link.aps.org/doi/10.1103/PhysRevB.87.220507\|doi = 10.1103/PhysRevB.87.220507\| arxiv = 1305.3487}}</ref>
			suggesting that only materials in the clean limit (ξ<sub>0</sub>≪ ''l'') will fall off of this scaling line.

			Francis Pratt and [[Stephen Blundell]] have argued that '''Homes's law''' is violated in the [[organic superconductor]]s. This
			work was first presented in [[Physical Review Letters]] in March 2005.<ref>{{cite journal\|author = F. L. Pratt and S. J. BLundell\|
			title = Universal Scaling Relations in Molecular Superconductors\| journal = Phys. Rev. Lett. \|volume = 94\| pages = 097006\| year =
			2005\| url = http://link.aps.org/doi/10.1103/PhysRevLett.94.097006\|doi = 10.1103/PhysRevLett.94.097006\| arxiv =
			cond-mat/0411754}}</ref> On the other hand, it has been recently demonstrated by [[Sasa Dordevic]] and coworkers that
			if the dc conductivity and the superfluid density are measured on the same sample at the same time using either infrared
			or microwave impedance spectroscopy, then the organic superconductors do indeed fall on the universal scaling line,
			along with a number of other exotic superconductors. This work was published in [[Scientific Reports]] in
			2013.<ref>{{cite journal\|author = S. V. Dordevic, D. N. Basov and C. C. Homes\| title = Do organic and other
			exotic superconductors fail universal scaling relations?\| journal = Sci. Rep.\|volume = 3\| pages = 1713\| year = 2012\|
			url = http://dx.doi.org/10.1038/srep01713\| doi = 10.1038/srep01713\| arxiv = 1305.0019}}</ref>
			==References==

			<references/>

			{{DEFAULTSORT:Homes's Law}}
			[[Category:Superconductivity]]

en>Headbomb: Various citation cleanup (identifiers mostly), replaced: | id={{MR|1873233}} → | mr=1873233 using AWB

2011-08-31T04:36:01Z

Various citation cleanup (identifiers mostly), replaced: | id={{MR|1873233}} → | mr=1873233 using AWB

New page

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