en>Monkbot: /* References */Task 3: Fix CS1 deprecated coauthor parameter errors

2014-05-08T05:02:07Z

References: Task 3: Fix CS1 deprecated coauthor parameter errors

← Older revision		Revision as of 07:02, 8 May 2014
Line 1:		Line 1:
	~~[[Image:Arrott plot mean field.png\|230px\|thumb\|right\|Arrott plot for a simple mean field ferromagnetic phase transition.]]~~		Hello, I'm Brittney, a 29 year old from Oulx, Italy.<br>My hobbies include (but are not limited to) Freerunning, Record collecting and watching 2 Broke Girls.<br><br>My blog [http://www.youtube.com/watch?v=WYnQJLcuZfM vibrator for women]
	~~In [[condensed matter physics]]~~, an '~~''Arrott plot''' is a plot of the square of the [[magnetization]] <math>M^2</math> of a substance~~, against the ratio of the applied magnetic field to magnetization <math>H/M</math> at one (or several) fixed temperature(s). Arrott plots are an easy way of determining the presence of [[ferromagnetism\|ferromagnetic order]] in a ~~material.<ref name=yeung86>~~
	~~{{cite journal~~
	~~\|last1=Yeung \|first1=I.~~
	~~\|last2=Roshko \|first2=R.~~
	~~\|last3=Williams \|first3=G.~~
	\|year~~=1986~~
	~~\|title=Arrott-plot criterion for ferromagnetism in disordered systems~~
	~~\|journal=[[Physical Review B]]~~
	~~\|volume=34 \|issue=5 \|pages=3456–3457~~
	~~\|bibcode=1986PhRvB~~.~~.34.3456Y~~
	~~\|doi=10.1103/PhysRevB.34.3456~~
	~~}}</ref>~~<~~ref name=magnetism-book~~>
	~~{{cite book~~
	~~\|editor-last1=du Trémolet de Lacheisserie \|editor-first1=E.~~
	~~\|title=Magnetism~~
	~~\|year=2005~~
	~~\|publisher=[[Springer~~ (~~publisher)\|Springer]]~~
	~~\|isbn=978-0-387-22967-6~~
	~~}}</ref> They~~ are ~~named after American physicist Anthony Arrott who introduced them as a technique for studying magnetism in 1957.<ref name=arrott>~~
	~~{{cite journal~~
	~~\|last1=Arrott \|first1=A.~~
	~~\|year=1957~~
	~~\|title=Criterion for Ferromagnetism from Observations of Magnetic Isotherms~~
	~~\|journal=[[Physical Review]]~~
	~~\|volume=108 \|issue=6 \|pages=1394–1396~~
	~~\|bibcode = 1957PhRv..108.1394A~~
	~~\|doi=10.1103/PhysRev.108.1394~~
	~~}}</ref>~~

	~~==Details==~~
	~~According to the [[Ginzburg-Landau theory\|Ginzburg-Landau]] mean field picture for magnetism, the [[Thermodynamic free energy\|free energy]] of a ferromagnetic material close~~ to ~~a phase transition can be written as:~~

	~~<math>~~
	~~F(M~~)~~=-H M+a (T-T_c) M^2+BM^4+\ldots~~
	~~</math>~~

	~~where <math>M</math>, the magnetization, is the order parameter, <math>H</math> is the applied magnetic field, <math>T_c</math> is the critical temperature~~, and <~~math~~>~~a,b~~<~~/math~~> ~~are arbitrary constants.~~

	~~Close to the phase transition, this gives a relation for the magnetization order parameter~~:

	~~<math>~~
	~~M^2=\frac{1}{b}\frac{H}{M}-\frac{a}{b}\epsilon~~
	</~~math>~~

	~~where <math>\epsilon=\frac{T-T_c}{T_c}<~~/~~math> is a dimensionless measure of the temperature~~.

	~~Thus in a graph plotting <math>M^2</math> vs~~. ~~<math>H~~/M</math> for various temperatures, the line without an intercept corresponds to the dependence at the critical temperature. Thus along with providing evidence for the existence of a ferromagnetic phase, the Arrott plot can also be used to determine the critical temperature for the phase transition.<ref name=~~Hadimani2008>~~
	~~{{cite journal~~
	~~\|last1=Hadimani \|first1=R. L.~~
	~~\|last2=Melikhov \|first2=Y.~~
	~~\|last3=Snyder \|first3=J. E.~~
	~~\|last4=Jiles \|first4=D. C.~~
	~~\|year=2008~~
	~~\|title=Determination of Curie temperature by Arrott plot technique in Gd<sub>5</sub>(Si<sub>''x''</sub>Ge<sub>1−''x''</sub>)<sub>4</sub>~~ for ~~''x''>0.575~~
	~~\|journal=[[Journal of Magnetism and Magnetic Materials]]~~
	~~\|volume=320 \|issue=20 \|pages=e696–e698~~
	~~\|doi=10.1016/j.jmmm.2008.04.035~~
	~~}}</ref>~~

	~~==See also==~~
	*[[Curie–Weiss law]]

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Condensed matter physics]]~~
	~~[[Category:Magnetic ordering]~~]

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-19T15:41:03Z

Fix CS1 deprecated date parameter errors

New page

[[Image:Arrott plot mean field.png|230px|thumb|right|Arrott plot for a simple mean field ferromagnetic phase transition.]]
In [[condensed matter physics]], an '''Arrott plot''' is a plot of the square of the [[magnetization]] <math>M^2</math> of a substance, against the ratio of the applied magnetic field to magnetization <math>H/M</math> at one (or several) fixed temperature(s). Arrott plots are an easy way of determining the presence of [[ferromagnetism|ferromagnetic order]] in a material.<ref name=yeung86>
{{cite journal
|last1=Yeung |first1=I.
|last2=Roshko |first2=R.
|last3=Williams |first3=G.
|year=1986
|title=Arrott-plot criterion for ferromagnetism in disordered systems
|journal=[[Physical Review B]]
|volume=34 |issue=5 |pages=3456–3457
|bibcode=1986PhRvB..34.3456Y
|doi=10.1103/PhysRevB.34.3456
}}</ref><ref name=magnetism-book>
{{cite book
|editor-last1=du Trémolet de Lacheisserie |editor-first1=E.
|title=Magnetism
|year=2005
|publisher=[[Springer (publisher)|Springer]]
|isbn=978-0-387-22967-6
}}</ref> They are named after American physicist Anthony Arrott who introduced them as a technique for studying magnetism in 1957.<ref name=arrott>
{{cite journal
|last1=Arrott |first1=A.
|year=1957
|title=Criterion for Ferromagnetism from Observations of Magnetic Isotherms
|journal=[[Physical Review]]
|volume=108 |issue=6 |pages=1394–1396
|bibcode = 1957PhRv..108.1394A
|doi=10.1103/PhysRev.108.1394
}}</ref>

==Details==
According to the [[Ginzburg-Landau theory|Ginzburg-Landau]] mean field picture for magnetism, the [[Thermodynamic free energy|free energy]] of a ferromagnetic material close to a phase transition can be written as:

<math>
F(M)=-H M+a (T-T_c) M^2+BM^4+\ldots
</math>

where <math>M</math>, the magnetization, is the order parameter, <math>H</math> is the applied magnetic field, <math>T_c</math> is the critical temperature, and <math>a,b</math> are arbitrary constants.

Close to the phase transition, this gives a relation for the magnetization order parameter:

<math>
M^2=\frac{1}{b}\frac{H}{M}-\frac{a}{b}\epsilon
</math>

where <math>\epsilon=\frac{T-T_c}{T_c}</math> is a dimensionless measure of the temperature.

Thus in a graph plotting <math>M^2</math> vs. <math>H/M</math> for various temperatures, the line without an intercept corresponds to the dependence at the critical temperature. Thus along with providing evidence for the existence of a ferromagnetic phase, the Arrott plot can also be used to determine the critical temperature for the phase transition.<ref name=Hadimani2008>
{{cite journal
|last1=Hadimani |first1=R. L.
|last2=Melikhov |first2=Y.
|last3=Snyder |first3=J. E.
|last4=Jiles |first4=D. C.
|year=2008
|title=Determination of Curie temperature by Arrott plot technique in Gd5(Si''x''Ge1−''x'')4 for ''x''>0.575
|journal=[[Journal of Magnetism and Magnetic Materials]]
|volume=320 |issue=20 |pages=e696–e698
|doi=10.1016/j.jmmm.2008.04.035
}}</ref>

==See also==
*[[Curie–Weiss law]]

==References==
{{reflist}}

[[Category:Condensed matter physics]]
[[Category:Magnetic ordering]]

← Older revision		Revision as of 07:02, 8 May 2014
Line 1:		Line 1:
	~~[[Image:Arrott plot mean field.png\|230px\|thumb\|right\|Arrott plot for a simple mean field ferromagnetic phase transition.]]~~		Hello, I'm Brittney, a 29 year old from Oulx, Italy.<br>My hobbies include (but are not limited to) Freerunning, Record collecting and watching 2 Broke Girls.<br><br>My blog [http://www.youtube.com/watch?v=WYnQJLcuZfM vibrator for women]
	~~In [[condensed matter physics]]~~, an '~~''Arrott plot''' is a plot of the square of the [[magnetization]] <math>M^2</math> of a substance~~, against the ratio of the applied magnetic field to magnetization <math>H/M</math> at one (or several) fixed temperature(s). Arrott plots are an easy way of determining the presence of [[ferromagnetism\|ferromagnetic order]] in a ~~material.<ref name=yeung86>~~
	~~{{cite journal~~
	~~\|last1=Yeung \|first1=I.~~
	~~\|last2=Roshko \|first2=R.~~
	~~\|last3=Williams \|first3=G.~~
	\|year~~=1986~~
	~~\|title=Arrott-plot criterion for ferromagnetism in disordered systems~~
	~~\|journal=[[Physical Review B]]~~
	~~\|volume=34 \|issue=5 \|pages=3456–3457~~
	~~\|bibcode=1986PhRvB~~.~~.34.3456Y~~
	~~\|doi=10.1103/PhysRevB.34.3456~~
	~~}}</ref>~~<~~ref name=magnetism-book~~>
	~~{{cite book~~
	~~\|editor-last1=du Trémolet de Lacheisserie \|editor-first1=E.~~
	~~\|title=Magnetism~~
	~~\|year=2005~~
	~~\|publisher=[[Springer~~ (~~publisher)\|Springer]]~~
	~~\|isbn=978-0-387-22967-6~~
	~~}}</ref> They~~ are ~~named after American physicist Anthony Arrott who introduced them as a technique for studying magnetism in 1957.<ref name=arrott>~~
	~~{{cite journal~~
	~~\|last1=Arrott \|first1=A.~~
	~~\|year=1957~~
	~~\|title=Criterion for Ferromagnetism from Observations of Magnetic Isotherms~~
	~~\|journal=[[Physical Review]]~~
	~~\|volume=108 \|issue=6 \|pages=1394–1396~~
	~~\|bibcode = 1957PhRv..108.1394A~~
	~~\|doi=10.1103/PhysRev.108.1394~~
	~~}}</ref>~~

	~~==Details==~~
	~~According to the [[Ginzburg-Landau theory\|Ginzburg-Landau]] mean field picture for magnetism, the [[Thermodynamic free energy\|free energy]] of a ferromagnetic material close~~ to ~~a phase transition can be written as:~~

	~~<math>~~
	~~F(M~~)~~=-H M+a (T-T_c) M^2+BM^4+\ldots~~
	~~</math>~~

	~~where <math>M</math>, the magnetization, is the order parameter, <math>H</math> is the applied magnetic field, <math>T_c</math> is the critical temperature~~, and <~~math~~>~~a,b~~<~~/math~~> ~~are arbitrary constants.~~

	~~Close to the phase transition, this gives a relation for the magnetization order parameter~~:

	~~<math>~~
	~~M^2=\frac{1}{b}\frac{H}{M}-\frac{a}{b}\epsilon~~
	</~~math>~~

	~~where <math>\epsilon=\frac{T-T_c}{T_c}<~~/~~math> is a dimensionless measure of the temperature~~.

	~~Thus in a graph plotting <math>M^2</math> vs~~. ~~<math>H~~/M</math> for various temperatures, the line without an intercept corresponds to the dependence at the critical temperature. Thus along with providing evidence for the existence of a ferromagnetic phase, the Arrott plot can also be used to determine the critical temperature for the phase transition.<ref name=~~Hadimani2008>~~
	~~{{cite journal~~
	~~\|last1=Hadimani \|first1=R. L.~~
	~~\|last2=Melikhov \|first2=Y.~~
	~~\|last3=Snyder \|first3=J. E.~~
	~~\|last4=Jiles \|first4=D. C.~~
	~~\|year=2008~~
	~~\|title=Determination of Curie temperature by Arrott plot technique in Gd<sub>5</sub>(Si<sub>''x''</sub>Ge<sub>1−''x''</sub>)<sub>4</sub>~~ for ~~''x''>0.575~~
	~~\|journal=[[Journal of Magnetism and Magnetic Materials]]~~
	~~\|volume=320 \|issue=20 \|pages=e696–e698~~
	~~\|doi=10.1016/j.jmmm.2008.04.035~~
	~~}}</ref>~~

	~~==See also==~~
	*[[Curie–Weiss law]]

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Condensed matter physics]]~~
	~~[[Category:Magnetic ordering]~~]

General linear methods - Revision history

en>Monkbot: /* References */Task 3: Fix CS1 deprecated coauthor parameter errors

en>Monkbot: Fix CS1 deprecated date parameter errors