Renormalization Group - Revision history

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-bold italic upsilon &#120650;
+bold italic [https://en.wikipedia.org/wiki/Upsilon upsilon] &#120650;
 ==References==
 [[Category: Physics]]

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 towards the Curie temperature, alignment of one moment causes preferential
 alignment out to a considerable distance called the correlation length &xi;.
 ==References==
 [[Category: Physics]]

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 thermal fluctuations prevent magnetic order. As the temperature is reduced
 towards the Curie temperature, alignment of one moment causes preferential
-alignment out to a considerable distance called the correlation length
+alignment out to a considerable distance called the correlation length &xi;.
 ==References==
 [[Category: Physics]]

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 The primary solution described here is [[Phase Transitions]], especially phase transitions in iron.
 ==References==
 [[Category: Physics]]

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 ==Full Title or Meme==
-[[Renormalization Group]]s are used to solve a difficult class of problems where fluctuations persist out to macroscopic wavelengths, and fluctuations on all intermediate length scales are important but cannot be solved by averages. This is most commonly seen in weather pattern which break flows into swirls and branches at very large scales as well as micro bursts at much smaller scales.
+[[Renormalization Group]]s are used to solve a difficult class of problems where fluctuations persist out to macroscopic wavelengths, and fluctuations on all intermediate length scales are important but cannot be solved by averages. This is most commonly seen in weather pattern which break flows into swirls and branches at very large scales as well as micro bursts at much smaller scales down to millimeters. At smaller scales viscosity damps the eddies and turbulent fluctuationfd are not seen until atomic scales are reached.
 ==Context==

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 described, and important questions defined. The renormalization group will be presented as an improvement to Landau’s theory.<ref>Landau and Lifshitz ''Statistical Physics'' (1958) Addison Wesley Chapter XIV</ref>
 The Curie point of a ferromagnet will be used as a specific example of a critical point. Below the Curie temperature, an ideal ferromagnet exhibits spontaneous magnetization in the absence of’ an external magnetic field; the direction of’ the magnetization depends on the history of the magnet. Above the Curie temperature Tc, there is no spontaneous magnetization.<ref>Ken Wilson, ''Nobel Prize Lecture'' (2018-06) https://www.nobelprize.org/uploads/2018/06/wilson-lecture-2.pdf</ref>
 ==References==
 [[Category: Physics]]

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 ==Solution==
-The “renormalization group” approach is a strategy for dealing with problems
+The [[Renormalization Group]] approach is a strategy for dealing with problems
 involving many length scales. The strategy is to tackle the problem in steps, one
-step for each length scale. In the case of critical phenomena, the problem, tech�nically, is to carry out statistical averages over thermal fluctuations on all size
+step for each length scale. In the case of critical phenomena, the problem, technically, is to carry out statistical averages over thermal fluctuations on all size scales. The renormalization group approach is to integrate out the fluctuations
 in sequence starting with fluctuations on an atomic scale and then moving to
 successively larger scales until fluctuations on all scales have been averaged out,
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 point. Below the Curie temperature, an ideal ferromagnet exhibits spontaneous
 magnetization in the absence of’ an external magnetic field; the direction of’ the
-magnetization depends on the history of the magnet. Above the Curie tempera�ture Tc, there is no spontaneous magnetization.
+magnetization depends on the history of the magnet. Above the Curie temperature Tc, there is no spontaneous magnetization.<ref>Ken Wilson, ''Nobel Prize Lecture'' (2018-06) https://www.nobelprize.org/uploads/2018/06/wilson-lecture-2.pdf</ref>