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==Peierls' argument==
 
==Peierls' argument==
 
Before the explicit solution by [[Lars Onsager]], Peierls put forward an ingenuous argument showing that
 
Before the explicit solution by [[Lars Onsager]], Peierls put forward an ingenuous argument showing that
βˆ’
the [[ Ising_Models#2-dimensional_Ising_model |  two-dimensional Ising model]] must have a phase transition (at a finite temperature). The argument considers the [[entropy]] associated with the interface between domains with different orientations (Ref. 1).
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the [[ Ising_Models#2-dimensional_Ising_model |  two-dimensional Ising model]] must have a phase transition (at a finite temperature). The argument considers the entropy associated with the interface between domains with different orientations (Ref. 1).
  
 
==References==
 
==References==
 
*Rudolf Peierls "More surprises in Theoretical Physics". Princeton University Press (1991) ISBN 0-691-02522-3
 
*Rudolf Peierls "More surprises in Theoretical Physics". Princeton University Press (1991) ISBN 0-691-02522-3

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