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metadata.dc.type: | Artigo de Periódico |
Title: | Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature |
Other Titles: | Journal of Mathematical Physics |
Authors: | Malbouisson, Adolfo Pedro Carvalho Malbouisson, Jorge Mário Carvalho Pereira, R. C. |
metadata.dc.creator: | Malbouisson, Adolfo Pedro Carvalho Malbouisson, Jorge Mário Carvalho Pereira, R. C. |
Abstract: | We consider the Euclidean D-dimensional N-component 4 0 model with d d D compactified dimensions. Introducing temperature by means of the Ginzburg–Landau prescription in the mass term of the Hamiltonian, this model can be interpreted as describing a second-order phase transition for a system in a region of the D-dimensional space, limited by d pairs of parallel planes, orthogonal to the coordinates axis x1 ,x2 , . . . ,xd. The planes in each pair are separated by distances L1 ,L2 , . . . ,Ld. Making the appropriate boundary corrections to the coupling constant, we obtain in the large-N limit the transition temperature as a function of the size of the system, Tc Li , i=1,2, . . . ,d. For D=3 we particularize this formula, taking L1=L2=¯=Ld=L for the physically interesting cases d=1 a film , d=2 an infinitely long wire having a square cross section , and d=3 a cubic grain . © 2009 American Institute of Physics. |
Publisher: | American Institute of Physics |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6372 |
Issue Date: | 2009 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
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