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- W2902967701 abstract "In the area of topological and geometric treatment of phase transitions and symmetry breaking in Hamiltonian systems, in a recent paper some general sufficient conditions for these phenomena in $mathbb{Z}_2$-symmetric systems (i.e. invariant under reflection of coordinates) have been found out. In this paper we present a simple topological model satisfying the above conditions hoping to enlighten the mechanism which causes this phenomenon in more general physical models. The symmetry breaking is testified by a continuous magnetization with a nonanalytic point in correspondence of a critical temperature which divides the broken symmetry phase from the unbroken one. A particularity with respect to the common pictures of a phase transition is that the nonanalyticity of the magnetization is not accompanied by a nonanalytic behavior of the free energy." @default.
- W2902967701 created "2018-12-11" @default.
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- W2902967701 date "2011-02-16" @default.
- W2902967701 modified "2023-09-27" @default.
- W2902967701 title "A topological toy model with continuous phase transition" @default.
- W2902967701 hasPublicationYear "2011" @default.
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