Physical Examples of Phase Transition in One-Dimensional Systems with Short Range interaction
نویسنده
چکیده
In this paper, we study the thermodynamic phase transition in one dimensional systems with short range interaction. We begin by reviewing some famous non-existence result, such as Landau’s argument and van Hove’s theorem. And we point out that the PerronFrobenius theorem is generally used to determine whether there is phase transition in such kind of system. Then several examples that Perron-Frobenius theorem doesn’t apply and exhibit phase transitions will be present.
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General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions
We examine critically the issue of phase transitions in one-dimensional systems with short range interactions. We begin by reviewing in detail the most famous non-existence result, namely van Hove’s theorem, emphasizing its hypothesis and subsequently its limited range of applicability. To further underscore this point, we present several examples of one-dimensional short ranged models that exh...
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