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arXiv · 1604.04244

Mixed-order phase transition in a minimal, diffusion based spin model

Agata Fronczak·Piotr Fronczak
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Abstract

In this paper, we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model "diffusion-based" because its hamiltonian can be recovered from a simple dynamic procedure, which can be seen as an equilibrium statistical mechanics representation of a biased random walk. We outline the derivation of the phase diagram of the model, in which the triple point has the hallmarks of the hybrid transition: discontinuity in the average magnetization and algebraically diverging susceptibilities. At this point, two second-order transition curves meet in equilibrium with the first-order curve, resulting in a prototypical mixed-order behavior.

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Agata Fronczak, Piotr Fronczak. 2016-04-14. Mixed-order phase transition in a minimal, diffusion based spin model. https://doi.org/10.1103/physreve.94.012103

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