Minimal exactly solved model with the extreme Thouless effect

Agata Fronczak , Piotr Fronczak , Andrzej Krawiecki


We present and analyze a minimal exactly solved model that exhibits a mixed-order phase transition known in the literature as the Thouless effect. Such hybrid transitions do not fit into the modest classification of thermodynamic transitions and, as such, they used to be overlooked or incorrectly identified in the past. The recent series of observations of such transitions in many diverse systems suggest that a new taxonomy of phase transitions is needed. The spin model we present due to its simplicity and possible experimental designs could bring us to this goal. We find the Hamiltonian of the model from which partition function is easily calculated. Thermodynamic properties of the model, i.e., discontinuous magnetization and diverging susceptibility, are discussed. Finally, its generalizations and further research directions are proposed. © 2016 American Physical Society.
Author Agata Fronczak ZFUZ
Agata Fronczak,,
- Physics of Complex Systems Divison
, Piotr Fronczak ZFUZ
Piotr Fronczak,,
- Physics of Complex Systems Divison
, Andrzej Krawiecki ZFUZ
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
Journal seriesPhysical Review E, ISSN 1539-3755
Issue year2016
Publication size in sheets0.5
Keywords in EnglishHamiltonians; Thermodynamic properties, Mixed order; Partition functions; Spin models, Phase transitions
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2014 = 2.288 (2) - 2014=2.269 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.