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Metals and Materials International

Study of the Influence of Random Fields on Phase Transitions Using the Example of the Exactly Solvable Model

В. Н. Бородихин, Vladimir V. Prudnikov

Published May 11, 2024• 0 citations
Publisher
DOI
10.1007/s12540-024-01689-7

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The effect of quenched random fields and local perturbations of critical temperature on the critical behavior at phase transitions is studied within the framework of an exactly solvable model that takes into account interaction of fluctuations with equal and opposite momenta. Using the replica method the dimensional reduction by 2 for systems with finite-range interaction and quenched random fields is explicitly shown. For interaction of the infinite range the model demonstrates the mean-field critical asymptotics independently of dimensionality or the presence of random fields. \textcopyright{} 1996 The American Physical Society.