Metamagnetic anomalies in the kinetic Blume-Capel model with arbitrary spin

YÜKSEL Y., AKINCI Ü., VATANSEVER E.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, vol.603, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 603
  • Publication Date: 2022
  • Doi Number: 10.1016/j.physa.2022.127867
  • Journal Name: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: Blume-Capel model, Dynamic phase transitions, Effective-field theory, Metamagnetic anomalies, DIFFERENTIAL OPERATOR TECHNIQUE, EFFECTIVE-FIELD, PHASE, TRANSITIONS
  • Dokuz Eylül University Affiliated: Yes

Abstract

Using the effective-field theory, we have investigated the dynamic behavior of a kinetic spin -S Blume Capel model which is an extension of the conventional kinetic Ising model with S >= 1. For integer and half-integer spins, we have evaluated the dynamic phase diagrams. By introducing a constant bias field h(b), we have focused on the emergence of metamagnetic anomalies in dynamic susceptibility versus bias field curves which arise for a narrow range of the bias field. For long periods, a close examination of susceptibility versus bias field data leads to a linear variation in 1/(h(0)-|h(b)(peak)| )-log P curves where P is the field period. This result confirms that |h(b)(peak)| asymptotically approaches the oscillating field amplitude h(0) as 1/ log P in the slow critical dynamics regime. Our calculations indicate that recent findings regarding the DPT in kinetic Ising model also extents to the kinetic Blume-Capel model with arbitrary spin. (C) 2022 Elsevier B.V. All rights reserved.