scholarly journals Magnetocaloric Effect and Frustrations in One-Dimensional Magnets

2015 ◽  
Vol 233-234 ◽  
pp. 212-215 ◽  
Author(s):  
Alexander V. Zarubin ◽  
Felix A. Kassan-Ogly ◽  
M.V. Medvedev ◽  
A.I. Proshkin
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Magnetocaloric Effect ◽  
Xy Model ◽  
Potts Models ◽  
Exact Analytical Solutions ◽  
One Dimensional ◽  
Different Types ◽  
Exchange Parameters

In this paper, we investigated the magnetocaloric effect (MCE) in one-dimensional magnets with different types of ordering in the Ising model, Heisenberg, XY-model, the standard, planar, and modified Potts models. Exact analytical solutions to MCE as functions of exchange parameters, temperature, values and directions of an external magnetic field are obtained. The temperature and magnetic field dependences of MCE in the presence of frustrations in the system in a magnetic field are numerically computed in detail.

scholarly journals Декорированная изинговская квадратная решетка в магнитном поле

2020 ◽  
Vol 62 (5) ◽  
pp. 683
Author(s):  
Ф.А. Кассан-Оглы ◽  
А.И. Прошкин ◽  
А.К. Муртазаев ◽  
В.А. Мутайламов
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Ising Model ◽  
External Magnetic Field ◽  
Initial Phase ◽  
Transition Point ◽  
Phase Transition Point ◽  
Square Lattice ◽  
Low Field ◽  
Exchange Parameters

Ising model on decorated square lattice is studied with arbitrary signs and values of exchange parameters in an external magnetic field. Comparison with the results of Ising madel on nondecorated square lattice is performed. It is shown that if magnetization increases antiferromagnetically then initial phase-transition-point gradually decreases up to the first frustration field and does not appear again even if further frustration fields apear. In the case of ferromagnetic type of magnetization increasing the phase transition disappears right away after switching on of magnetic field. In other words, an arbitrary low field completely suppresses the phase transition.

scholarly journals Фрустрации и упорядочение в магнитных системах различной размерности

2018 ◽  
Vol 60 (6) ◽  
pp. 1078
Author(s):  
Ф.А. Кассан-Оглы ◽  
А.И. Прошкин
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
External Magnetic Field ◽  
Magnetic Moments ◽  
Exchange Interactions ◽  
Body Centered Cubic ◽  
Potts Models ◽  
One Dimensional ◽  
Simple Cubic ◽  
Frustrated Systems

AbstractBased on the exact and numerical calculations within the Ising and Potts models on lattices of various types and dimensions (one-dimensional, square, triangular, hexagonal, kagome, simple cubic, and body-centered cubic), magnetic orderings, phase transitions, and frustrations were investigated, taking into account the exchange interactions between magnetic moments at the nearest and next-nearest nodes and an external magnetic field. The causes of the occurrence of frustrations are found, and the essential features of the behavior of frustrated systems that distinguish them from the nonfrustrated systems are determined.

THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

Monte Carlo Modelling of Phase Transitions in Quasi-One-Dimensional Multiferoic

2016 ◽  
Vol 845 ◽  
pp. 158-161
Author(s):  
S.J. Lamekhov ◽  
Dmitry A. Kuzmin ◽  
Igor V. Bychkov ◽  
I.A. Maltsev ◽  
V.G. Shavrov
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Method ◽  
External Magnetic Field ◽  
Periodic Potential ◽  
One Dimensional ◽  
Field Modelling ◽  
Energy Components

Behavior of quasi-one-dimensional multiferoic Ca3CoMnO6 in external magnetic field was investigated. Modelling by Monte Carlo method was performed to show influence of external magnetic field on appearance of polarization and temperature of phase transition in electric subsystem. Magnetization, polarization and energy components for magnetic and electric subsystems dependencies were achieved for different values of external magnetic field. Modelling showed that periodic potential in form of Frenkel-Kontorova makes influence on maximal values and temperature of phase transitions for magnetization and polarization.

Magnetocaloric as Solid-State Cooling Technique for Energy Saving

2020 ◽  
pp. 226-252
Author(s):  
Ciro Aprea ◽  
Adriana Greco ◽  
Angelo Maiorino ◽  
Claudia Masselli
Keyword(s):  
Magnetic Field ◽  
Solid State ◽  
External Magnetic Field ◽  
Magnetocaloric Effect ◽  
Intrinsic Property ◽  
Thermodynamic Cycle ◽  
Refrigeration Cycle ◽  
Vapor Compression ◽  
Cooling Technology ◽  
Active Regeneration

Magnetocaloric is an emerging cooling technology arisen as alternative to vapor compression. The main novelty introduced is the employment of solid-state materials as refrigerants that experiment magnetocaloric effect, an intrinsic property of changing their temperature because of the application of an external magnetic field under adiabatic conditions. The reference thermodynamic cycle is called active magnetocaloric regenerative refrigeration cycle, and it is Brayton-based with active regeneration. In this chapter, this cooling technology is introduced from the fundamental principles up to a description of the state of the art and the goals achieved by researches and investigations.

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