Critical behavior of an anisotropic Ising antiferromagnet in both external longitudinal and transverse fields

In this paper we study the critical behavior of a two-sublattice Ising model on an anisotropic square lattice in both uniform longitudinal (H  ) and transverse (Ω$\Omega$) fields by using the effective-field theory. The model consists of ferromagnetic interaction J_x in the x direction and antiferromagnetic interaction J_y in the y direction in the presence of the H   and Ω$\Omega$ fields. We obtain the phase diagrams in the H–T$H–T$ and Ω–T$\Omega –T$ planes changing values of the Ω$\Omega$ and H   parameters, respectively for fixed value at λ=_Jx/_Jy=1$\lambda =J_x/J_y=1$. At null temperature, the ground state phase diagram in the Ω–H$\Omega –H$ plane for several values of λ$\lambda$ parameter is analyzed. In the particular case of λ=1$\lambda =1$ we compare our results with mean-field theory (MFT) and was not observed reentrant behavior around of the critical field _Hc/_Jy=2.0$H_c/J_y=2.0$ for Ω=0$\Omega =0$ by using EFT.     

Finite-size,magnetic and chemical-potential effects on first-order phase transitions

We perform a study about effects of an applied magnetic field and a finite chemical potential on the size-dependent phase structure of a first-order transition. These effects are introduced by using methods of quantum fields defined on toroidal spaces, and we study in particular the case of two compactified dimensions, imaginary time and a spatial one (a heated film). It is found that for any value of the applied field, there is a minimal size of the system, independent of the chemical potential, below which the transition disappears.     

Can a strong magnetic background modify the nature of the chiral transition in QCD?

The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature: for high enough magnetic fields, comparable to the ones expected to be created in noncentral high-energy heavy ion collisions at RHIC and the LHC, the original crossover is turned into a first-order transition. We illustrate this effect within the linear sigma model with quarks to one loop in the scheme for N_f=2.     

Electronic, structural and magnetic phase diagram of Sm1-xSrxMnO3 manganites

The electronic, structural and magnetic phase diagram of the colossal magnetoresistive Sm_1−xSr_xMnO₃ (0.16≤х≤0.67) manganites is constructed on the basis of their systematic studies by high-resolution neutron powder diffraction. It is shown the tendency of researched system to formation of the phase-separated states on crystallographic as well as, in the even greater extent, on magnetic level. A clear correlation between fine specific features and temperature evolution of crystal structures, spin ordering of the manganese ions, and the physical properties of the samarium-strontium series of manganites obtained from temperature magnetic and transport measurements is demonstrated. It was found that ground state of Sm-Sr manganites shows very various physical properties depending first of all on the doping level х and, for given х, determined by two distortion parameters, namely, the average A-cation size <r_A> and the local A-cation size mismatch σ².     

T-X Br phase diagram for the NH4Br x Cl1−x system

In this study using a mean field model we calculate the phase line equations for the β-δ, β-γ and γ-δ phase transitions in the NH₄Br_xCl_{1 x} system. We then fit our phase line equations to the experimentally observed T-X _Br phase diagram for this system. Our calculated phase diagram agrees well with the observed one for the NH₄Br_xCl_{1 x} system.     

Traffic states and jamming transitions induced by a bus in two-lane traffic flow

We study the traffic states and jamming transitions induced by a bus (slow car) in a two-lane traffic of cars. We use the dynamic model which is an extended one of the optimal velocity model to take into account the lane changing. The fundamental (flow-density) diagram is presented. The fundamental diagram changes highly by introducing a bus on a two-lane roadway. It is found that there are the six distinct states for the two-lane traffic flow including a bus. The spatio-temporal patterns are presented for the distinct traffic states. The dynamical state of traffic changes with density of cars. It is shown that the dynamical transitions among the distinct traffic states occur at some values of density. The phase diagram (region map) is shown for the two-lane traffic flow including a bus.     

The transverse spin-1 Ising model with random interactions

The phase diagrams of the transverse spin-1 Ising model with random interactions are investigated using a new technique in the effective field theory that employs a probability distribution within the framework of the single-site cluster theory based on the use of exact Ising spin identities. A model is adopted in which the nearest-neighbor exchange couplings are independent random variables distributed according to the law P(J_ij)=pδ(J_ij−J)+(1−p)δ(J_ij−αJ). General formulae, applicable to lattices with coordination number N, are given. Numerical results are presented for a simple cubic lattice. The possible reentrant phenomenon displayed by the system due to the competitive effects between exchange interactions occurs for the appropriate range of the parameter α.     

Blume–Capel model on the antiferromagnetic fcc lattice

In the presence of a uniform external magnetic field, the spin-1 fcc antiferromagnetic Ising model in the four sub-lattice with the nearest-neighbor bilinear and crystal field interactions is investigated by using mean-field theory. The lattice is considered in blocks and each block contains 32 spins. While the central four spins forming a basic tetrahedron structure are allowed to fluctuate, the surrounding 28 spins take the mean-field values. The ground state phase diagram of the system is examined since it provides valuable information to make a prediction of the different phase diagram topologies. The phase diagrams are obtained on the reduced external field versus temperature, (H/|J|−kT/|J|)$(H/\left|J\right|-kT/\left|J\right|)$, plane for selected crystal field interaction values from the ground state phase diagram and it is found that the system exhibits reentrant behavior and some special points such as tricritical, bicritical and triple points.     

Phase transitions in the Na3PO4-BiPO4 system

Abstract

The Na₃PO₄-BiPO₄ system has been investigated by X-ray diffraction and D.T.A. It features two definite compounds: Na₃Bi(PO₄)₂ and Na₃Bi₅(PO₄)₆, the first one being polymorphic. It crystallizes in two orthorhombic and two hexagonal forms below melting at 1025°C. The H.T. phase has the glaserite structure, and the other ones are related. Na₃Bi₅(PO₄)₆ is stable only at 680 ? t ? 820°C, but can easily be quenched. It has a non-centrosymmetric cubic structure (S.H.G.) of the eulytite type, and so potential piezoelectric applications can be expected. Na₃PO₄ and Na₃Bi(PO₄)₂ display two extensive ranges of solid solutions with the replacement mechanism 3Na⁺ → Bi³⁺ in the formula Na_3-3x Bi _x PO₄, respectively with 0 ? x ? 0.29 and 0.5 ? x ? 0.62 over 950°C.     

The effective-field theory studies of critical phenomena in a mixed spin-1 and spin-2 Ising model on honeycomb and square lattices

An effective-field theory with correlations has been used to study critical behaviors of a mixed spin-1 and spin-2 Ising system on a honeycomb and square lattices in the absence and presence of a longitudinal magnetic field. The ground-state phase diagram of the model is obtained in the longitudinal magnetic field (h) and a single-ion potential or crystal-field interaction (Δ) plane. The thermal behavior of the sublattice magnetizations of the system are investigated to characterize the nature of (continuous and discontinuous) of the phase transitions and obtain the phase transition temperature. The phase diagrams are presented in the (Δ/|J|, k_BT/|J|) plane. The susceptibility, internal energy and specific heat of the system are numerically examined and some interesting phenomena in these quantities are found due to the absence and presence of the applied longitudinal magnetic field. Moreover, the system undergoes second- and first-order phase transition; hence, the system gives a tricritical point. The system also exhibits reentrant behavior.     

Phase diagram of speed gradient model with an on-ramp

In this paper, phase transitions are investigated in speed gradient model with an on-ramp. Phase diagrams of traffic flow composed of manually driven vehicles and adaptive cruise control (ACC) vehicles are studied, respectively. The traffic flow composed of ACC vehicles is modeled by enhancing propagation speed of small disturbance. The phase diagram of traffic flow composed of manually driven vehicles is similar to that in previous works, in which such states as pinned localized cluster (PLC), moving localized cluster (MLC), triggered stop-and-go traffic (TSG), oscillatory congested traffic (OCT), and homogeneous congested traffic (HCT) are reproduced. In the phase diagram of traffic flow composed of ACC vehicles, traffic stability is enhanced and such states as PLC, MLC, and TSG disappear. Furthermore, some interesting phenomena, such as stationary OCT upstream of on-ramp and appearance of second OCT in HCT, are identified.     

Phase diagrams of a transverse Ising nanowire

Phase diagrams of a cylindrical nanowire described by the transverse Ising model are investigated by the use of two theoretical frameworks, namely the mean field theory and the effective field theory with correlations. The phase diagram of the system is strongly affected by the surface situations. Some characteristic phenomena are found in the phase diagram, depending on the ratio of the physical parameters in the surface shell and the core.     

A variational approach for the classical anisotropic Heisenberg model in a crystal field

The variational approach based on the Bogoliubov inequality for the free energy is used to study the three-dimensional anisotropic Heisenberg XXZ model with a crystal field. The magnetization and the phase diagrams are obtained as a function of the parameters of the Hamiltonian. Limiting cases, such as isotropic Heisenberg, XY, and planar rotator models in two and three dimensions, are analyzed and compared to previous results obtained from analytical approximations as well as to those obtained from more reliable approaches such as series expansion and Monte Carlo simulations. A parametric procedure has been used in order to simplify the solutions of the self-consistent coupled equations.     

Extended Bose-Hubbard model with pair hopping on triangular lattice

We study systematically an extended Bose-Hubbard model on the triangular lattice by means of a meanfield method based on the Gutzwiller ansatz. Pair hopping terms are explicitly included and a three-body constraint is applied. The zero-temperature phase diagram and a variety of quantum phase transitions are investigated in great detail. In particular, we show the existence and the stability of the pair supersolid phase.     

Transport properties and conduction mechanisms in CuFe2O4 and Cu1−xZnxGa0.3Fe1.7O4 compounds

Single-phase structure of CuFe₂O₄ and Cu_1−xZn_xGa_0.3Fe_1.7O₄; with (0.0≤x≤0.5) are synthesized. Electrical conductivity measurements as a function of temperature are carried out in the frequency range (10²-10⁵ Hz) for the prepared samples. The obtained results of these materials reveal a metallic-like behavior in the low range of frequency. At high frequency regime metallic-to-semiconductor transition has been observed as the compositional parameter x increases. Metallic-like behavior is accompanied with samples having low Zn content, where cation-cation [Cu-Cu] interaction is major at the octahedral B-sites and semiconductor behavior is associated with compounds having high Zn content, where cation-anion-cation [Fe-O-Fe] interaction is most predominant at B-sites in these spinel oxides. All studied compositions exhibit a transition with change in the slope of conductivity versus temperature curve. This transition temperature is found to decrease linearly with increasing Zn concentration x. The relation of the universal exponent s with temperature indicates the presence of two hopping conduction mechanisms; the correlated barrier hopping CBH at low Zn content x≤0.2 and small polaron (SP) at Zn content x≥0.3.     

High-pressure phase transitions of Mg2Ge and Mg2Sn: First-principles calculations

Phase transitions of the anti-fluorite compounds Mg₂Ge and Mg₂Sn under high pressure were investigated using the first-principles plane-wave method within the pseudopotential and generalized gradient approximations. The calculated results show that Mg₂Ge and Mg₂Sn undergo two first-order phase transitions at high pressure and the sequence of the pressure-induced phase transitions is from the anti-fluorite to the anti-cotunnite, and then to the Ni₂In-type structure. The high pressure behaviors of Mg₂Ge and Mg₂Sn are similar to Mg₂Si and the isostructural alkali-metal oxide Li₂O. Moreover, the electronic and optical properties of both the anti-fluorite and the high-pressure phases are presented.     

Finite-size effects on the phase transition in a four- and six-fermion interaction model

We consider four- and six-fermion interacting models at finite temperature and density. We construct the corresponding free energies and investigate the appearance of first- and second-order phase transitions. Finite-size effects on the phase structure are investigated using methods of quantum field theory on toroidal topologies.     

Phase transition in hexacelsian at about 580 K

Temperature-induced structure and microstructure changes in hexacelsians (BaAl₂Si₂O₈) that have been synthesised from the Ba-exchanged LTA and FAU zeolites (hexacelsian_LTA and hexacelsian_FAU) show that the phase transition near 580?K exists only in hexacelsian_LTA. The X-ray powder diffraction method has been used to follow the evolution of the structure during the phase transition, as described here. The excess thermodynamic quantities Gibbs free energy (G), entropy (S) and enthalpy (H) are obtained through the Landau theory of phase transition. The constants of proportionality between the G and ordering parameter (Q) are: h?=??170345?J?mol^?1, a?=??66.6?J?mol^?1?K^?1 and b?=??410534?J?mol^?1. The abrupt change in the trigonal distortion of the single six-member tetrahedral [SiO₄]^4? and [AlO₄]^5? ring near 580?K is responsible for the phase transition. The phase transition is non-convergent, ferroelastic, pure and proper.