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E. E. Tareyeva

Publications and source records attributed to E. E. Tareyeva.

At least 19 recordsLinked to original sources
arXiv2015

Spin one $p$-spin glass: the Gardner transition

We examine the phase diagram of the $p$-spin mean field glass model in the spin one case, that is when $S=0,+1,-1$. For large $p$ the model is solved exactly. The analysis reveals that the phase diagram is in some way similar to that of Ising spins. However, as we show, the quadrupolar regular ordering as well as qudrupolar glass order are present now. The temperature of the Gardner 1RSB -- FRSB transition is obtained explicitly for large $p$. The case of higher spins is discussed briefly.

cond-mat.dis-nn↗
arXiv2015

Approximate direct correlation function for multi-Yukawa hard-core systems

Simple closed analytical expression for approximate direct correlation function (DCF) for multi--Yukawa hard--core system of particles is presented. The obtained DCF is a solution of the Ornstein--Zernike equation with multi--Yukawa closure valid in the linear approximation in the potential. This approximation includes linear corrections to the hard-- sphere DCF inside the core radius.

cond-mat.stat-mech↗
arXiv2014

Phase diagram of the system with the repulsive shoulder potential in two dimensions: density functional approach

In the framework of the density functional theory of freezing proposed in our previous works, we calculate the phase diagram of two-dimensional system of particles interacting through the repulsive shoulder potential. This potential consists of the hard core and repulsive shoulder of the larger radius. It is shown that at low densities the system melts through the continuous transition in accordance with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario, while at high densities the conventional first order transition takes place.

cond-mat.stat-mech↗
arXiv2014

Generalized Sherrington--Kirkpatrick-glass without reflection symmetry

We investigate generalized Sherrington--Kirkpatrick glassy systems without reflection symmetry. In the neighbourhood of the transition temperature we in general uncover the structure of the glass state building the full-replica-symmetry breaking solution. Physical example of explicitly constructed solution is given.

cond-mat.stat-mech↗
arXiv2014

The "True" Widom Line for a Square-Well System

In the present paper we propose the van der Waals-like model, which allows a purely analytical study of fluid properties including the equation of state, phase behavior and supercritical fluctuations. We take a square-well system as an example and calculate its liquid - gas transition line and supercritical fluctuations. Employing this model allows us to calculate not only the thermodynamic response functions (isothermal compressibility $β_T$, isobaric heat capacity $C_P$, density fluctuations $ζ_T$, and thermal expansion coefficient $α_T$), but also the correlation length in the fluid $ξ$. It is shown that the bunch of extrema widens rapidly upon departure from the critical point. It seems that the Widom line defined in this way cannot be considered as a real boundary that divides the supercritical region into the gaslike and liquidlike regions. As it has been shown recently, the new dynamic line on the phase diagram in the supercritical region, namely the Frenkel line, can be used for this purpose.

cond-mat.soft↗
arXiv2014

Continuous and discontinuous transitions in generalized p-spin glass models

We investigate the generalized p-spin models that contain arbitrary diagonal operators U with no reflection symmetry. We derive general equations that give an opportunity to uncover the behavior of the system near the glass transition at different (continuous) p. The quadrupole glass with J=1 is considered as an illustrating example. It is shown that the crossover from continuous to discontinuous glass transition to one-step replica breaking solution takes place at p=3.3 for this model. For p <2+Δp, where Δp= 0.5 is a finite value, stable 1RSB-solution disappears. This behaviour is strongly different from that of the p-spin Ising glass model.

cond-mat.stat-mech↗
arXiv2013

"Double swallow-tail" singularity and glass-glass transition in a quasibinary system

The system with the square shoulder (SS) potential is considered in the frame of Mode Coupling Theory (MCT) approach. An approximation for the structure factor is used that emphasizes the quasibinary character of the system. The qualitative phase diagram is constructed that includes continuous and discontinuous glass-glass transitions. The phase diagram is governed by two swallow tails connected with two $A_4$ singularities.

cond-mat.soft↗
arXiv2013

Orientational glass: full replica symmetry breaking in generalized spin glass-like models without reflection symmetry

We investigate near the point of glass transition the expansion of the free energy corresponding to the generalized Sherrington--Kirkpatrick model with arbitrary diagonal operators U standing instead of Ising spins. We focus on the case when U is an operator with broken reflection symmetry. Such a consideration is important for understanding the behavior of spin-glass-like phases in a number of real physical systems, mainly in orientational glasses in mixed molecular crystals which present just the case. We build explicitly a full replica symmetry breaking (FRSB) solution of the equations for the orientational glass order parameters when the non-symmetric part of U is small. This particular result presents a counterexample in the context of usually adopted conjecture of the absence of FRSB solution in systems with no reflection symmetry.

cond-mat.stat-mech↗
arXiv2010

Potts spin glasses with 3, 4 and 5 states near $T=T_c$: expanding around the replica symmetric solution

Expansion for the free energy functionals of the Potts spin glass models with 3, 4 and 5 states up to the fourth order in $δq_{αβ}$ around the replica symmetric solution (RS) is investigated using a special quadrupole-like representation. The temperature dependence of the 1RSB order parameters is obtained in the vicinity of the point $T=T_c$ where the RS solution becomes unstable. The crossover from continuous to jumpwise behavior with increasing of number of states is derived analytically. The comparison is made of the free energy expansion for the Potts spin glass with that for other models.

cond-mat.dis-nn↗
arXiv2010

Full versus first stage replica symmetry breaking in spin glasses

A short survey is presented on spin--glass--like states characteristics in complex nonmagnetic systems. We discuss the interplay of the interaction structure and symmetry with the classification scenarios of the replica symmetry breaking. It is shown that the kind of the transition to the nonergodic state depends not only on the presence or absence of the reflection symmetry but on the number of interacting operators and their individual characteristics.

cond-mat.dis-nn↗
arXiv2008

Pressure induced orientational glass phase in molecular para-hydrogen

We propose a theoretical description of possible orientational glass transition in solid molecular para-hydrogen and ortho-deuterium under pressure supposing that they are mixtures of J=0 and J=2 states of molecules. The theory uses the basic concepts and methods of standard spin-glass theory. We expect our orientational glass to correspond the II' phase of the high pressure hydrogen phase diagram.

cond-mat.dis-nn↗
arXiv2006

Orientational glass transition in C_60

We construct a model for qualitative description of the orientational glass transition in C_60 on the spin-glass theory basis. The physical origin of the frustration and the disorder is discussed.

cond-mat.stat-mech↗
arXiv2005

Generalized van der Waals theory of liquid-liquid phase transitions

In the framework of the thermodynamic perturbation theory for fluids we study how the phase diagram of an isotropic repulsive soft-core attractive potential, where a liquid-liquid phase transition exists in addition to the standard gas-liquid phase transition, changes by varying the parameters of the potential. We show that existence of the liquid-liquid transition is determined by the interplay of the parameters of the potential and the structure of a reference liquid.

cond-mat.stat-mech↗
arXiv2004

New Kinds of Phase Transitions: Transformations in disordered Substances

The transitions in disordered substances are discussed briefly: liquid--liquid phase transitions, liquid--glass transition and the transformations of one amorphous form to another amorphous form of the same substances. A description of these transitions in terms of many--particle conditional distribution functions is proposed. The concept of a hidden long range order is proposed, which is connected with the broken symmetry of higher order distribution functions. The appearance of frustration in simple supercooled Lennard--Jones liquid is demonstrated.

cond-mat.dis-nn↗
arXiv2004

Collapse of Bose component in Bose-Fermi mixture with attraction between components

An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive interaction between components in good agreement with the experiment on the bosonic $^{87}$Rb and fermionic $^{40}$K mixture.

cond-mat.stat-mech↗
arXiv2004

"Spherical" 3-State Potts Spin Glass: Exact Solution

A continuous 3-state Potts model with an analog of spherical constraints is proposed and is shown to have an exact solution in the case of infinite-ranged interactions. "Spherical" 3-state Potts spin glass model is solved using the known properties of a large random matrix. For this model the results are identical to those obtained by the replica approach for replica symmetric solution.

cond-mat.stat-mech↗
arXiv2003

Low-temperature Phase Transition in 3-state Potts Glass

The low-temperature instability of one-step replica symmetry breaking (1RSB) phase in 3-state Potts spin glass is obtained explicitly. The temperature of the instability is higher than the temperature where the 1RSB entropy becomes negative. The conjecture of the possibility of the low-temperature full RSB is supported.

cond-mat.dis-nn↗