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Autor:
Schelkacheva, T. I., Tareyeva, E. E.
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.
Externí odkaz:
http://arxiv.org/abs/1512.05508
Autor:
Tareyeva, E. E., Ryzhov, V. N.
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
Externí odkaz:
http://arxiv.org/abs/1511.08604
Autor:
Chumakov, E. S., Fomin, Yu. D., Shangina, E. L., Tareyeva, E. E., Tsiok, E. N., Ryzhov, V. N.
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 h
Externí odkaz:
http://arxiv.org/abs/1412.0466
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 ca
Externí odkaz:
http://arxiv.org/abs/1402.6540
Autor:
Ryzhov, V. N., Tareyeva, E. E.
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 dia
Externí odkaz:
http://arxiv.org/abs/1312.1518
Publikováno v:
Phys. Rev. E 89, 042149 (2014)
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 solu
Externí odkaz:
http://arxiv.org/abs/1309.6987
Publikováno v:
J. Phys. A: Math. Theor. 47, 075002 (2014)
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 (c
Externí odkaz:
http://arxiv.org/abs/1309.4292
Publikováno v:
Phys. Lett. A 377, 507 (2013)
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
Externí odkaz:
http://arxiv.org/abs/1301.0685
Publikováno v:
J. Phys. A: Math. Theor. 43, 495006 (2010)
Expansion for the free energy functionals of the Potts spin glass models with 3, 4 and 5 states up to the fourth order in $\delta q_{\alpha \beta }$ around the replica symmetric solution (RS) is investigated using a special quadrupole-like representa
Externí odkaz:
http://arxiv.org/abs/1007.0135