scholarly journals BRANCHED POLYMERS ON BRANCHED POLYMERS

1996 ◽  
Vol 11 (29) ◽  
pp. 2361-2368
Author(s):  
BERGFINNUR DURHUUS ◽  
THORDUR JONSSON
Keyword(s):  
Phase Transition ◽  
Transition Point ◽  
Anomalous Dimension ◽  
Geometrical Structure ◽  
Branched Polymers ◽  
Statistical System ◽  
Point Function

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly and in detail the reaction of a statistical system to its underlying geometrical structure, a problem of interest in the study of the interaction of matter and quantized gravity. We find a phase transition at which the embedded polymers begin to cover the basis polymers. At the transition point the susceptibility exponent γ takes the value 3/4 and the two-point function develops an anomalous dimension 1/2.

scholarly journals NONEQUILIBRIUM PHASE TRANSITIONS IN MODEL FERROMAGNETS: A REVIEW

2005 ◽  
Vol 16 (11) ◽  
pp. 1631-1670 ◽  
Author(s):  
MUKTISH ACHARYYA
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Transition Point ◽  
Time Dependent ◽  
Heisenberg Ferromagnet ◽  
Dynamic Transition ◽  
Dynamic Phase ◽  
Nonequilibrium Dynamic ◽  
Dynamic Phase Transition ◽  
Dynamic Transitions

The thermodynamical behaviors of ferromagnetic systems in equilibrium are well studied. However, the ferromagnetic systems far from equilibrium became an interesting field of research in last few decades. Recent exploration of ferromagnetic systems in the presence of a steady magnetic field are also studied by using standard tools of equilibrium statistical physics. The ferromagnet in the presence of time-dependent magnetic field, shows various interesting phenomena. An usual response of a ferromagnet in the presence of a sinusoidally oscillating magnetic field is the hysteresis. Apart from this hysteretic response, the nonequilibrium dynamic phase transition is also a very interesting phenomenon. In this chapter, the nonequilibrium dynamic phase transitions of the model ferromagnetic systems in presence of time-dependent magnetic field are discussed. For this kind of nonequilibrium phase transition, one cannot employ the standard techniques of equilibrium statistical mechanics. The recent developments in this direction are mainly based on numerical simulation (Monte Carlo). The Monte Carlo simulation of kinetic Ising model, in presence of sinusoidally oscillating (in time but uniform over space) magnetic field, is extensively performed to study the nonequilibrium dynamic phase transition. The temperature variations of dynamic order parameter, dynamic specific heat, dynamic relaxation time etc. near the transition point are discussed. The appearance and behaviors of a dynamic length scale and a dynamic time scale near the transition point are also discussed. All these studies indicate that this proposed dynamic transition is a nonequilibrium thermodynamic phase transition. The disorder (quenched) induced zero temperature (athermal) dynamic transition is studied in random field Ising ferromagnet. The dynamic transition in the Heisenberg ferromagnet is also studied. The nature of this transition in the Heisenberg ferromagnet depends on the anisotropy and the polarisation of the applied time varying magnetic field. The anisotropic Heisenberg ferromagnet in the presence of elliptically polarised magnetic field shows multiple dynamic transitions. This multiple dynamic transitions in anisotropic Heisenberg ferromagnet are discussed here. Recent experimental evidences of dynamic transitions are also discussed very briefly.

scholarly journals Распространение поверхностной магнитоупругой волны в ферромагнетике в области ориентационного фазового перехода

2020 ◽  
Vol 62 (6) ◽  
pp. 851
Author(s):  
И.В. Мальцев ◽  
И.В. Бычков ◽  
Д.А. Кузьмин ◽  
В.Г. Шавров
Keyword(s):  
Phase Transition ◽  
Group Velocity ◽  
Yttrium Iron Garnet ◽  
Transition Point ◽  
Phase Transition Point ◽  
Yttrium Iron ◽  
Orientational Phase Transition ◽  
Velocity Changes ◽  
Iron Garnet ◽  
Magnetoelastic Surface

In this paper, we have studied the dependencies of group velocity and damping of magnetoelastic surface waves on the frequency at various external magnetic fields and propagation angles. The group velocity spikes occur at frequencies at which the damping peaks of the surface wave are detected. The behavior of a surface magnetoelastic wave in the vicinity of the orientational phase transition was also investigated. At the phase transition point, the group velocity changes by 1%. Dependences of the damping along the surface at various propagation angles point out on the nonreciprocal nature of the wave. All dependencies in this work were obtained using computer modeling. The parameters of the ferromagnet are taken typical for yttrium-iron garnet.

Dielectric lossbs near the phase transition point in DTGSel crystal

1989 ◽  
Vol 10 (6) ◽  
pp. 167-172
Author(s):  
S. A. Gridnev ◽  
B. N. Prasolov ◽  
O. V. Dybova
Keyword(s):  
Phase Transition ◽  
Transition Point ◽  
Phase Transition Point

scholarly journals The Entanglement Generation in P T -Symmetric Optical Quadrimer System

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1110 ◽  
Author(s):  
Joanna K. Kalaga
Keyword(s):  
Phase Transition ◽  
Transition Point ◽  
Single Mode ◽  
Phase Transition Point ◽  
Bipartite Entanglement ◽  
Entanglement Generation ◽  
Linear Interaction ◽  
Gain And Loss ◽  
A Chain

We discuss a model consisting of four single-mode cavities with gain and loss energy in the first and last modes. The cavities are coupled to each other by linear interaction and form a chain. Such a system is described by a non-Hermitian Hamiltonian which, under some conditions, becomes P T -symmetric. We identify the phase-transition point and study the possibility of generation bipartite entanglement (entanglement between all pairs of cavities) in the system.

Spinor Field at the Phase Transition Point of Reissner-Nordström de Sitter Space

2010 ◽  
Vol 49 (8) ◽  
pp. 1759-1767 ◽  
Author(s):  
Yan Lyu ◽  
Li-Qing Zhang ◽  
Wei Zheng ◽  
Qing-Chao Pan
Keyword(s):  
Phase Transition ◽  
Spinor Field ◽  
Transition Point ◽  
De Sitter Space ◽  
Phase Transition Point ◽  
De Sitter
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