Ginzburg–Landau theory for higher order phase transition

2012 ◽  
Vol 472 (1) ◽  
pp. 1-4
Author(s):  
C.E. Ekuma ◽  
G.C. Asomba ◽  
C.M.I. Okoye
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Landau Theory ◽  
Higher Order ◽  
Ginzburg Landau

scholarly journals The higher-order phase transition in toroidal CDT

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
J. Ambjørn ◽  
G. Czelusta ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
...  
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Higher Order

scholarly journals A note on the phase transition in a topologically massive Ginzburg-Landau theory

1998 ◽  
Vol 41 (5) ◽  
pp. 547-552 ◽  
Author(s):  
A. P. C Malbouisson ◽  
F. S Nogueira ◽  
N. F Svaiter
Keyword(s):  
Phase Transition ◽  
Landau Theory ◽  
Ginzburg Landau

scholarly journals Spontaneous symmetry breaking in the late Universe and glimpses of the early Universe phase transitions à la baryogenesis

2021 ◽  
Author(s):  
M. Sami ◽  
Radouane Gannouji
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Landau Theory ◽  
Bubble Nucleation ◽  
Beyond The Standard Model ◽  
Electroweak Phase Transition ◽  
Ginzburg Landau

Spontaneous symmetry breaking is the foundation of electroweak unification and serves as an integral part of the model building beyond the standard model of particle physics and it also finds interesting applications in the late Universe. We review development related to obtaining the late cosmic acceleration from spontaneous symmetry breaking in the Universe at large scales. This phenomenon is best understood through Ginzburg–Landau theory of phase transitions which we briefly describe. Hereafter, we present elements of spontaneous symmetry breaking in relativistic field theory. We then discuss the “symmetron” scenario-based upon symmetry breaking in the late Universe which is realized by using a specific form of conformal coupling. However, the model is faced with “NO GO” for late-time acceleration due to local gravity constraints. We argue that the problem can be circumvented by using the massless [Formula: see text] theory coupled to massive neutrino matter. As for the early Universe, spontaneous symmetry breaking finds its interesting applications in the study of electroweak phase transition. To this effect, we first discuss in detail the Ginzburg–Landau theory of first-order phase transitions and then apply it to electroweak phase transition including technical discussions on bubble nucleation and sphaleron transitions. We provide a pedagogical exposition of dynamics of electroweak phase transition and emphasize the need to go beyond the standard model of particle physics for addressing the baryogenesis problem. Review ends with a brief discussion on Affleck–Dine mechanism and spontaneous baryogenesis. Appendixes include technical details on essential ingredients of baryogenesis, sphaleron solution, one-loop finite temperature effective potential and dynamics of bubble nucleation.

scholarly journals Topological Frustration can modify the nature of a Quantum Phase Transition

2021 ◽  
Author(s):  
Vanja Marić ◽  
Gianpaolo Torre ◽  
Fabio Franchini ◽  
Salvatore Giampaolo
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Quantum Phase Transition ◽  
Landau Theory ◽  
Continuous Phase ◽  
Quantum Systems ◽  
Quantum Phase ◽  
Local Order ◽  
Ginzburg Landau ◽  
One Dimensional

Abstract Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this assumption. In particular, we consider the 2-cluster-Ising model, a one-dimensional spin-1/2 system that is known to exhibit a quantum phase transition between a magnetic and a nematic phase. By imposing boundary conditions that induce topological frustration we show that local order is completely destroyed on both sides of the transition and that the two thermodynamic phases can only be characterized by string order parameters. Having proved that topological frustration is capable of altering the nature of a system's phase transition, this result is a clear challenge to current theories of phase transitions in complex quantum systems.

Dynamic Ginzburg-Landau Theory for the Liquid-Solid Phase Transition

1980 ◽  
Vol 35 (1) ◽  
pp. 69-74
Author(s):  
S. Hess
Keyword(s):  
Phase Transition ◽  
Entropy Production ◽  
Order Parameter ◽  
Landau Theory ◽  
Constitutive Law ◽  
Relaxation Equation ◽  
Ginzburg Landau ◽  
Specific Internal Energy ◽  
Nonlinear Relaxation ◽  
Anisotropy Tensor

Abstract The anisotropy of the probability distribution function for the unit vector joining two nearest neighbour atoms is characterized by tensorial order parameters. For cubic symmetry, the most relevant tensor is of rank 4. Starting from an ansatz for the dependence of the (specific) internal energy, volume and entropy; the entropy production is calculated which is caused by a temporial change of the 4-th rank anisotropy tensor. A constitutive law which guarantees that the entropy production is positive leads to a nonlinear relaxation equation. It shows the features typical for a dynamic Ginzburg-Landau theory. The linearized version of the relaxation equation contains an effective relaxation time and a correlation length which exhibit a temperature dependence typical for a mean field theory. For a special case where the anisotropy tensor can be characterized by a scalar order parameter, the nonlinear relaxation equation is studied in some detail. Its stationary and spatially homogeneous solutions are zero and nonzero values for the order parameter depending on whether the temperature T is larger or smaller than the transition temperature. The unordered phase corresponds to a liquid state, the ordered phase to a simple or body centered cubic crystal. The phase transition is of 1st order. There exist also metastable states.

Structure Study of Supercritical CO2near Higher-Order Phase Transition Line by X-ray Diffraction

1997 ◽  
Vol 101 (36) ◽  
pp. 7158-7162 ◽  
Author(s):  
Takeshi Morita ◽  
Keiko Nishikawa ◽  
Masakazu Takematsu ◽  
Hanae Iida ◽  
Seiya Furutaka
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Structure Study ◽  
Higher Order ◽  
Transition Line ◽  
X Ray Diffraction ◽  
X Ray ◽  
Phase Transition Line
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