scholarly journals Dynamical susceptibility near a long-wavelength critical point with a nonconserved order parameter

2018 ◽  
Vol 97 (15) ◽  
Author(s):  
Avraham Klein ◽  
Samuel Lederer ◽  
Debanjan Chowdhury ◽  
Erez Berg ◽  
Andrey Chubukov
Keyword(s):  
Critical Point ◽  
Order Parameter ◽  
Long Wavelength ◽  
Dynamical Susceptibility

Order parameter equations for long-wavelength instabilities

1995 ◽  
Vol 86 (1-2) ◽  
pp. 90-95 ◽  
Author(s):  
Alexander A. Nepomnhyashchy
Keyword(s):  
Order Parameter ◽  
Long Wavelength

scholarly journals Order parameter fluctuations at a buried quantum critical point

2012 ◽  
Vol 109 (19) ◽  
pp. 7224-7229 ◽  
Author(s):  
Y. Feng ◽  
J. Wang ◽  
R. Jaramillo ◽  
J. van Wezel ◽  
S. Haravifard ◽  
...  
Keyword(s):  
Critical Point ◽  
Order Parameter ◽  
Quantum Critical Point ◽  
Quantum Critical

Quasi-Chemical Model for Liquid Li-Cd Alloys

1989 ◽  
Vol 44 (6) ◽  
pp. 529-532
Author(s):  
L. C. Prasad ◽  
R. N. Singh
Keyword(s):  
Order Parameter ◽  
Short Range ◽  
Short Range Order ◽  
Chemical Model ◽  
Liquid Alloys ◽  
Range Order Parameter ◽  
Long Wavelength ◽  
Pairwise Interactions ◽  
Energy Of Mixing ◽  
Free Energy Of Mixing

The quasi-chemical model based on pairwise interactions is used to study the concentration dependent thermodynamic properties of Li-Cd liquid alloys. Special attention is given to the concentration-concentration correlation function in the long wavelength limit [Scc(0)] and the chemical short-range order parameter (CSRO). The activity, free energy of mixing, Scc(0) and CSRO are computed as functions of temperature and concentration.

scholarly journals EFFECTS OF STRAIN COUPLING AND MARGINAL DIMENSIONALITY IN THE NATURE OF PHASE TRANSITION IN QUANTUM PARAELECTRICS

2013 ◽  
Vol 27 (08) ◽  
pp. 1350028 ◽  
Author(s):  
NABYENDU DAS
Keyword(s):  
Free Energy ◽  
Critical Point ◽  
Finite Temperature ◽  
Order Parameter ◽  
Quantum Critical Point ◽  
Order Transition ◽  
Zero Temperature ◽  
First Order ◽  
Quantum Paraelectrics ◽  
First Order Transition

Here a recently observed weak first order transition in doped SrTiO 3 [Taniguchi, Itoh and Yagi, Phys. Rev. Lett.99, 017602 (2007)] is argued to be a consequence of the coupling between strain and order parameter fluctuations. Starting with a semi-microscopic action, and using renormalization group equations for vertices, we write the free energy of such a system. This fluctuation renormalized free energy is then used to discuss the possibility of first order transition at zero temperature as well as at finite temperature. An asymptotic analysis predicts small but a finite discontinuity in the order parameter near a mean field quantum critical point at zero temperature. In case of finite temperature transition, near quantum critical point such a possibility is found to be extremely weak. Results are in accord with some experimental findings on quantum paraelectrics such as SrTiO 3 and KTaO 3.

scholarly journals Generalized Independence in the q-Voter Model: How Do Parameters Influence the Phase Transition?

Entropy ◽  
2020 ◽  
Vol 22 (1) ◽  
pp. 120 ◽  
Author(s):  
Angelika Abramiuk ◽  
Katarzyna Sznajd-Weron
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Broad Spectrum ◽  
Order Parameter ◽  
Analytical Formula ◽  
Voter Model ◽  
Pair Approximation ◽  
Scaling Relation ◽  
Independent Behavior

We study the q-voter model with flexibility, which allows for describing a broad spectrum of independence from zealots, inflexibility, or stubbornness through noisy voters to self-anticonformity. Analyzing the model within the pair approximation allows us to derive the analytical formula for the critical point, below which an ordered (agreement) phase is stable. We determine the role of flexibility, which can be understood as an amount of variability associated with an independent behavior, as well as the role of the average network degree in shaping the character of the phase transition. We check the existence of the scaling relation, which previously was derived for the Sznajd model. We show that the scaling is universal, in a sense that it does not depend neither on the size of the group of influence nor on the average network degree. Analyzing the model in terms of the rescaled parameter, we determine the critical point, the jump of the order parameter, as well as the width of the hysteresis as a function of the average network degree ⟨ k ⟩ and the size of the group of influence q.

scholarly journals RELAXING NEAR THE CRITICAL POINT

2001 ◽  
Vol 16 (supp01c) ◽  
pp. 1274-1276
Author(s):  
M. SIMIONATO
Keyword(s):  
Critical Point ◽  
Heavy Ions ◽  
Distribution Functions ◽  
Critical Systems ◽  
Chiral Phase ◽  
Long Wavelength ◽  
Equilibrium Dynamics ◽  
Slowing Down ◽  
Large N ◽  
Early Universe Cosmology

I present an analysis of the relaxation rate for long-wavelength fluctuations of the order parameter in an O(N) scalar theory near the critical point. Our motivation is to model the non-equilibrium dynamics of critical fluctuations near the chiral phase transition in QCD. In the next-to-leading order in the large N expansion we find a critical slowing down regime, i.e. an increasing of the relaxation time of long wavelengths fluctuations. This result suggests, for near critical systems, relevant deviations from thermal equilibrium for the distribution functions of low-energy particles and could have important phenomenological consequences in Heavy Ions Collision and in the Early Universe Cosmology.

SECONDARY BIFURCATIONS AND SYMMETRY BREAKING AS A ROUTE TOWARDS SPATIOTEMPORAL DISORDER

1995 ◽  
Vol 05 (03) ◽  
pp. 841-848 ◽  
Author(s):  
M.R.E. PROCTOR ◽  
J. LEGA
Keyword(s):  
Symmetry Breaking ◽  
Order Parameter ◽  
Periodic Pattern ◽  
Long Wavelength ◽  
Usual Type ◽  
Secondary Bifurcations ◽  
Low Order

We analyse an equation describing long-wavelength transverse instabilities of a roll-like periodic pattern that has solutions which undergo a series of transitions between states with different symmetries as the order parameter is changed. The transitions appear when the solutions are already chaotic and so are not bifurcations of the usual type. We investigate the first of these transitions in detail, and relate the results to those of a simple low order truncation of the governing p.d.e.’s.

Sign in / Sign up

Export Citation Format

Share Document