Departures from Ornstein—Zernike Behavior in the Order-Parameter Dynamics of Fluids near the Critical Point

1973 ◽  
Vol 7 (2) ◽  
pp. 747-750 ◽  
Author(s):  
Harry L. Swinney ◽  
Bahaa E. A. Saleh
Keyword(s):  
Critical Point ◽  
Order Parameter

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

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.

Phase Densities of Molten Binary Mixtures of Alkali Halogenides with Limited Mutual Solubility

2007 ◽  
Vol 62 (5-6) ◽  
pp. 303-308 ◽  
Author(s):  
Vera N. Lockett ◽  
Irina V. Rukavishnikova ◽  
Viktor P. Stepanov
Keyword(s):  
Critical Exponent ◽  
Critical Point ◽  
Binary Mixtures ◽  
Order Parameter ◽  
Mutual Solubility ◽  
Critical Behaviour ◽  
Density Measurements

The densities of binary mixtures of LiF with CsCl, KBr, RbBr, CsBr, KI, RbI and CsI have been investigated at 1093 - 1253 K. For the system LiF with KBr the dependence of the density on the temperature was measured up to the critical point, where the system became single-phased, and the critical behaviour was evaluated. The critical exponent of the order parameter, which was found from the density measurements, is close to 0.5.

Dynamics of Fluids near the Critical Point: Decay Rate of Order-Parameter Fluctuations

1973 ◽  
Vol 8 (5) ◽  
pp. 2586-2617 ◽  
Author(s):  
Harry L. Swinney ◽  
Donald L. Henry
Keyword(s):  
Decay Rate ◽  
Critical Point ◽  
Order Parameter

Renormalization-Group Theory of Critical Phenomena in Confined Systems: Order-Parameter Distribution Function

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1277-1290 ◽  
Author(s):  
X. S. Chen ◽  
V. Dohm
Keyword(s):  
Distribution Function ◽  
Renormalization Group ◽  
Critical Point ◽  
Order Parameter ◽  
Three Dimensional ◽  
Finite Size ◽  
Finite Geometry ◽  
Parameter Distribution ◽  
Monte Carlo Data ◽  
Novel Approach

We present a renormalization-group study of the order-parameter distribution function near the critical point of O(n) symmetric three-dimensional (3D) systems in a finite geometry. The distribution function is calculated within the φ4 field theory for a 3D cube with periodic boundary conditions by means of a novel approach that appropriately deals with the Goldstone modes below T c . Results are given for both vanishing and finite external field h. The results describe finite-size effects near the critical point in the h– T-plane including the first-order transition at the coexistence line at h = 0 below T c . Quantitative theoretical predictions of the finite-size scaling function are presented for the Ising (n=1), XY(n=2) and Heisenberg (n=3) models. Good agreement is found with recent Monte Carlo data.

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