Critical-point and critical-line analysis of impurity-induced first-order Raman scattering in KBr and KCl

1978 ◽  
Vol 18 (6) ◽  
pp. 2918-2924 ◽  
Author(s):  
S. Just ◽  
Y. Yacoby
Keyword(s):  
Raman Scattering ◽  
Critical Point ◽  
Critical Line ◽  
First Order ◽  
Line Analysis

First-order Raman scattering in homoepitaxial chemical vapor deposited diamond at elevated temperatures

1992 ◽  
Vol 212 (1-2) ◽  
pp. 206-215 ◽  
Author(s):  
H. Herchen ◽  
M.A. Cappelli ◽  
M.I. Landstrass ◽  
M.A. Plano ◽  
M.D. Moyer
Keyword(s):  
Raman Scattering ◽  
Elevated Temperatures ◽  
Chemical Vapor ◽  
First Order ◽  
Chemical Vapor Deposited

scholarly journals The Size of the Giant Joint Component in a Binomial Random Double Graph

10.37236/8846 ◽  
2021 ◽  
Vol 28 (1) ◽  
Author(s):  
Mark Jerrum ◽  
Tamás Makai
Keyword(s):  
Phase Transition ◽  
Critical Point ◽  
Random Graphs ◽  
Spanning Tree ◽  
Branching Process ◽  
Graph Model ◽  
First Order ◽  
Blue Edge ◽  
Critical Pairs

We study the joint components in a random 'double graph' that is obtained by superposing red and blue binomial random graphs on $n$~vertices.  A joint component is a maximal set of vertices that supports both a red and a blue spanning tree.  We show that there are critical pairs of red and blue edge densities at which a giant joint component appears.  In contrast to the standard binomial graph model, the phase transition is first order:  the size of the largest joint component jumps from $O(1)$ vertices to $\Theta(n)$ at the critical point.  We connect this phenomenon to the properties of a certain bicoloured branching process. 

The Second-Order Raman Stokes Stronger Than the First-Order Raman Stokes Due to Inverse Raman Scattering in a Single Mode Tellurite Fiber

2017 ◽  
Vol 53 (4) ◽  
pp. 1-4 ◽  
Author(s):  
Tonglei Cheng ◽  
Xiaojie Xue ◽  
Weiqing Gao ◽  
Takenobu Suzuki ◽  
Yasutake Ohishi
Keyword(s):  
Raman Scattering ◽  
Single Mode ◽  
Second Order ◽  
First Order

The first-order Raman scattering of Cd1−xPbxF2 mixed crystals

1982 ◽  
Vol 44 (3) ◽  
pp. 417-419 ◽  
Author(s):  
P. Ciepielewski ◽  
I. Kosacki
Keyword(s):  
Raman Scattering ◽  
Mixed Crystals ◽  
First Order

scholarly journals Resonant electronic Raman scattering near a quantum critical point

2005 ◽  
Vol 359-361 ◽  
pp. 705-707 ◽  
Author(s):  
A.M. Shvaika ◽  
O. Vorobyov ◽  
J.K. Freericks ◽  
T.P. Devereaux
Keyword(s):  
Raman Scattering ◽  
Critical Point ◽  
Quantum Critical Point ◽  
Electronic Raman Scattering ◽  
Quantum Critical

Scaling Near the Critical Point in Mixture

2005 ◽  
Author(s):  
Eldred H. Chimowitz
Keyword(s):  
Critical Point ◽  
Binary Systems ◽  
Critical Line ◽  
Phase Region ◽  
Unique Point ◽  
Pure Fluid ◽  
High Volatility ◽  
Two Phases ◽  
The One ◽  
Dew Line

The critical point of mixtures requires a more intricate set of conditions to hold than those at a pure-fluid critical point. In contrast to the pure-fluid case, in which the critical point occurs at a unique point, mixtures have additional thermodynamic degrees of freedom. They, therefore, possess a critical line which defines a locus of critical points for the mixture. At each point along this locus, the mixture exhibits a critical point with its own composition, temperature, and pressure. In this chapter we investigate the critical behavior of binary mixtures, since higher-order systems do not bring significant new considerations beyond those found in binaries. We deal first with mixtures at finite compositions along the critical locus, followed by consideration of the technologically important case involving dilute mixtures near the solvent’s critical point. Before taking up this discussion, however, we briefly describe some of the main topographic features of the critical line of systems of significant interest: those for which nonvolatile solutes are dissolved in a solvent near its critical point. The critical line divides the P–T plane into two distinctive regions. The area above the line is a one-phase region, while below this line, phase transitions can occur. For example, a mixture of overall composition xc will have a loop associated with it, like the one shown in figure 4.1, which just touches the critical line of the mixture at a unique point. The leg of the curve to the “left” of the critical point is referred to as the bubble line; while that to the right is termed the dew line. Phase equilibrium occurs between two phases at the point where the bubble line at one composition intersects the dew line; this requires two loops to be drawn of the sort shown in figure 4.1. A question naturally arises as to whether or not all binary systems exhibit continuous critical lines like that shown. In particular we are interested in the situation involving a nonvolatile solute dissolved in a supercritical fluid of high volatility.

First‐order Raman scattering in MgO microcrystals

1985 ◽  
Vol 57 (3) ◽  
pp. 973-975 ◽  
Author(s):  
K. Ishikawa ◽  
N. Fujima ◽  
H. Komura
Keyword(s):  
Raman Scattering ◽  
First Order

scholarly journals First-Order Superconducting Transition near a Ferromagnetic Quantum Critical Point

2003 ◽  
Vol 90 (7) ◽  
Author(s):  
Andrey V. Chubukov ◽  
Alexander M. Finkel’stein ◽  
Robert Haslinger ◽  
Dirk K. Morr
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
Superconducting Transition ◽  
First Order ◽  
Quantum Critical
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