Classification of equilibrium states and hydrodynamics of quantum Fermi-liquid mixtures with the vector order parameter

2004 ◽  
Vol 336 (3-4) ◽  
pp. 271-293 ◽  
Author(s):  
M.Yu. Kovalevskii ◽  
A.A. Rozhkov ◽  
L.V. Logvinova
Keyword(s):  
Fermi Liquid ◽  
Order Parameter ◽  
Liquid Mixtures ◽  
Equilibrium States

Phase rule classification of physical and chemical critical effects in liquid mixtures

2019 ◽  
Vol 729 ◽  
pp. 73-78 ◽  
Author(s):  
James K. Baird ◽  
Xingjian Wang ◽  
Joshua R. Lang ◽  
Pauline Norris
Keyword(s):  
Liquid Mixtures ◽  
Phase Rule ◽  
Physical And Chemical

scholarly journals Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond

2019 ◽  
Vol 10 (1) ◽  
pp. 133-154 ◽  
Author(s):  
Rafael M. Fernandes ◽  
Peter P. Orth ◽  
Jörg Schmalian
Keyword(s):  
Order Parameter ◽  
Cuprate Superconductors ◽  
Primary Phase ◽  
Nematic Order ◽  
Unconventional Superconductors ◽  
Underlying Principle ◽  
Microscopic Models ◽  
Quantum Materials ◽  
Component Order

A hallmark of the phase diagrams of quantum materials is the existence of multiple electronic ordered states, which, in many cases, are not independent competing phases, but instead display a complex intertwinement. In this review, we focus on a particular realization of intertwined orders: a primary phase characterized by a multi-component order parameter and a fluctuation-driven vestigial phase characterized by a composite order parameter. This concept has been widely employed to elucidate nematicity in iron-based and cuprate superconductors. Here we present a group-theoretical framework that extends this notion to a variety of phases, providing a classification of vestigial orders of unconventional superconductors and density waves. Electronic states with scalar and vector chiral order, spin-nematic order, Ising-nematic order, time-reversal symmetry-breaking order, and algebraic vestigial order emerge from one underlying principle. The formalism provides a framework to understand the complexity of quantum materials based on symmetry, largely without resorting to microscopic models.

Classification of the equilibrium states of magnets with vector and quadrupole order parameters

2007 ◽  
Vol 33 (11) ◽  
pp. 965-973 ◽  
Author(s):  
D. A. Dem’yanenko ◽  
M. Yu. Kovalevskiĭ
Keyword(s):  
Order Parameters ◽  
Equilibrium States

Excess energy–volume and cohesive energy density coefficients for binary systems. Comparison with constant pressure functions

1976 ◽  
Vol 54 (22) ◽  
pp. 3559-3563 ◽  
Author(s):  
Digby D. Macdonald
Keyword(s):  
Energy Density ◽  
Cohesive Energy ◽  
Binary Systems ◽  
Constant Pressure ◽  
Liquid Mixtures ◽  
Excess Energy ◽  
Excess Functions ◽  
Cohesive Energy Density ◽  
Excess Functions Of Mixing

Excess energy–volume and cohesive energy density coefficients have been calculated for the hexane + perfluoro-hexane, water + DMSO, water + tert-butanol, water + methanol, water + acetonitrile, and methanol + DMSO Systems. These parameters are compared with other constant pressure excess functions of mixing for these binary systems, and it is proposed that they represent additional criteria for the classification of liquid mixtures.

scholarly journals An original unified approach for the description of phase transformations in steel during cooling: first application to binary Fe–C

2019 ◽  
Vol 116 (6) ◽  
pp. 615
Author(s):  
Olivier Bouaziz
Keyword(s):  
Phase Transformation ◽  
Phase Transformations ◽  
Order Parameter ◽  
Second Step ◽  
Global Approach ◽  
Unified Approach ◽  
Original Order ◽  
Thermodynamic Conditions ◽  
Start Temperature

Exploiting Landau’s theory of phase transformations, defining an original order parameter and using the phenomenological transformation temperatures, it is reported that it is possible to describe in a global approach the conditions for the formation of each constituent (ferrite, bainite, martensite) from austenite during cooling in steel. It allowed to propose a new rigorous classification of the different thermodynamic conditions controlling each phase transformation. In a second step, the approach predicts naturally the effect of cooling rate on the bainite start temperature. Finally, perspectives are assessed to extend the approach in order to take into account the effect of an external field such as applied stress.

PHILIPPE NOZIÈRES: FEENBERG MEDALIST 2001: MICROSCOPIC AND PHENOMENOLOGICAL FOUNDATIONS OF THE THEORY OF QUANTUM MANY-BODY SYSTEMS PHILIPPE NOZIÈRES REPLIES

2003 ◽  
Vol 17 (28) ◽  
pp. 4947-4952
Author(s):  
A. J. LEGGETT ◽  
E. KROTSCHECK ◽  
J. W. NEGELE
Keyword(s):  
Fermi Liquid ◽  
Single Channel ◽  
Landau Theory ◽  
Liquid Mixtures ◽  
Many Body ◽  
Many Body Theory ◽  
Temperature Solution ◽  
Many Body Systems ◽  
The Many ◽  
Solid Liquid

The Eighth Eugene Feenberg Medal is awarded to Philippe Nozières in recognition of his many pathbreaking contributions to many-body theory, including • His definitive work on the properties of the free electron gas, in particular in the region of realistic metallic densities, • his rigorous development of the theory of a normal Fermi liquid, which provided a firm microscopic foundation for the Landau theory, • his analysis of the nonequilibrium thermodynamics of 3-He solid-liquid mixtures, • his exact solution to the X-ray edge problem, • his elegant formulation of the low-temperature solution to the single-channel Kondo problem in the language of Fermi-liquid theory, • his introduction of the many-channel problem as a new class of quantum impurity systems, and • his innovative work on the static and dynamic behavior of the liquid-solid interface.

scholarly journals Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons

2013 ◽  
Vol 25 (12) ◽  
pp. 3207-3234 ◽  
Author(s):  
Tanushree B. Luke ◽  
Ernest Barreto ◽  
Paul So
Keyword(s):  
Limit Cycle ◽  
Heterogeneous Network ◽  
Mean Field ◽  
Complete Classification ◽  
Field Variable ◽  
Equilibrium States ◽  
Type I ◽  
Large Network ◽  
Theta Neurons

We design and analyze the dynamics of a large network of theta neurons, which are idealized type I neurons. The network is heterogeneous in that it includes both inherently spiking and excitable neurons. The coupling is global, via pulselike synapses of adjustable sharpness. Using recently developed analytical methods, we identify all possible asymptotic states that can be exhibited by a mean field variable that captures the network's macroscopic state. These consist of two equilibrium states that reflect partial synchronization in the network and a limit cycle state in which the degree of network synchronization oscillates in time. Our approach also permits a complete bifurcation analysis, which we carry out with respect to parameters that capture the degree of excitability of the neurons, the heterogeneity in the population, and the coupling strength (which can be excitatory or inhibitory). We find that the network typically tends toward the two macroscopic equilibrium states when the neuron's intrinsic dynamics and the network interactions reinforce one another. In contrast, the limit cycle state, bifurcations, and multistability tend to occur when there is competition among these network features. Finally, we show that our results are exhibited by finite network realizations of reasonable size.

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