Existence of solutions to the Efros self–consistency equation in all dimensions

2003 ◽  
Vol 459 (2032) ◽  
pp. 853-861
Author(s):  
Yi song Yang
Keyword(s):  
Existence Of Solutions ◽  
Consistency Equation ◽  
Self Consistency

AUXILIARY FERMION LINEARIZED t-J MODEL

1995 ◽  
Vol 09 (30) ◽  
pp. 1873-1886
Author(s):  
A. DANANI ◽  
P. ZANARDI
Keyword(s):  
Numerical Analysis ◽  
Existence Of Solutions ◽  
Magnetic Phases ◽  
Model Spectrum ◽  
Self Consistency

The Auxiliary Fermion linearization scheme is applied to the ferromagnetic t-J model. Spectrum and self-consistency equations are obtained. The numerical analysis shows the existence of solutions describing metallic as well as magnetic phases of different kind. Their interplay is discussed.

scholarly journals A CONSTRAINT ON THE ANOMALOUS GREEN’S FUNCTION

1996 ◽  
Vol 10 (12) ◽  
pp. 555-565 ◽  
Author(s):  
YONG-JIHN KIM
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Weak Localization ◽  
Physical Constraint ◽  
Gap Equation ◽  
Homogeneous Systems ◽  
Consistency Equation ◽  
Self Consistency

It is shown that the physical constraint of the Anomalous Green’s function gives a natural pairing condition. The resulting self-consistency equation is directly related to the BCS gap equation. Both inhomogeneous and homogeneous systems are considered to illustrate the importance of the constraint. Especially we find weak localization correction to the phonon-mediated interaction.

Efficient Treatment of Fixed and Induced Dipolar Interactions

2000 ◽  
Vol 653 ◽  
Author(s):  
Celeste Sagui ◽  
Thoma Darden
Keyword(s):  
Molecular Dynamics ◽  
Md Simulations ◽  
Lagrangian Formalism ◽  
Dipolar Interactions ◽  
Time Step ◽  
Efficient Treatment ◽  
Particle Mesh Ewald ◽  
Fixed Charges ◽  
Self Consistency ◽  
Induced Dipoles

AbstractFixed and induced point dipoles have been implemented in the Ewald and Particle-Mesh Ewald (PME) formalisms. During molecular dynamics (MD) the induced dipoles can be propagated along with the atomic positions either by interation to self-consistency at each time step, or by a Car-Parrinello (CP) technique using an extended Lagrangian formalism. The use of PME for electrostatics of fixed charges and induced dipoles together with a CP treatment of dipole propagation in MD simulations leads to a cost overhead of only 33% above that of MD simulations using standard PME with fixed charges, allowing the study of polarizability in largemacromolecular systems.

A Bayesian View on the Hilbert Transform and the Kramers-Kronig Transform of Electrochemical Impedance Data: Probabilistic Estimates and Quality Scores

2020 ◽  
Author(s):  
Jiapeng Liu ◽  
Ting Hei Wan ◽  
Francesco Ciucci
Keyword(s):  
Power Generation ◽  
Electrochemical Impedance Spectroscopy ◽  
Hilbert Transform ◽  
Electrochemical Impedance ◽  
The Self ◽  
Impedance Data ◽  
The Hilbert Transform ◽  
Validation Tests ◽  
Self Consistency ◽  
Mathematical Relations

<p>Electrochemical impedance spectroscopy (EIS) is one of the most widely used experimental tools in electrochemistry and has applications ranging from energy storage and power generation to medicine. Considering the broad applicability of the EIS technique, it is critical to validate the EIS data against the Hilbert transform (HT) or, equivalently, the Kramers–Kronig relations. These mathematical relations allow one to assess the self-consistency of obtained spectra. However, the use of validation tests is still uncommon. In the present article, we aim at bridging this gap by reformulating the HT under a Bayesian framework. In particular, we developed the Bayesian Hilbert transform (BHT) method that interprets the HT probabilistic. Leveraging the BHT, we proposed several scores that provide quick metrics for the evaluation of the EIS data quality.<br></p>

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