Influence of internal degrees of freedom on the structure of one-dimensional systems

1989 ◽  
Vol 74 (4) ◽  
pp. 513-525 ◽  
Author(s):  
F. Fischer ◽  
H. K�ppel ◽  
L. S. Cederbaum
Keyword(s):  
Degrees Of Freedom ◽  
One Dimensional ◽  
Internal Degrees Of Freedom

Phonons in one-dimensional Peierls systems with internal degrees of freedom

1995 ◽  
Vol 51 (9) ◽  
pp. 5790-5799 ◽  
Author(s):  
M. Yu. Lavrentiev ◽  
H. Köppel ◽  
L. S. Cederbaum
Keyword(s):  
Degrees Of Freedom ◽  
One Dimensional ◽  
Internal Degrees Of Freedom

Influence of internal degrees of freedom on the structure of one-dimensional systems

1987 ◽  
Vol 9 (5) ◽  
pp. 571-579 ◽  
Author(s):  
F. Fischer ◽  
H. Köppel ◽  
L. S. Cederbaum
Keyword(s):  
Degrees Of Freedom ◽  
One Dimensional ◽  
Internal Degrees Of Freedom

Metamaterials With Tunable Stop Bands

2008 ◽  
Author(s):  
H. H. Huang ◽  
C. T. Sun
Keyword(s):  
Energy Flow ◽  
Degrees Of Freedom ◽  
Numerical Solutions ◽  
Mass Density ◽  
Stop Band ◽  
Internal Mass ◽  
Frequency Range ◽  
Negative Mass ◽  
One Dimensional ◽  
Internal Degrees Of Freedom

Metamaterials are materials with manmade microstructures. Recently, researchers have looked at a class of metamaterials whose microstructures contain internal degrees of freedom that are different from those of the macro-medium. These metamaterials exhibit unusual dynamic behavior and if modeled as homogeneous solids then their effective mass densities would become negative in certain frequency range. Specifically, a new stop band in the vicinity of the local resonance frequency of the internal mass in the microstructure would result. In this paper, a one dimensional metamaterial is employed to investigate the meaning of the negative mass density in the material and the energy flow in and out of the microstructure. In addition, numerical solutions are used to illustrate the phenomenon.

Electromagnetic field-current coupling in rigid polarized conductors

2016 ◽  
Vol 23 (1) ◽  
pp. 85-98 ◽  
Author(s):  
Maurizio Romeo
Keyword(s):  
Electromagnetic Field ◽  
Degrees Of Freedom ◽  
Plane Waves ◽  
Charge Carriers ◽  
Field Equations ◽  
One Dimensional ◽  
Current Coupling ◽  
Transverse Fields ◽  
Internal Degrees Of Freedom ◽  
The Continuum

A continuum model, based on a theory of electromagnetic media with microstructure, is exploited to deal with rigid conductors endowed with polarization and magnetization. Charge carriers are considered as a continuum superimposed to the microstructured conductor where the density of bound charges depends on the internal degrees of freedom of the continuum particle. The non-linear dynamical model is formulated, deriving the mechanical balance laws that are coupled with the electromagnetic field equations. A reduction to the micropolar linear case is performed in order to analyze admissible solutions in the form of one-dimensional plane waves. Dispersion equations are derived for modes pertaining to longitudinal and transverse fields and the effects of conductivity and polarization are evidentiated. Polariton modes, arising from the dynamics of microdeformation, are also discussed.

Electronic Systems

2019 ◽  
pp. 585-630
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Bethe Ansatz ◽  
Degrees Of Freedom ◽  
Electronic Systems ◽  
One Dimensional ◽  
Kondo Resonance ◽  
Nested Bethe Ansatz ◽  
Component Systems ◽  
Metallic Ring ◽  
The One ◽  
Internal Degrees Of Freedom

The Bethe ansatz can be generalized to problems where particles have internal degrees of freedom. The generalized method can be viewed as two Bethe ansätze executed one after the other: nested Bethe ansatz. Electronic systems are the most relevant examples for condensed matter physics. Prominent electronic many-particle systems in one dimension solvable by a nested Bethe ansatz are the one-dimensional δ‎-Fermi gas, the one-dimensional Hubbard model, and the Kondo model. The major difference to the Bethe ansatz for one component systems is a second, spin, eigenvalue problem, which has the same form in all cases and is solvable by a second Bethe ansatz, e.g. an algebraic Bethe ansatz. A quantum dot tuned to Kondo resonance and coupled to an isolated metallic ring presents an application of the coupled sets of Bethe ansatz equations of the nested Bethe ansatz.

Reversibly Sampling Conformations and Binding Modes Using Molecular Darting

2020 ◽  
Author(s):  
Samuel C. Gill ◽  
David Mobley
Keyword(s):  
Monte Carlo ◽  
Ligand Binding ◽  
Binding Sites ◽  
Degrees Of Freedom ◽  
Dynamics Simulation ◽  
Hiv Integrase ◽  
Binding Modes ◽  
System A ◽  
Multiple Binding ◽  
Internal Degrees Of Freedom

<div>Sampling multiple binding modes of a ligand in a single molecular dynamics simulation is difficult. A given ligand may have many internal degrees of freedom, along with many different ways it might orient itself a binding site or across several binding sites, all of which might be separated by large energy barriers. We have developed a novel Monte Carlo move called Molecular Darting (MolDarting) to reversibly sample between predefined binding modes of a ligand. Here, we couple this with nonequilibrium candidate Monte Carlo (NCMC) to improve acceptance of moves.</div><div>We apply this technique to a simple dipeptide system, a ligand binding to T4 Lysozyme L99A, and ligand binding to HIV integrase in order to test this new method. We observe significant increases in acceptance compared to uniformly sampling the internal, and rotational/translational degrees of freedom in these systems.</div>

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