Vibration Modes and Characteristic Length Scales in Amorphous Materials

Localization Length Scales of Triplet Excitons in Singlet Fission Materials

Dislocations in amorphous materials

2014 The general aim of this paper is to provide a better understanding of amorphous materials, with special reference to glassy and granular systems, indicating areas where the behaviour of these two may be similar. We lay special emphasis on granular systems, as befits their importance as a newly emerging field of study in physics, and present a review of recent progress in understanding thei...

Characteristic Scales in Galaxy Formation

Recent data, e.g. from SDSS and 2dF, reveal a robust bi-modality in the distribution of galaxy properties, with a characteristic transition scale at stellar mass M∗ ∼ 3× 10 10 M⊙ (near L∗), corresponding to virial velocity V ∼ 100 kms . Smaller galaxies tend to be blue disks of young populations. They define a “fundamental line” of decreasing surface brightness, metallicity and velocity with de...

Characteristic Length and Clustering

We explore relations between various variational problems for graphs: among the functionals considered are Euler characteristic χ(G), characteristic length μ(G), mean clustering ν(G), inductive dimension ι(G), edge density (G), scale measure σ(G), Hilbert action η(G) and spectral complexity ξ(G). A new insight in this note is that the local cluster coefficient C(x) in a finite simple graph can ...

Computational analysis and verifications of characteristic modes in real materials Miers,

Despite its long history, the Theory of Characteristic Modes has only been utilized in antenna design for perfect electric conductors. This is due to computational problems associated with dielectrics and magnetic materials. In particular, the symmetric form of the PMCHWT surface formulation for the Method of Moments (MoM) solves for both external (real) and internal (non-real) resonances of a ...