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In the 19th century Mossotti and Clausius developed an expression linking the electrical permittivity of a dielectric to the product of molecular polarizability and number density. Lorenz and Lorentz later extended this framework to…

Optics · Physics 2025-07-10 Jeroen van Duivenbode , Anne-Jans Faber , Reinoud Lavrijsen

Extended Drude model formalism has been successfully utilized for analyzing optical spectra of strongly correlated electron systems including heavy-fermion systems and high-$T_c$ superconducting iron pnictides and cuprates. Furthermore,…

Superconductivity · Physics 2021-01-28 Jungseek Hwang

We investigate dielectric saturation and increment in polar liquids under external fields. We couple a previously introduced dipolar solvent model to a uniform electric field and derive the electrostatic kernel of interacting dipoles. This…

Soft Condensed Matter · Physics 2015-09-30 Sahin Buyukdagli

For electron transport in parallel-plane semiconducting structures, a model is developed that unifies ballistic and diffusive transport and thus generalizes the Drude model. The unified model is valid for arbitrary magnitude of the mean…

Materials Science · Physics 2009-11-07 R. Lipperheide , T. Weis , U. Wille

In this paper, dielectric permittivity of dielectric mixtures is discussed in view of the spectral density representation method. A distinct representation is derived for predicting the dielectric properties [Tuncer E 2005 J. Phys. Condens.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Enis Tuncer

We develop a generalization of the time-varying Drude model, treating carrier density, effective mass, and collision rate as explicit functions of time. We derive expressions for polarization, susceptibility, displacement, and permittivity…

A resonant-state expansion (RSE) for open optical systems with a general frequency dispersion of the relative permittivity, described by a finite number of simple poles, is presented. As in the non-dispersive case, the RSE of dispersive…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 E. A. Muljarov , W. Langbein

Rosenfeld's fundamental measure theory for lattice models is given a rigorous formulation in terms of the theory of Mobius functions of partially ordered sets. The free-energy density functional is expressed as an expansion in a finite set…

Statistical Mechanics · Physics 2009-09-29 Luis Lafuente , Jose A. Cuesta

In this letter, we describe a very general procedure to obtain a causal fit of the permittivity of materials from experimental data with very few parameters. Unlike other closed forms proposed in the literature, the particularity of this…

The repulsion between free electrons inside a metal makes its optical response spatially dispersive, so that it is not described by Drude's model but by a hydrodynamic model. We give here fully analytic results for a metallic slab in this…

Optics · Physics 2017-07-26 Armel Pitelet , Emilien Mallet , Emmanuel Centeno , Antoine Moreau

A unified classification framework for models of extended plasticity is presented. The models include well known micromorphic and strain gradient plasticity formulations. A unified treatment is possible due to the representation of strain…

Soft Condensed Matter · Physics 2018-08-01 Andrew McBride , B. Daya Reddy , Paul Steinmann

We critically examine a broad class of explicitly polarisable soft solvent models aimed at applications in dissipative particle dynamics. We obtain the dielectric permittivity using the fluctuating box dipole method in linear response…

Soft Condensed Matter · Physics 2025-11-03 Silvia Chiacchiera , Patrick B. Warren , Andrew J. Masters , Michael A. Seaton

A two-dimensional binary composite system composed of ellipse inclusions and a host medium is considered. Dielectric permittivity of the system is calculated as a function of orientation angle, the volume fraction of the inclusions and…

Materials Science · Physics 2007-05-23 Enis Tuncer

Generative diffusion models have achieved remarkable success in producing high-quality images. However, these models typically operate in continuous intensity spaces, diffusing independently across pixels and color channels. As a result,…

Graphics · Computer Science 2025-05-20 Javier E. Santos , Agnese Marcato , Roman Colman , Nicholas Lubbers , Yen Ting Lin

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

The paper contains the generalization of usual lattice model of multicomponent systems. The generalization is related to account the following factors: 1. The short-range parts of interatomic repulsions. These repulsions are not identical…

Statistical Mechanics · Physics 2008-09-10 A. Yu. Zakharov , M. I. Bichurin

Diffusion models are powerful generative models that produce high-quality samples from complex data. While their infinite-data behavior is well understood, their generalization with finite data remains less clear. Classical learning theory…

Machine Learning · Statistics 2026-02-02 Claudia Merger , Sebastian Goldt

We show that in the presence of free charge carriers the definition of the frequency-dependent dielectric permittivity requires additional regularization. As an example, the dielectric permittivity of the Drude model is considered and its…

Quantum Physics · Physics 2010-01-15 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

Model complexity in amplitude analyses is often a priori under-constrained since the underlying theory permits a large number of possible amplitudes to contribute to most physical processes. The use of an overly complex model results in…

Data Analysis, Statistics and Probability · Physics 2015-09-30 Baptiste Guegan , John Hardin , Justin Stevens , Mike Williams

Mueller polarimetry involves a variety of instruments and technologies whose importance and scope of applications are rapidly increasing. The exploitation of these powerful resources depends strongly on the mathematical models that underlie…

Optics · Physics 2020-01-03 José J. Gil , Ignacio San José