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We show that a two-dimensional hydrodynamics model provides a physical explanation for the splitting of higher-charge optical vortices under elliptical deformations. The model is applicable to laser light and quantum fluids alike. The study…

A dielectric model of electrostatic solvation is applied to describe potentials of mean force in water along reaction paths for: a) formation of a sodium chloride ion pair; b) the symmetric SN2 exchange of chloride in methylchloride; and c)…

chem-ph · Physics 2008-02-03 Gregory J. Tawa , Lawrence R. Pratt

Recent molecular simulation and integral equation results alkali-halide ion pair potentials-of-mean-force in water are discussed. Dielectric model calculations are implemented to check that these models produce that characteristic structure…

chem-ph · Physics 2008-02-03 Lawrence R. Pratt , Gerhard Hummer , Angel E. Garcia

Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral…

Optimization and Control · Mathematics 2017-05-24 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen

The ultraconfined light of plasmonic modes put their effective wavelength close to the mean free path of electrons inside the metal electron gas. The Drude model, which can not take the repulsive interactions of electrons into account, then…

Optics · Physics 2021-06-23 Emilie Sakat , Antoine Moreau , Jean-Paul Hugonin

Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-order approximations of KdV- or BBM-type. The advantage of…

Analysis of PDEs · Mathematics 2017-05-02 J. L. Bona , X. Carvajal , M. Panthee , M. Scialom

Optical response of free-electron gas leads to inherent nonlinear optical behaviour of nanostructured plasmonic materials enabled via both strong local field enhancements and inherent complex electron dynamics. We present a comprehensive…

A covariant approach towards a theory of deformations is developed to examine both the first and second variation of the Helfrich-Canham Hamiltonian -- quadratic in the extrinsic curvature -- which describes fluid vesicles at mesoscopic…

Soft Condensed Matter · Physics 2009-11-10 Riccardo Capovilla , Jemal Guven

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations.…

High Energy Physics - Theory · Physics 2021-06-16 Aristomenis Donos , Christiana Pantelidou , Vaios Ziogas

Extensions to kinetic theory and hydrodynamic models are proposed that account for the existence of multi-particle contacts. In the presence of multi-particle contacts (involving elastic, reversible, potential contact energy), dissipation…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Alexander Goldshtein

This document outlines the development of numerous new theoretical approaches to model associating fluids. For a detailed abstract please see page ii.

Soft Condensed Matter · Physics 2014-05-09 B. D. Marshall

This paper explores the application of Madelung hydrodynamic models to study two-dimensional electron gases, with a focus on nonlocal plasmonics and nonlinear optics. We begin by reviewing the derivation of the Madelung equations. Using the…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Simão S. Cardoso , A. J. Chaves , N. Asger Mortensen , N. M. R. Peres

The detailed analysis of model of the hydrodynamical vortice on a plane is executed. The derivation of the corresponding equation and its simplified variant is given, a partial solutions are constructed. The question on application of…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 E. Sh. Gutshabash

As characteristic lengths in plasmonics rapidly approach the sub-nm regime, quantum-informed models that can capture those aspects of the quantum nature of the electron gas that are not accessible by the standard approximations of classical…

Mesoscale and Nanoscale Physics · Physics 2018-12-20 Christos Tserkezis , A. T. Mina Yeşilyurt , Jer-Shing Huang , N. Asger Mortensen

We construct effective hydrodynamics for composite particles in (2+1) dimensions carrying a magnetic flux by employing a holographic approach. The hydrodynamics is obtained by perturbation of the dyonic black brane solutions in the…

High Energy Physics - Theory · Physics 2015-07-23 Kyung Kiu Kim , Nakwoo Kim , Yun-Long Zhang

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

Soft Condensed Matter · Physics 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

This work is concerned with a simple model for a polar fluid, a Gaussian field model based on the excess density and on the polarization. It is a convenient framework to implement the dielectric properties of correlated liquids that stem…

Chemical Physics · Physics 2018-04-04 Hélène Berthoumieux

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin…

High Energy Physics - Theory · Physics 2021-09-01 Domingo Gallegos , Umut Gursoy , Amos Yarom

We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order expansion with out-of-equilibrium contribution proportional…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Federico Schianchi , Fernando Abalos

The construction of a generalized (higher-order) nonlinear thermo-hydrodynamics, based on a nonequilibrium ensemble formalism has been presented in the preceding article. The working of such theory is illustrated in the present one. We…

Statistical Mechanics · Physics 2007-05-23 J. Galvão Ramos , Áurea R. Vasconcellos , Roberto Luzzi
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