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This work studies a macroscopic traffic flow model driven by a system of nonlinear hyperbolic partial differential equations. Using Lie symmetry analysis, we determine the infinitesimal generators and construct an optimal system of…

Analysis of PDEs · Mathematics 2025-08-26 Urvashi Joshi , Aniruddha Kumar Sharma , Rajan Arora

Coarse-grained (CG) models are simplified representations of soft matter systems that are commonly employed to overcome size and time limitations in computational studies. Many approaches have been developed to construct and parametrise…

Statistical Mechanics · Physics 2022-09-27 Piero Luchi , Roberto Menichetti , Gianluca Lattanzi , Raffaello Potestio

Effective interactions between charged particles dispersed in an electrolyte are most commonly modeled using the Derjaguin-Landau-Verwey-Overbeek (DLVO) potential, where the ions in the suspension are coarse-grained out at mean-field level.…

Soft Condensed Matter · Physics 2025-10-23 Thijs ter Rele , Gerardo Campos-Villalobos , René van Roij , Marjolein Dijkstra

Within the framework of a functional integral formalism incorporating ionic charge and hard-core (HC) interactions on an equal footing, we formulate a unified theory of equilibrium thermodynamics and ion association in charged solutions.…

Soft Condensed Matter · Physics 2026-02-02 Sahin Buyukdagli

The lithium transport mechanism in ternary polymer electrolytes, consisting of PEO/LiTFSI and various fractions of the ionic liquid N-methyl-N-propylpyrrolidinium bis(trifluoromethane)sulfonimide, are investigated by means of MD…

Soft Condensed Matter · Physics 2013-02-21 Diddo Diddens , Andreas Heuer

A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the…

Mathematical Physics · Physics 2015-06-05 Pierre Degond , Jiale Hua

Lithium electrolytes are commonly described using separate conceptual frameworks for local coordination chemistry, electrostatic screening, and ionic transport. This separation is effective in dilute conditions but breaks down at higher…

Soft Condensed Matter · Physics 2026-05-12 A. Coste , E. Zunzunegui-Bru , A. van Roekeghem , I. Skarmoutsos , S. Mossa

A living polymers transition is found in molecular dynamics simulations of a charge-symmetric size-asymmetric electrolyte with no anisotropic interactions. The fluid has strong polymeric character at low temperatures, where it consists of…

Statistical Mechanics · Physics 2007-05-23 Sorin Bastea

We present a broad family of high-order finite element algorithms for simulating the flow of electroneutral electrolytes. The governing partial differential equations that we solve are the electroneutral…

Numerical Analysis · Mathematics 2026-03-31 Aaron Baier-Reinio , Patrick E. Farrell , Charles W. Monroe

Solid-state ion conductors hold promise as next generation battery materials. To realize their full potential, an understanding of atomic-scale ion conduction mechanisms is needed, including ionic and electronic degrees of freedom.…

Materials Science · Physics 2025-04-24 Harender S. Dhattarwal , Richard C. Remsing

Hypothesis:Diffusion in confinement is an important fundamental problem with significant implications for applications of supported liquid phases. However, resolving the spatially dependent diffusion coefficient, parallel and perpendicular…

A new one-dimensional fluid model for ions in weakly-ionized plasma is proposed. The model differs from the existing ones in two aspects. First, a more accurate approximation of the collision terms in the fluid equations is suggested. For…

Plasma Physics · Physics 2017-04-20 I. L. Semenov

Molecular crystals compose the current state of the art when it comes to organic-based optoelectronic applications. Charge transport is a crucial aspect of their performance. The ability to predict accurate electron mobility is needed in…

Strongly correlated amorphous solids are a class of glass-formers whose inter-particle potential admits an approximate inverse power-law form in a relevant range of inter-particle distances. We study the steady-state plastic flow of such…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

In this article we derive the effective pairwise interactions in a Langevin type united atoms model of water. The interactions are determined from the trajectories of a detailed molecular dynamics simulation of simple point charge water. A…

Computational Physics · Physics 2015-05-13 Anders Eriksson , Martin Nilsson Jacobi , Johan Nystrom , Kolbjorn Tunstrom

The work develops the structure-dynamic approach in nanoionics for detailed description of non-stationary ion-transport processes in irregular potential relief (direct problem) and interpretation of ionic properties and characteristics of…

Materials Science · Physics 2013-11-15 Alexandr Despotuli , Alexandra Andreeva

Understanding ionic transport in halide solid electrolytes is essential for advancing next-generation solid-state batteries. This work demonstrates the effectiveness of fine-tuning the Crystal Hamiltonian Graph Network (CHGNet) universal…

Materials Science · Physics 2026-03-03 Jonas Böhm , Aurélie Champagne

Ionic liquids form intricate microstructures, both in the bulk and near charged surfaces. In this Letter, we show that, given the ionic positions from molecular simulations, the ionic charges minimize a "spin-glass" Hamiltonian for…

Chemical Physics · Physics 2019-05-29 Amir Levy , Michael McEldrew , Martin Z. Bazant

We employ the SMASH transport model to provide event-by-event initial conditions for the energy-momentum tensor and conserved charge currents in hydrodynamic simulations of relativistic heavy-ion collisions. We study the fluctuations and…

A nonlinear time dependent fluid simulation model is developed that describes the evolution of magnetohydrodynamic waves in the presence of collisional and charge exchange interactions of a partially ionized plasma. The partially ionized…

Space Physics · Physics 2015-05-19 Dastgeer Shaikh , G. P. Zank
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