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We consider a sharp interface formulation for the multi-phase Mullins-Sekerka flow. The flow is characterized by a network of curves evolving such that the total surface energy of the curves is reduced, while the areas of the enclosed…

Numerical Analysis · Mathematics 2024-07-29 Tokuhiro Eto , Harald Garcke , Robert Nürnberg

We propose a novel centrality definition-independent method for analyzing higher-order cumulants, specifically addressing the challenge of volume fluctuations that dominate in low-energy heavy-ion collisions. This method reconstructs…

Data Analysis, Statistics and Probability · Physics 2025-11-11 Zhaohui Wang , Xiaofeng Luo

We analyze the dynamics of concentrated polymer solutions modeled by a 2D Smoluchowski equation. We describe the long time behavior of the polymer suspensions in a fluid. When the flow influence is neglected the equation has a gradient…

Analysis of PDEs · Mathematics 2025-09-17 Xingyu Li , Arghir Zarnescu

We investigate the rheology, microscopic structure, and dynamics of an industrially relevant dispersion made of cationic surfactant vesicles, from dilute to concentrated conditions. We find that these suspensions exhibit a shear-thinning…

Soft Condensed Matter · Physics 2025-04-29 Nikolaos Kolezakis , Stefano Aime , Raffaele Pastore , Vincenzo Guida , Gaetano D Avino , Paolo Edera

Spontaneous emergence of organized states in materials driven by non-equilibrium conditions is of significant fundamental and technological interest. In many cases, the organized states are complex, hence, with some well-studied exceptions,…

Soft Condensed Matter · Physics 2021-09-17 Geet Raju , Nikos Kyriakopoulos , Jaakko V. I. Timonen

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

Classical density-functional theory is the most direct approach to equilibrium structures and free energies of inhomogeneous liquids, but requires the construction of an approximate free-energy functional for each liquid of interest. We…

Soft Condensed Matter · Physics 2014-10-10 Ravishankar Sundararaman , Kendra Letchworth-Weaver , T A Arias

We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nematic liquid crystal within a bounded domain in two or three…

Analysis of PDEs · Mathematics 2026-05-19 Hengrong Du , Fizay-Noah Lee , Gieri Simonett

We present results of molecular dynamics simulations of the electron system on the surface of liquid helium. The simulations are done for 1600 electrons with periodic boundary conditions. Electron scattering by capillary waves and phonons…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 K. Moskovtsev amd M. I. Dykman

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

Extractant design in liquid-liquid extraction (LLE) is a research frontier of metal ion separations that typically focuses on the direct extractant-metal interactions. However, a more detailed understanding of energetic drivers of…

Chemical Physics · Physics 2023-12-15 Xiaoyu Wang , Srikanth Nayak , Richard E. Wilson , L. Soderholm , Michael J. Servis

Droplets abound in nature and technology. In general, they are multicomponent, and, when out of equilibrium, with gradients in concentration, implying flow and mass transport. Moreover, phase transitions can occur, with either evaporation,…

Fluid Dynamics · Physics 2020-05-11 Detlef Lohse , Xuehua Zhang

We present a new density functional, which is the result of a natural evolution and improvement of previous density functional theories for liquid helium. We focus on the key ingredients of the theory, showing how they determine important…

Condensed Matter · Physics 2007-05-23 Franco Dalfovo , Andrea Lastri , Sandro Stringari

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

Soft Condensed Matter · Physics 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor

In this work we theoretically study the differential capacitance of an aqueous electrolyte in contact with a planar electrode, using classical Density Functional Theory, and show how this measurable quantity can be used as a probe to better…

Soft Condensed Matter · Physics 2021-09-16 Peter Cats , René van Roij

We computationally study the spontaneous phase separation of ternary fluid mixtures using the lattice Boltzmann method, both when all the surface tensions are equal and when they have different values. Previous theoretical works typically…

Soft Condensed Matter · Physics 2022-08-01 Alvin C. M. Shek , Halim Kusumaatmaja

We present a continuum theory of self-propelled particles, without alignment interactions, in a momentum-conserving solvent. To address phase separation we introduce a scalar concentration field $\phi$ with advective-diffusive dynamics.…

Soft Condensed Matter · Physics 2015-11-18 Adriano Tiribocchi , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates

We propose a framework to study the spatio-temporal evolution of liquid-liquid phase separation of weak polyelectrolytes in ionic solutions. Unlike strong polyelectrolytes, which carry a fixed charge, the charge state of weak…

Soft Condensed Matter · Physics 2025-03-19 Giulia Laura Celora , Ralf Blossey , Andreas Munch , Barbara Wagner
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