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We develop a fully coupled theoretical description of dislocation dynamics on deformable crystalline surfaces, using continuum modeling and the amplitude-phase-field crystal (APFC) framework extended to curved geometries. We derive a…

Soft Condensed Matter · Physics 2026-02-17 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

The dispersion relation of vertically oscillating fluid surfaces has been a subject extensively studied in the past, as well as surface instabilities produced by electrohydrodynamic (EHD) waves in similar configurations. In the present work…

Fluid Dynamics · Physics 2024-05-29 Raúl Fernández-Mateo , Alberto T. Pérez

Active liquid crystals or active gels are soft materials which can be physically realised e.g. by preparing a solution of cytoskeletal filaments interacting with molecular motors. We study the hydrodynamics of an active liquid crystal in a…

Soft Condensed Matter · Physics 2007-06-29 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

So far the problem of interface behavior upon phase transition has not yet acquired a satisfactory mathematical formulation due to a variety of the physical phenomena involved. Analytical solutions exist only for elementary problems…

Statistical Mechanics · Physics 2011-08-12 Alex Guskov

Liquid migration in active soft solids is a very common phenomenon in Nature at different scales: from cells to leaves. It can be caused by mechanical as well as chemical actions. The work focuses on the migration of liquid provoked by…

Soft Condensed Matter · Physics 2020-06-29 Michele Curatolo , Paola Nardinocchi , Luciano Teresi

We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of islands on terraces is always able to destroy asymptotically…

Statistical Mechanics · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

Non-equilibrium transport of particles embedded in a liquid crystal host can, by cooling through a phase transition, be exploited to create a remarkable variety of structures including shells, foams, and gels. Due to the complexity of the…

We present a dynamic model to study ordering of particles on arbitrary curved surfaces. Thereby the particles are represented as maxima in a density field and a surface partial differential equation for the density field is solved to the…

Materials Science · Physics 2010-03-02 Rainer Backofen , Axel Voigt , Thomas Witkowski

We consider a simple model for the growth of isolated steps on a vicinal crystal surface. It incorporates diffusion and drift of adatoms on the terrace, and strong step and kink edge barriers. Using a combination of analytic methods and…

Materials Science · Physics 2009-10-31 J. Heinonen , I. Bukharev , T. Ala-Nissila , J. M. Kosterlitz

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field description of crystallization in active systems. It combines the PFC model (or conserved Swift-Hohenberg equation) of colloidal crystallization and…

Soft Condensed Matter · Physics 2021-03-10 Lukas Ophaus , Edgar Knobloch , Svetlana V. Gurevich , Uwe Thiele

We investigate the mechanisms involved in the thermomigration of interstitial hydrogen in metals. Using irreversible thermodynamics, we develop a comprehensive mechanistic model to capture the controlling effects. Crucially, through…

Statistical Mechanics · Physics 2025-11-06 Daniel J. Long , Edmund Tarleton , Alan C. F. Cocks , Felix Hofmann

The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Defects in the director field can arise due to external factors such as applied…

Numerical Analysis · Mathematics 2019-10-08 Craig S. MacDonald , John A. Mackenzie , Alison Ramage

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

Bacterial swarming is a rapid mass-migration, in which thousands of cells spread collectively to colonize a surface. Physically, swarming is a natural example of active particles that use energy to generate motion. Accordingly,…

Soft Condensed Matter · Physics 2019-11-14 Avraham Be`er , Bella Ilkanaiv , Renan Gross , Daniel B. Kearns , Sebastian Heidenreich , Markus Bär , Gil Ariel

Using first-principles density functional calculations we demonstrate that ferromagnetism can be induced and modulated on an otherwise paramagnetic Pd metal thin-film surface through application of an external electric field. As free…

Materials Science · Physics 2010-02-17 Yang Sun , J. D. Burton , E. Y. Tsymbal

We demonstrate several examples of driving and steering of colloids when dispersed in nematic liquid crystals. The driving mechanism is based on the principle of nonlinear electrophoresis which is mediated by the asymmetry in the structure…

Soft Condensed Matter · Physics 2019-08-28 S. Hernàndez-Navarro , P. Tierno , J. Ignés-Mullol , F. Sagués

The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa

This letter investigates the molecular dynamics of inelastic disks without external forcing. By introducing a new observation frame with a rescaled time, we observe the virtual steady states converted from asymptotic energy dissipation…

Statistical Mechanics · Physics 2009-10-31 Teruhisa S. Komatsu

The stability of organic solar cells is strongly affected by the morphology of the photoactive layers, whose separated crystalline and/or amorphous phases are kinetically quenched far from their thermodynamic equilibrium during the…

Materials Science · Physics 2020-03-31 Olivier J. J. Ronsin , Jens Harting