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Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

We study the interplay between surface roughening and phase separation during the growth of binary films. Already in 1+1 dimension, we find a variety of different scaling behaviors depending on how the two phenomena are coupled. In the most…

Statistical Mechanics · Physics 2009-10-31 Barbara Drossel , Mehran Kardar

Simulations of high-density deuterium plasmas in a lower single-null magnetic configuration based on a TCV discharge are presented. We evolve the dynamics of three charged species (electrons, D$^{+}$ and D$_{2}^{+}$), interacting with two…

Plasma Physics · Physics 2023-09-06 D. Mancini , P. Ricci , N. Vianello , G. Van Parys , D. S. Oliveira

We study time-dependent density segregation of granular mixtures flowing over an inclined plane. Discrete Element Method (DEM) simulations in a periodic box are performed for granular mixtures of same size and different density particles…

Soft Condensed Matter · Physics 2025-04-16 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

Phase separation of intrinsically disordered proteins is important for the formation of membraneless organelles, or biomolecular condensates, which play key roles in the regulation of biochemical processes within cells. In this work, we…

Soft Condensed Matter · Physics 2020-03-18 Antonia Statt , Helena Casademunt , Clifford P. Brangwynne , Athanassios Z. Panagiotopoulos

Discrete diffusion models have recently shown significant progress in modeling complex data, such as natural languages and DNA sequences. However, unlike diffusion models for continuous data, which can generate high-quality samples in just…

Machine Learning · Computer Science 2025-03-20 Anji Liu , Oliver Broadrick , Mathias Niepert , Guy Van den Broeck

Mixing fronts form when fluids with different chemical compositions are brought into contact. They influence a large range of biogeochemical processes in hydrological systems. An important mechanism governing mixing rates in such fronts is…

Fluid Dynamics · Physics 2023-09-13 Gauthier Rousseau , Satoshi Izumoto , Tanguy Le Borgne , Joris Heyman

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

Size segregation in bedload transport is studied numerically with a coupled fluid-discrete element model. Starting from an initial deposit of small spherical particles on top of a large particle bed, the segregation dynamics of the bed is…

There are two main classes of physics-based models for two-dimensional cellular materials: packings of repulsive disks and the vertex model. These models have several disadvantages. For example, disk interactions are typically a function of…

Soft Condensed Matter · Physics 2018-12-19 Arman Boromand , Alexandra Signoriello , Fangfu Ye , Corey S. O'Hern , Mark D. Shattuck

Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

Soft Condensed Matter · Physics 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

We use Molecular Dynamics combined with Dissipative Particle Dynamics to construct a model of a binary mixture where the two species differ only in their dynamic properties (friction coefficients). For an asymmetric mixture of slow and fast…

Soft Condensed Matter · Physics 2009-11-11 Jacqueline Yaneva , Burkhard Duenweg , Andrey Milchev

Controlling flow-induced segregation in a granular mixture is highly relevant to many industrial settings. To enhance mixing or promote segregation, the continuous gravity flow of a bidisperse granular mixture through a series of narrow…

Soft Condensed Matter · Physics 2026-02-20 Bhanjan Debnath

Discrete particle simulation methods have been used to study axial segregation in a horizontal rotating cylinder that is partially filled with a mixture of two different kinds of granular particles. Under suitable conditions segregation was…

Soft Condensed Matter · Physics 2016-08-31 D. C. Rapaport

There has been an increasing recognition of the utility of models of the spatial dynamics of viral spread within tissues. Multicellular models, where cells are represented as discrete regions of space coupled to a virus density surface, are…

Quantitative Methods · Quantitative Biology 2022-08-02 Thomas Williams , James McCaw , James Osborne

Expressions for local discrete variance decay (DVD) rates are directly derived from discrete tracer equations without any assumptions on discrete fluxes of the second moment. Spurious mixing (SM) associated with numerical implementations of…

Atmospheric and Oceanic Physics · Physics 2026-03-26 Tridib Banerjee , Sergey Danilov , Knut Klingbeil

Morphogenesis of complex body shapes is reproducible despite the noise inherent in the underlying morphogenetic processes. However, how these morphogenetic processes work together to achieve this reproducibility remains unclear. Here, we…

Cell Behavior · Quantitative Biology 2025-12-24 Dominic K Devlin , Austen RD Ganley , Nobuto Takeuchi

We present a continuum approach to model segregation of size-bidisperse granular materials in unsteady bounded heap flow as a prototype for modeling segregation in other time varying flows. In experiments, a periodically modulated feed rate…

Soft Condensed Matter · Physics 2022-08-02 Hongyi Xiao , Zhekai Deng , Julio M. Ottino , Paul B. Umbanhowar , Richard M. Lueptow

Experimental studies of cell motility in culture have shown that under adequate conditions these living organisms possess the ability to organize themselves into complex structures. Such structures may exhibit a synergy that greatly…

Statistical Mechanics · Physics 2021-10-27 G. Nakamura , M. Badoual , E. Fabiani , C. Deroulers

Liquid-liquid phase separation, whereby two liquids spontaneously demix, is ubiquitous in industrial, environmental, and biological processes. While isotropic fluids are known to condense into spherical droplets in the binodal region, these…

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