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We examine the budding of a nanoscale particle through a lipid bilayer using molecular dynamics simulations, free energy calculations, and an elastic theory, with the aim of determining the extent to which equilibrium elasticity theory can…

Subcellular Processes · Quantitative Biology 2012-02-22 Teresa Ruiz-Herrero , Enrique Velasco , Michael F. Hagan

We investigate the structure of cold dark matter halos using advanced models of spherical collapse and accretion in an expanding Universe. These base on solving time-dependent equations for the moments of the phase-space distribution…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 A. Lapi , A. Cavaliere

A simple model of an active colloid consisting of dumbbell-shaped particles that cyclically change their length without propelling themselves is proposed and analyzed. At nanoscales, it represents an idealization for bacterial cytoplasm or…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuki Koyano , Hiroyuki Kitahata , Alexander S. Mikhailov

In this paper, we study a nonlinear free boundary problem modeling the growth of spherically symmetric tumors. The tumor consists of a central necrotic core, an intermediate annual quiescent-cell layer, and an outer proliferating-cell…

Analysis of PDEs · Mathematics 2025-11-04 Junde Wu , Hao Xu , Yuehong Zhuang

The free energy of the solid and fluid phases of the Girifalco C60 model are determined through extensive Monte Carlo simulations. In this model the molecules interact through a spherical pair potential, characterized by a narrow and…

Soft Condensed Matter · Physics 2009-11-07 D. Costa , G. Pellicane , M. C. Abramo , C. Caccamo

We study spherically symmetric bubble growth and droplet decay in first order cosmological phase transitions, using a numerical code including both the complete hydrodynamics of the problem and a phenomenological model for the microscopic…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Kurki-Suonio , M. Laine

In colloidal systems, Brownian motion emerges from the massive separation of time and length scales associated to characteristic dynamics of the solute and solvent constituents. This separation of scales produces several temporal regimes in…

Thin film growth is investigated in two types of lattice gas models where substrate and film particles are different, expressed by unequal interaction energy parameters. The first is of solid-on-solid type, whereas the second type…

Soft Condensed Matter · Physics 2021-02-17 Eelco Empting , Miriam Klopotek , Alexander Hinderhofer , Frank Schreiber , Martin Oettel

With Monte Carlo simulations, we investigate the relaxation dynamics with a domain wall for magnetic systems at the critical temperature. The dynamic scaling behavior is carefully analyzed, and a dynamic roughening process is observed. For…

Statistical Mechanics · Physics 2012-02-08 N. J. Zhou , B. Zheng

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

Understanding non-equilibrium phenomena, such as growth, and connecting them to equilibrium phase behavior is a major challenge, in particular for complex multicomponent materials. We use X-ray reflectivity to determine the surface…

We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and crystal growth in the diffusion-controlled limit. We refine the…

Materials Science · Physics 2015-05-18 Gyula I. Tóth , György Tegze , Tamás Pusztai , László Gránásy

The problem of the diffusion evolution of a pore filled with molecular hydrogen in a spherical granule in a hydrogen medium is solved. The initial position of the pore is displaced relative to the center of the granule. A nonlinear system…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 M. I. Kopp , P. N. Ostapchuk , V. V. Yanovsky

We recover the so-called field-road diffusion model as the hydrodynamic limit of an interacting particle system. The former consists of two parabolic PDEs posed on two sets of different dimensions (a "field" and a "road" in a population…

Analysis of PDEs · Mathematics 2024-06-21 Matthieu Alfaro , Mustapha Mourragui , Samuel Tréton

Droplets are essential for spatially controlling biomolecules in cells. To work properly, cells need to control the emergence and morphology of droplets. On the one hand, driven chemical reactions can affect droplets profoundly. For…

Soft Condensed Matter · Physics 2024-03-14 Noah Ziethen , David Zwicker

We review a molecular dynamics method for nucleon many-body systems called the quantum molecular dynamics (QMD) and our studies using this method. These studies address the structure and the dynamics of nuclear matter relevant to the…

Nuclear Theory · Physics 2014-01-31 Toshiki Maruyama , Gentaro Watanabe , Satoshi Chiba

The meander instability of a vicinal surface growing under step flow conditions is studied within a solid-on-solid model. In the absence of edge diffusion the selected meander wavelength agrees quantitatively with the continuum linear…

Statistical Mechanics · Physics 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

We present results for the nonequilibrium dynamics of collapse for a model flexible homopolymer on simple cubic lattices with fixed and fluctuating bonds between the monomers. Results from our Monte Carlo simulations show that,…

Soft Condensed Matter · Physics 2017-10-11 Henrik Christiansen , Suman Majumder , Wolfhard Janke

To explore the coupling between a growing population of microorganisms such as E. coli and a nonuniform nutrient distribution, we formulate a minimalistic model. It consists of active Brownian particles that divide and grow at a…

Biological Physics · Physics 2024-01-11 Till Welker , Holger Stark

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno
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