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Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear multicomponent diffusion equations should be ordered and special…

Materials Science · Physics 2015-03-17 A. N. Gorban , H. P. Sargsyan , H. A. Wahab

The nonlinear diffusion in multicomponent liquids under chemical reactions influence has been studied. The theory is applied to the analysis of mass transfer in a solution of acetone-benzene. It has been shown, that the creation of…

Fluid Dynamics · Physics 2010-05-20 Vjacheslav V. Obukhovsky , Viktoriya V. Nikonova

The diffusion of a molecular motor in the presence of a constant external force is considered on the basis of a simple theoretical model. The motor is represented by a Brownian particle moving in a series of parabolic potentials placed…

Statistical Mechanics · Physics 2016-06-01 Ryota Shinagawa , Kazuo Sasaki

We study reaction-diffusion processes with concentration-dependent diffusivity. First, we determine the decay of the concentration in the single-species and two-species diffusion-controlled annihilation processes. We then consider two…

Statistical Mechanics · Physics 2013-05-30 P. L. Krapivsky

Ni/Al reactive multilayers are promising materials for applications requiring controlled local energy release and superior mechanical performance. This study systematically investigates the impact of compositional variations, ranging from…

Materials Science · Physics 2026-04-14 Nensi Toncich , Fabian Schwarz , Rebecca A. Gallivan , Jemma Gillon , Ralph Spolenak

The microscopic theory of atomic diffusion kinetics is used for f.c.c. substitutional solid solutions. Within this approach, the short-range order relaxation is due to the atomic migration. Experimental data on the time dependence of…

Materials Science · Physics 2014-06-12 T. M. Radchenko , V. A. Tatarenko , S. M. Bokoch , M. P. Kulish

The purpose of this work is to use active particles to study the effect of facilitation on supercooled liquids. To this end we investigate the behavior of a model supercooled liquid doped with intermittently active and intermittently slowed…

Soft Condensed Matter · Physics 2023-08-11 Victor Teboul

Reaction-diffusion systems, which consist of the reacting particles subject to diffusion process, constitute one of the common examples of non-linear statistical systems. In low space dimensions $d \leq 2$ the usual description by means of…

Statistical Mechanics · Physics 2023-10-24 Michal Hnatič , Matej Kecer , Tomáš Lučivjanský

We report results from the molecular dynamics simulations of a binary colloidal mixture subjected to an external potential barrier along one of the spatial directions at low volume fraction, {\phi} = 0.2. The variations in the asymmetry of…

Soft Condensed Matter · Physics 2021-01-26 Jalim Singh , Mahammad Mustakim , A. V. Anil Kumar

Biological molecular motors are high-performance nanomachines that convert chemical energy into mechanical motion via chemomechanical coupling. Their reaction cycles typically comprise a series of intermediate chemical states between the…

Biological Physics · Physics 2025-05-26 Akihiro Fukuda , Yohei Nakayama , Shoichi Toyabe

We present results of theoretical description and numerical calculation of the dynamics of molecular liquids based on the Reference Interaction Site Model / Mode-Coupling Theory. They include the temperature-pressure(density) dependence of…

Chemical Physics · Physics 2007-05-23 A. E. Kobryn , T. Yamaguchi , F. Hirata

Experimental observations suggest that molecular adsorbates exhibit a larger friction coefficient than atomic species of comparable mass, yet the origin of this increased friction is not well understood. We present a study of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-22 B. A. J. Lechner , A. S. de Wijn , H. Hedgeland , A. P. Jardine , B. J. Hinch , W. Allison , J. Ellis

We study diffusion-reaction processes on periodic square planar lattices and simple cubic (sc) lattices. Considered first is a single diffusing reactant undergoing an irreversible reaction upon first encounter with a stationary co-reactant…

Statistical Mechanics · Physics 2018-08-22 E. Abad , T. Abil , A. Santos , J. J. Kozak

Chemical reactions are a prominent feature of molecular communication (MC) systems, with no direct parallels in wireless communications. While chemical reactions may be used inside the transmitter nodes, receiver nodes or the communication…

Information Theory · Computer Science 2018-04-25 Maryam Farahnak-Ghazani , Gholamali Aminian , Mahtab Mirmohseni , Amin Gohari , Masoumeh Nasiri-Kenari

The quantum diffusion approach is extended to low energy fusion (capture) reactions of light- and medium-mass nuclei. The dependence of the friction parameter on bombarding energy is taken into account. A simple analytic expression is…

Nuclear Theory · Physics 2020-07-15 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , H. Lenske

The self-diffusion process in a dense liquid is influenced by collective particle movements. Extensive molecular dynamics simulations for liquid aluminium and rubidium evidence a crossover in the diffusion coefficient at about $1.4$ times…

Disordered Systems and Neural Networks · Physics 2024-12-03 Franz Demmel , Noel Jakse

Kinetics of collision-sticking processes between vapor molecules and molecular clusters of low volatile compounds facilitates the initial steps of atmospheric clustering. Conventional theoretical models are quite inaccurate due to the…

The effect of conformational fluctuations of modular macromolecules, such as enzymes, on their diffusion properties is addressed using a simple generic model of an asymmetric dumbbell made of two hydrodynamically coupled subunits. It is…

Soft Condensed Matter · Physics 2017-11-22 Pierre Illien , Tunrayo Adeleke-Larodo , Ramin Golestanian

In conventional nuclear experiments a beam of accelerated nuclei collides with a target nucleus that is surrounded by other nuclei in a molecule, in condensed matter, or in a plasma environment. It is shown that for low collision energies…

Nuclear Theory · Physics 2007-05-23 M. Yu. Kuchiev , B. L. Altshuler , V. V. Flambaum

Nonlinear dynamics of photoinduced cooperative phenomena is studied by numerical calculations on a model of molecular crystals. We found that the photoinduced nucleation process is triggered only when certain amount of excitation energy is…

Computational Physics · Physics 2009-11-13 Kunio Ishida , Keiichiro Nasu
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