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In this work we first study the quantum diffusion in a volume of a crystalline solid at high interstitial concentrations when the effects of the short-range interactions between the diffusing particles are to be factors. Within the scope of…

Materials Science · Physics 2007-05-23 G. L. Buchbinder , V. N. Shapov

We report the results of MD numerical simulations for a one component model of a plasma in the weakly coupled regime, at different values of temperature $T$ and applied magnetic field $\vec B$, in which the diffusion coefficient $D_{\perp}$…

Plasma Physics · Physics 2016-05-03 Lorenzo Valvo , Andrea Carati

We study the surface diffusion of the model cyanobacterium Synechocystis sp. PCC $6803$ during the incipient stages of cell contact with a glass surface in the dilute regime. We observe a twitching motility with alternating immobile…

Discontinuous transitions into absorbing states require an effective mechanism that prevents the stabilization of low density states. They can be found in different systems, such as lattice models or stochastic differential equations (e.g.…

Statistical Mechanics · Physics 2015-08-12 Salete Pianegonda , Carlos E. Fiore

Driven surface diffusion occurs, for example, in molecular beam epitaxy when particles are deposited under an oblique angle. Elastic phase transitions happen when normal modes in crystals become soft due to the vanishing of certain elastic…

Statistical Mechanics · Physics 2015-06-19 Hans-Karl Janssen , Olaf Stenull

We consider surface diffusion of a single particle, which performs site-to-site under-barrier hopping, fulfils intrasite motion between the ground and the first excited states within a quantum well, and interacts with surface phonons. On…

Statistical Mechanics · Physics 2015-03-17 V. V. Ignatyuk

We consider a diffusion process on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ an energetic variational approach with both surface divergence and transport theorems to derive…

Mathematical Physics · Physics 2018-10-19 Hajime Koba

We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period $a$. We solve the time evolution of the field (temperature)…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 S. Makino , T. Fukui , T. Yoshida , Y. Hatsugai

Clarifying the factors that control the contact angle of a liquid on a solid substrate is a long-standing scientific problem pertinent across physics, chemistry and materials science. Progress has been hampered by the lack of a…

Statistical Mechanics · Physics 2019-11-11 Robert Evans , Maria C. Stewart , Nigel B. Wilding

In the present work we investigate a new statistical ensemble, which seems logical to be entitled the open one, for the case of a one-component system of ordinary particles. Its peculiarity is in complementing the consideration of a system…

Statistical Mechanics · Physics 2009-12-13 V. M. Zaskulnikov

Here, an approach in terms of shot noise is proposed to study and characterize surface diffusion and low vibrational motion when having interacting adsorbates on surfaces. In what we call statistical limit, that is, at long times and high…

Statistical Mechanics · Physics 2007-06-13 R. Martinez-Casado , J. L. Vega , A. S. Sanz , S. Miret-Artes

We consider the diffusion and spreading of chainlike molecules on solid surfaces. We first show that the steep spherical cap shape density profiles, observed in some submonolayer experiments on spreading polymer films, imply that the…

Soft Condensed Matter · Physics 2009-10-31 T. Hjelt , S. Herminghaus , T. Ala-Nissila , S. C. Ying

A system of N classical particles in a 2D periodic cell interacting via long-range attractive potential is studied. For low energy density $U$ a collapsed phase is identified, while in the high energy limit the particles are homogeneously…

Statistical Mechanics · Physics 2016-08-31 Alessandro Torcini , Mickael Antoni

This Communication reports a geometrical factor that is necessary in the diffusion boundary condition across surface steps. Specifically, this factor relates adatom concentration to its spatial gradient at a surface step, and it describes…

Materials Science · Physics 2015-06-03 Xiaobin Niu , Hanchen Huang

The variance of the local density of the pair contact process with diffusion (PCPD) is investigated in a bosonic description. At the critical point of the absorbing phase transition (where the average particle number remains constant) it is…

Statistical Mechanics · Physics 2009-11-10 Matthias Paessens , Gunter M. Schuetz

We consider liquid-vapor systems in finite volume $V\subset\R^d$ at parameter values corresponding to phase coexistence and study droplet formation due to a fixed excess $\delta N$ of particles above the ambient gas density. We identify a…

Mathematical Physics · Physics 2009-11-07 Marek Biskup , Lincoln Chayes , Roman Kotecky

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

We consider random networks whose dynamics is described by a rate equation, with transition rates $w_{nm}$ that form a symmetric matrix. The long time evolution of the system is characterized by a diffusion coefficient $D$. In one dimension…

Statistical Mechanics · Physics 2012-12-04 Yaron de Leeuw , Doron Cohen

We investigate the influence of particle diffusion in the two-dimension contact process (CP) with a competitive dynamics in bipartite sublattices, proposed in [Phys. Rev. E 84, 011125 (2011)]. The particle creation depends on its first and…

Statistical Mechanics · Physics 2017-06-28 M. M. de Oliveira , C. E. Fiore

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov