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Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

We consider a cluster growth model on Z^d, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop moving when reaching a site not occupied by previous walks. It…

Probability · Mathematics 2010-05-31 Amine Asselah , Alexandre Gaudilliere

Sampling viable 3D structures (e.g., molecules and point clouds) with SE(3)-invariance using diffusion-based models proved promising in a variety of real-world applications, wherein SE(3)-invariant properties can be naturally characterized…

Machine Learning · Computer Science 2024-03-05 Zihan Zhou , Ruiying Liu , Jiachen Zheng , Xiaoxue Wang , Tianshu Yu

The temporal evolution of ordered gamma prime (L12)-precipitates precipitating in a disordered gamma(f.c.c.) matrix is studied in extensive detail for a Ni-12.5 Al at.% alloy aged at 823 K (550 oC), for times ranging from 0.08 to 4096 h.…

Flares in radio-loud AGN are thought to be associated with the injection of fresh plasma into the compact jet base. Such flares are usually strongest and appear earlier at shorter radio wavelengths. Hence, VLBI at mm-wavelengths is best…

High Energy Astrophysical Phenomena · Physics 2021-01-04 R. Schulz , M. Kadler , E. Ros , M. Perucho , T. P. Krichbaum , I. Agudo , T. Beuchert , M. Lindqvist , K. Mannheim , J. Wilms , J. A. Zensus

We study the dynamics of a few-quantum-particle cloud in the presence of two- and three-body interactions in weakly disordered one-dimensional lattices. The interaction is dramatically enhancing the Anderson localization length $\xi_1$ of…

Disordered Systems and Neural Networks · Physics 2017-04-26 I. I. Yusipov , T. V. Laptyeva , A. Yu. Pirova , I. B. Meyerov , S. Flach , M. V. Ivanchenko

We study the dynamics of a single-particle wave packet on a one-dimensional lattice subject to periodic random phase kicks with finite spatial correlation length. This stroboscopic setting provides a controllable model of dephasing in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Pei Wang

The diffusion path and diffusivity of oxygen in crystalline silicon are computed using an empirical interatomic potential which was recently developed for modelling the interactions between oxygen and silicon atoms. The diffusion path is…

mtrl-th · Physics 2008-02-03 Z. Jiang , R. A. Brown

Electrochemical Impedance Spectroscopy and Raman studies are performed on fast ion conducting, AgI-Ag2O-MoO3 glasses, over a wide range of composition to understand the features of structure, ion migration and their correlation. These…

Materials Science · Physics 2019-06-19 B. Tanujit , S. Asokan

The estimation of (n-1)2 interdiffusion coefficients in an n component system requires (n-1) diffusion paths to intersect or pass closely in the (n-1) dimensional space according to the body diagonal diffusion couple method. These…

Materials Science · Physics 2022-05-16 Anuj Dash , Aloke Paul

Ion diffusion is important in a variety of applications, yet fundamental understanding of the diffusive process in solids is still missing, especially considering the interaction of lattice vibrations (phonons) and the mobile species. In…

Materials Science · Physics 2020-12-02 Kiarash Gordiz , Sokseiha Muy , Wolfgang G. Zeier , Yang Shao-Horn , Asegun Henry

Selective optical excitation of a substrate lattice can drive phase changes across hetero-interfaces. This phenomenon is a non-equilibrium analogue of static strain control in heterostructures and may lead to new applications in optically…

We study the electron dynamics in a 2D waveguide bounded by a periodically rippled surface in the presence of the time-periodic electric field. The main attention is paid to a possibility of a weak quantum diffusion along the coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Ya. Demikhovskii , F. M. Izrailev , A. I. Malyshev

The behavior of the self diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , A. Lefèvre

Atomic diffusion at nanometer length scale may differ significantly from bulk diffusion, and may sometimes even exhibit counterintuitive behavior. In the present work, taking Cu/Ni as a model system, a general phenomenon is reported which…

Materials Science · Physics 2019-05-15 Atul Tiwari , M. K. Tiwari , Mukul Gupta , H. -C. Wille , Ajay Gupta

Demixing of binary fluids subjected to slow temperature ramps shows repeated waves of nucleation which arise as a consequence of the competition between generation of supersaturation by the temperature ramp and relaxation of supersaturation…

Statistical Mechanics · Physics 2012-10-16 Izabella J. Benczik , Jürgen Vollmer

We consider the problem of approximating the Langevin dynamics of inertial particles being transported by a background flow. In particular, we study an acceleration corrected advection-diffusion approximation to the Langevin dynamics, a…

Probability · Mathematics 2026-02-24 Yoichiro Mori , Chanoknun Sintavanuruk , Truong-Son P. Van

Collective diffusion coefficient in a two-dimensional lattice gas on a nonhomogeneous substrate is investigated using variational approach. Particles reside at adsorption sites with different well depths potentials and jump randomly between…

Statistical Mechanics · Physics 2009-11-13 F Krzyzewski , Magdalena A. Zaluska-Kotur

In this paper a lattice model for diffusional transport of particles in the interphase cell nucleus is proposed. Dense networks of chromatin fibers are created by three different methods: randomly distributed, non-interconnected obstacles,…

Biological Physics · Physics 2009-11-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

Molecular dynamics is a versatile and powerful method to study diffusion in solid-state ionic conductors, requiring minimal prior knowledge of equilibrium or transition states of the system's free energy surface. However, the analysis of…

Materials Science · Physics 2019-05-22 Leonid Kahle , Albert Musaelian , Nicola Marzari , Boris Kozinsky