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We study the non-Arrhenius behavior of surface diffusion near the second-order phase transition boundary of an adsorbate layer. In contrast to expectations based on macroscopic thermodynamic effects, we show that this behavior can be…

Soft Condensed Matter · Physics 2009-10-30 I. Vattulainen , J. Merikoski , T. Ala-Nissila , S. C. Ying

This paper introduces the use of statistical distributions based on transport differential equations for clear distinction of transport modes within transient kinetic experiments. More specifically,novel techniques are developed for the…

Applications · Statistics 2025-01-08 M. Ross Kunz , Debtanu Maiti , Gregory Yablonsky , Rebecca Fushimi

We performed direct calculations of carrier hopping rates in strongly disordered conjugated polymers based on the atomic structure of the system, the corresponding electronic states and their coupling to all phonon modes. We found that the…

Disordered Systems and Neural Networks · Physics 2010-08-03 Nenad~Vukmirović , Lin-Wang Wang

Passivating defects and restricting defect mobilities in halide perovskites to increase device lifetimes has become a main field of research. Modeling structure and mobility of point defects is an essential contribution to this endeavor. We…

Materials Science · Physics 2026-05-07 Viren Tyagi , Geert Brocks , Shuxia Tao

We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous time simple random walk on the d-dimensional lattice. These particles are called A-particles and move independently…

Probability · Mathematics 2007-05-23 Harry Kesten , Vladas Sidoravicius

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin equation analytically. On top of translational and rotational diffusion, in the context of the presented model, the "active" particle is driven along…

Soft Condensed Matter · Physics 2013-05-15 Borge ten Hagen , Sven van Teeffelen , Hartmut Löwen

Understanding and predicting the dominant diffusion processes in Cr2O3 is essential to its optimization for anti-corrosion coatings, spintronics, and other applications. Despite significant theoretical effort in modeling defect mediated…

The relationship between anomalous superdiffusive behavior and particle trapping probability is analyzed on a rocking ratchet potential with spatially correlated weak disorder. The trapping probability density is shown, analytically and…

Statistical Mechanics · Physics 2019-02-18 D. G. Zarlenga , G. L. Frontini , Fereydoon Family , C. M. Arizmendi

Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion behavior in a great variety of physical systems. The…

Hypothesis:Diffusion in confinement is an important fundamental problem with significant implications for applications of supported liquid phases. However, resolving the spatially dependent diffusion coefficient, parallel and perpendicular…

Fractons are a type of emergent quasiparticle which cannot move freely in isolation, but can easily move in bound pairs. Similar phenomenology is found in boson-affected hopping models, encountered in the study of polaron systems and…

Strongly Correlated Electrons · Physics 2021-01-12 John Sous , Michael Pretko

We study the dynamics of a quantum particle hopping on a simple cubic lattice and driven by a constant external force. It is coupled to an array of identical, independent thermal reservoirs consisting of free, massless Bose fields, one at…

Mathematical Physics · Physics 2015-06-16 Wojciech De Roeck , Juerg Froehlich , Kevin Schnelli

In many organic molecules the strong coupling of excess charges to vibrational modes leads to the formation of polarons, i.e., a localized state of a charge carrier and a molecular deformation. Incoherent hopping of polarons along the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Benjamin B. Schmidt , Matthias H. Hettler , Gerd Schön

We show that the huge Seebeck coefficients observed recently for ionic conductors, arise from a ratchet effect where activated jumps between neighbor sites are rectified by a temperature gradient, thus driving mobile ions towards the cold.…

Soft Condensed Matter · Physics 2021-02-17 Alois Würger

Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance, exponential or stretched-Gaussian tails. This phenomenon is…

Statistical Mechanics · Physics 2019-07-24 Jakub Ślęzak , Krzysztof Burnecki , Ralf Metzler

Numerical calculations of anisotropic hopping transport based on the resistor network model are presented. Conductivity is shown to follow the stretched exponential dependence on temperature with exponents changing from 1/4 to 1 as the wave…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 S. Ihnatsenka

The process of diffusion is the most elementary stochastic transport process. Brownian motion, the representative model of diffusion, played a important role in the advancement of scientific fields such as physics, chemistry, biology and…

Statistical Mechanics · Physics 2015-08-11 Alexandre Bovet

Although an intimate relation between entropy and diffusion has been advocated for many years and even seems to have been verified in theory and experiments, a quantitatively reliable study, and any derivation of an algebraic relation…

Statistical Mechanics · Physics 2020-07-22 Subhajit Acharya , Biman Bagchi

The paper shows how the diffusive movement of ions through a channel protein can be described as a chemical reaction over an arbitrary shaped potential barrier. The result is simple and intuitive but without approximation beyond the…

Biomolecules · Quantitative Biology 2008-07-10 Bob Eisenberg

The transport of matter by turbulent flows plays an important role, in particular in a geophysical context. Here, we study the relative movement of groups of two (pairs) and four (tetrahedra) Lagrangian particles using direct numerical…

Fluid Dynamics · Physics 2024-10-17 Sebastian Gallon , Fabio Feraco , Raffaele Marino , Alain Pumir
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