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Theory of diffusion-mediated reactions is already established for the target problem in the dilute limit, where the immobile target is surrounded by many quenchers. For lattice random walks in the crowded situation, each quencher is…

Statistical Mechanics · Physics 2015-05-13 Kazuhiko Seki , M. Tachiya

In the decay region around the centreline of three qualitatively different turbulent plane wakes, the turbulence is non-homogeneous and two-point turbulent diffusion counteracts the turbulence cascade all the way down to scales smaller than…

Fluid Dynamics · Physics 2026-01-09 Ernesto Fuentes Noriega , John Christos Vassilicos

We investigate the role of deformation on the fusion probability around the barrier using the Time-Dependent Hartree-Fock theory with a full Skyrme force. We obtain a distribution of fusion probabilities around the nominal barrier due to…

Nuclear Theory · Physics 2016-08-16 Cédric Simenel , Michael Bender , Philippe Chomaz , Thomas Duguet , Gilles De France

We have imagined a numerical experiment to explore the onset of turbulent intermittency associated with a spatial perturbation of the correlation length. We place two isotropic regions, with different integral scales, inside a volume where…

Fluid Dynamics · Physics 2012-11-29 Daniela Tordella , Michele Iovieno

We theoretically investigate homogeneous crystal nucleation in a solution containing a solute and a volatile solvent. The solvent evaporates from the solution, thereby continuously increasing the concentration of the solute. We view it as…

Soft Condensed Matter · Physics 2023-11-16 R. de Bruijn , J. J. Michels , P. van der Schoot

The mode-coupling theory for ideal glass transitions in simple systems is generalized to a theory for the glassy dynamics of molecular liquids using the density fluctuations of the sites of the molecule's constituent atoms as the basic…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , W. Gotze

To understand how spatiotemporal chaos may modify material transport, we use direct numerical simulations of the three-dimensional Boussinesq equations and of an advection-diffusion equation to study the transport of a passive tracer by the…

Pattern Formation and Solitons · Physics 2009-11-10 K. -H. Chiam , M. C. Cross , H. S. Greenside , P. F. Fischer

There has been considerable recent study in "sub-diffusion" models that replace the standard parabolic equation model by a one with a fractional derivative in the time variable. There are many ways to look at this newer approach and one…

Analysis of PDEs · Mathematics 2019-04-08 William Rundell , Zhidong Zhang

Prompted by recent experimental developments, a theory of surface scattering of fast atoms at grazing incidence is developed. The theory gives rise to a quantum mechanical limit for ordered surfaces that describes coherent diffraction peaks…

Atomic Physics · Physics 2022-09-23 J. R. Manson , Hocine Khemliche , Philippe Roncin

We study the rate of activated motion over multiple barriers, in particular the correlated double-jump of an adatom diffusing on a missing-row reconstructed Platinum (110) surface. We develop a Transition Path Theory, showing that the…

Materials Science · Physics 2009-10-30 Joachim Jacobsen , Karsten W. Jacobsen , James P. Sethna

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

In order to compare theoretical calculations of thermal fluctuations of conserved quantities, such as charge susceptibilities or the specific heat, to experimentally measured correlations and fluctuations in heavy ion collisions, one must…

Nuclear Theory · Physics 2017-05-31 Scott Pratt , Clint Young

We present an experimental study of density and order fluctuations in the vicinity of the solid-liquid-like transition that occurs in a vibrated quasi-two-dimensional granular system. The two-dimensional projected static and dynamic…

Statistical Mechanics · Physics 2015-06-04 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

The interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied. The mirror plane is assumed to obey either Dirichlet or…

Statistical Mechanics · Physics 2009-11-13 Thorsten Emig

The diffusion equation is the primary tool to study the movement dynamics of a free Brownian particle, but when spatial heterogeneities in the form of permeable interfaces are present, no fundamental equation has been derived. Here we…

Statistical Mechanics · Physics 2022-09-14 Toby Kay , Luca Giuggioli

In this paper a Frenkel--Kontorova model with a nonlinear interaction potential is used to describe a vacancy defect in a crystal. According to recent numerical results [Cuevas et al, Phys. Lett. A 315, 364 (2003)] the vacancy can migrate…

Pattern Formation and Solitons · Physics 2007-05-23 J. Cuevas , J. F. R. Archilla , B. Sánchez-Rey , F. R. Romero

An exact description of the statistical motion of active particles in three dimension is presented in the framework of a generalized diffusion equation. Such a generalization contemplates a non-local, in time and space, connecting (memory)…

Statistical Mechanics · Physics 2023-07-20 Francisco J Sevilla

We investigate how momentum and kinetic energy is transferred between Fourier components (the so-called triad interactions) in measured turbulent flow fields, i.e. in practical, discretely sampled signals with limited temporal and spatial…

Fluid Dynamics · Physics 2025-12-08 Preben Buchhave , Clara Velte

We analyze the out-of-equilibrium behavior of exclusion processes where agents interact with their nearest neighbors, and we study the short-range correlations which develop because of the exclusion and other contact interactions. The form…

Statistical Mechanics · Physics 2013-04-17 Gianluca Ascolani , Mathilde Badoual , Christophe Deroulers

We study the two-point correlation function in the model of branched polymers and its relation to the critical behaviour of the model. We show that the correlation function has a universal scaling form in the generic phase with the only…

High Energy Physics - Lattice · Physics 2009-10-30 P. Bialas , Z. Burda , J. Jurkiewicz