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The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

We consider the properties of the diffusion controlled reaction A+B->0 in the steady state, where fixed currents of A and B particles are maintained at opposite edges of the system. Using renormalisation group methods, we explicitly…

Condensed Matter · Physics 2009-10-28 Martin Howard , John Cardy

We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregated, we prove that the solution converges to that of the heat…

Analysis of PDEs · Mathematics 2025-06-12 Yuki Tsukamoto

We revise the encounter-based approach to imperfect diffusion-controlled reactions, which employs the statistics of encounters between a diffusing particle and the reactive region to implement surface reactions. We extend this approach to…

Statistical Mechanics · Physics 2023-10-03 Denis S. Grebenkov

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

The mechanical response of packings of purely repulsive, spherical particles to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that, at small pressure $p$, the ensemble-averaged static…

Soft Condensed Matter · Physics 2020-01-29 Kyle VanderWerf , Arman Boromand , Mark D. Shattuck , Corey S. O'Hern

Mixing fronts, where fluids of different chemical compositions mix with each other, are typically subjected to velocity gradients, ranging from the pore scale to the catchment scale due to permeability variations and flow line geometries. A…

Fluid Dynamics · Physics 2016-04-28 Aditya Bandopadhyay , Tanguy Le Borgne , Yves Méheust , Marco Dentz

The efficiency of an encounter-controlled two-channel reaction between two independently-mobile reactants on a lattice is characterized by the mean number $\rt$ of steps to reaction. The two reactants are distinguished by their mass with…

Statistical Mechanics · Physics 2009-11-11 E. Abad , J. J. Kozak

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

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Michael Murat , Yacov Kantor

Half-cycle laser pulse is applied on an absorbed molecule to investigate its alignment and orientation behavior. Crossover from field-free to hindered rotation motion is observed by varying the angel of hindrance of potential well. At small…

Atomic Physics · Physics 2007-05-23 Y. Y. Liao , Y. N. Chen , D. S. Chuu

Whereas atom-molecule collisions have been studied with complete quantum state resolution, interactions between two state-selected molecules have proven much harder to probe. Here, we report the measurement of state-resolved inelastic…

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

The orientational correlation scheme introduced earlier for tetrahedral molecules is extended for being able to classify orientational correlations between pairs of high symmetry molecules. While in the original algorithm a given…

Chemical Physics · Physics 2021-08-13 László Temleitner

We study quantitatively angular correlations in the two-particle spectrum produced by an energetic probe scattering off a dense hadronic target with sizeable saturation momentum. To this end, two parton inclusive cross sections for…

High Energy Physics - Phenomenology · Physics 2009-11-11 Rudolf Baier , Alex Kovner , Marzia Nardi , Urs Achim Wiedemann

In this letter, we derive the impulse response of the channel with a spherical absorbing receiver, a spherical reflecting boundary, and a point transmitter in molecular communication domain. By exploring the channel characteristics and…

Emerging Technologies · Computer Science 2019-12-11 Fatih Dinc , Bayram Cevdet Akdeniz , Ali Emre Pusane , Tuna Tugcu

We consider optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining quasi-mode expansion technique with coupled mode theory (CMT) we put forward a theory of the optical response by…

Optics · Physics 2018-10-17 Evgeny N Bulgakov , Dmitrii N Maksimov

A prediction of the steady-state reconnection electric field in asymmetric reconnection is obtained by maximizing the reconnection rate as a function of the opening angle made by the upstream magnetic field on the weak magnetic field…

Plasma Physics · Physics 2018-06-13 Yi-Hsin Liu , M. Hesse , P. A. Cassak , M. A. Shay , S. Wang , L. -J. Chen

We study a diffusion approximation for a model of stochastic motion of a particle in one spatial dimension. The velocity of the particle is constant but the direction of the motion undergoes random changes with a Poisson clock. Moreover,…

Functional Analysis · Mathematics 2022-04-21 Adam Bobrowski , Tomasz Komorowski

We design and analyze an approximation method for advection-diffusion-reaction equations where the (generalized) degrees of freedom are polynomials of order $k\ge0$ at mesh faces. The method hinges on local discrete reconstruction operators…

Numerical Analysis · Mathematics 2018-05-29 Daniele A. Di Pietro , Jérôme Droniou , Alexandre Ern
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