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We develop an effective numerical method of studying large-time properties of reversible reaction-diffusion systems of type A + B <-> C with initially separated reactants. Using it we find that there are three types of asymptotic reaction…

Statistical Mechanics · Physics 2009-11-10 Zbigniew Koza

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

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

The paper discusses the use of amplitude equations to describe the spatio-temporal dynamics of a chemical reaction-diffusion system based on an Oregonator model of the Belousov-Zhabotinsky reaction. Sufficiently close to a supercritical…

chao-dyn · Physics 2015-06-24 M. Ipsen , F. Hynne , P. G. Soerensen

We develop a theoretical method for solving the quantum mechanical reactive scattering problem in the presence of external fields based on a hyperspherical coordinate description of the reaction complex combined with the total angular…

Chemical Physics · Physics 2018-07-03 Timur V. Tscherbul , Roman V. Krems

Autocatalysis is thought to have played an important role in the earliest stages of the origin of life. An autocatalytic cycle (AC) is a set of reactions that results in stoichiometric increase in its constituent chemicals. When the…

Populations and Evolution · Quantitative Biology 2024-07-29 Alex M. Plum , Christopher P. Kempes , Zhen Peng , David A. Baum

First, we present a two-dimensional lattice gas model with anisotropic interactions which explains the experimentally observed transition from a dominant c(2x2) ordering of the CdTe(001) surface to a local (2x1) arrangement of the Cd atoms…

Materials Science · Physics 2009-11-07 M. Ahr , M. Biehl , T. Volkmann

We analyzed the stochastic behavior of systems controlled by autocatalytic reaction A+X -> X+X, X+X -> A+X, X -> B provided that the distribution of reacting particles in the system volume is uniform, i.e. the point model of reaction…

Statistical Mechanics · Physics 2016-08-31 L. Pal

We present a mean field model for coagulation ($A+A\to A$) and annihilation ($A+A\to 0$) reactions on lattices of traps with a distribution of depths reflected in a distribution of mean escape times. The escape time from each trap is…

Statistical Mechanics · Physics 2015-05-13 I. M. Sokolov , S. B. Yuste , J. J. Ruiz-Lorenzo , Katja Lindenberg

The dependence of macroscopic detonation properties of a two-dimensional diatomic (AB) molecular system on the fundamental properties of the molecule were investigated. This includes examining the detonation velocity, reaction zone…

We use quantum and classical adiabatic capture theories to study the chemical reaction Li + CaH -> LiH + Ca. Using a recently developed ab initio potential energy surface, which provides an accurate representation of long-range interactions…

Atomic Physics · Physics 2015-06-23 Timur V. Tscherbul , Alexei A. Buchachenko

We study the underpotential deposition of Cu on single-crystal Au(111) electrodes in sulfate-containing electrolytes by a combination of computational statistical-mechanics based lattice-gas modeling and experiments. The experimental…

Condensed Matter · Physics 2009-10-28 Jun Zhang , Yung-Eun Sung , P. A. Rikvold , A. Wieckowski

The stationary-state spatial structure of reacting scalar fields, chaotically advected by a two-dimensional large-scale flow, is examined for the case for which the reaction equations contain delay terms. Previous theoretical investigations…

Fluid Dynamics · Physics 2015-05-13 Alexandra Tzella , Peter H. Haynes

We study a two-species reaction-diffusion model where A+A->0, A+B->0 and B+B->0, with annihilation rates lambda0, delta0 > lambda0 and lambda0, respectively. The initial particle configuration is taken to be randomly mixed with mean…

Statistical Mechanics · Physics 2009-10-31 Zoran Konkoli , Henrik Johannesson

We consider an irreversible autocatalytic conversion reaction A+B -> 2A under subdiffusion described by continuous time random walks. The reactants' transformations take place independently on their motion and are described by constant…

Statistical Mechanics · Physics 2014-06-03 Daniela Froemberg , Hauke Schmidt-Martens , Igor M. Sokolov , Francesc Sagues

The reaction between D$^+$ and H$_2$ plays an important role in astrochemistry at low temperatures and also serves as a prototype for simple ion-molecule reaction. Its ground $\tilde{X}~^1A^{\prime}$ state has a very small thermodynamic…

Chemical Physics · Physics 2018-11-14 Somnath Bhowmick , Duncan Bossion , Yohann Scribano , Yury V. Suleimanov

Autocatalysis is a deceptively simple concept, referring to the situation that a chemical species $X$ catalyzes its own formation. From the perspective of chemical kinetics, autocatalysts show a regime of super-linear growth. Given a…

Molecular Networks · Quantitative Biology 2021-07-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

The balance function, which measures the correlation between opposite sign charge pairs, is sensitive to the mechanisms of charge formation and the subsequent relative diffusion of the balancing charges. The study of the balance function…

Nuclear Experiment · Physics 2019-08-13 Hui Wang

The low-energy properties of the SU(4) spin-orbital model on a two-leg ladder are studied by a variety of analytical and numerical techniques. Like in the case of SU(2) models, there is a singlet-multiplet gap in the spectrum, but the…

Strongly Correlated Electrons · Physics 2009-10-31 M. van den Bossche , P. Azaria , P. Lecheminant , F. Mila

Understanding the composition of final states in $B \to X_c l \nu$ could help to get a feedback on the persisting disagreement between exclusive and inclusive determinations of $V_{cb}$. In particular the series of orbital excitations…

High Energy Physics - Phenomenology · Physics 2014-11-14 Benoît Blossier