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Related papers: Reaction rate theory with account of the crystal a…

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Novel mechanisms of defect annealing in solids are discussed, which are based on the large amplitude anharmonic lattice vibrations, a.k.a. intrinsic localized modes or discrete breathers (DBs). A model for amplification of defect annealing…

Materials Science · Physics 2017-11-22 V. I. Dubinko , J. F. R. Archilla , V. Hizhnyakov , S. V. Dmitriev

As contrast to the Maxwellian distribution, equilibrium distribution of the second kind or turbulent equilibrium is shown to exist under tertiary molecular chaos hypothesis to replace the classical binary chaos by Boltzmann. It is expressed…

Chaotic Dynamics · Physics 2007-05-23 Shunichi Tsuge

The rates of chemical reactions are not absolute but their magnitude depends upon the relative speeds of the moving observers. This has been proved by unifying theories of chemical kinetics, which are transition state theory, collision…

General Physics · Physics 2017-06-13 Mirza Wasif Baig

A new mechanism of LENR in solids is proposed, which is based on the large amplitude anharmonic lattice vibrations, a.k.a. intrinsic localized modes or discrete breathers (DBs). In particular, so called gap DBs, which can arise in diatomic…

Materials Science · Physics 2014-07-24 Vladimir Dubinko

A nonlinear chain with six-order polynomial on-site potential is used to analyze the evolution of the total to kinetic energy ratio during development of modulational instability of extended nonlinear vibrational modes. For the on-site…

In spatially distributed cellular systems, it is often convenient to represent complicated auxiliary pathways and spatial transport by time-delayed reaction rates. Furthermore, many of the reactants appear in low numbers necessitating a…

Quantitative Methods · Quantitative Biology 2015-05-14 Matthew Scott

The long-time behavior of a reaction-diffusion front between one static (e.g. porous solid) reactant A and one initially separated diffusing reactant B is analyzed for the mean-field reaction-rate density R(\rho_A,\rho_B) =…

Chemical Physics · Physics 2009-10-31 Martin Z. Bazant , Howard A. Stone

We investigate the influence of a stochastically fluctuating step-barrier potential on bimolecular reaction rates by exact analytical theory and stochastic simulations. We demonstrate that the system exhibits a new resonant reaction…

Chemical Physics · Physics 2016-03-23 Jakob J. Kolb , Stefano Angioletti-Uberti , Joachim Dzubiella

Metallic nanoparticles embedded in stimuli-responsive polymers can be regarded as nanoreactors since their catalytic activity can be changed within wide limits: the physicochemical properties of the polymer network can be tuned and switched…

Chemical Physics · Physics 2015-07-22 Stefano Angioletti-Uberti , Yan Lu , Matthias Ballauff , Joachim Dzubiella

A prototype statistical model for the etching of a random solid is investigated in order to assess the influence of disorder and temperature on the dissolution kinetics. At low temperature, the kinetics is dominated by percolation…

Condensed Matter · Physics 2009-11-07 K. M. Kolwankar , M. Plapp , B. Sapoval

The application of an external, oriented electric field has emerged as an attractive technique for manipulating chemical reactions. Because most applications occur in solution, a theory of electric field catalysis requires treatment of the…

Chemical Physics · Physics 2024-04-03 Sohang Kundu , Timothy C. Berkelbach

A two-body gas-phase reaction rate coefficient can be given by the usual Arrhenius-type formula which depends on temperature. The UMIST Database for Astrochemistry is a widely used database for reaction rate coefficients. They provide…

Astrophysics of Galaxies · Physics 2023-08-08 Gargi Shaw , Gary Ferland , M. Chatzikos

Different rate theories yielded similar forms of rates constants consistent with the phenomenological Arrhenius law, although they were derived from various branches of physics including classical thermodynamics, statistical and quantum…

Chemical Physics · Physics 2020-12-02 Denis Michel

We solve the quasiclassical problem of tunneling through an external potential barrier in a dense plasma, where the tunneling particles undergo simultaneous collisions with other particles in thermodynamic equilibrium. Under such conditions…

Astrophysics · Physics 2007-05-23 V. I. Savchenko

With the chemical reaction rate database UMIST95 (Millar et al. 1997) we analyze how uncertainties in rate constants of gas-phase chemical reactions influence the modelling of molecular abundances in the interstellar medium. Random…

Astrophysics · Physics 2009-11-10 A. I. Vasyunin , A. M. Sobolev , D. S. Wiebe , D. A. Semenov

When the entities undergoing a chemical reaction are not available simultaneously, the classical rate equation of a reaction or, alternatively for the evolution of a population, should be extended by including non-Markovian memory effects.…

Statistical Mechanics · Physics 2009-11-10 Steffen Trimper , Knud Zabrocki

On the basis of the assumption that atoms play a role of effective Fermions at lattice distribution, the study of the long-range ordering is shown to be reduced to self-consistent consideration of single and collective excitations being…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

At sufficiently low temperatures, the reaction rates in solids are controlled by quantum rather than by thermal fluctuations. We solve the Schr\"odinger equation for a Gaussian wave packet in a nonstation-ary harmonic oscillator and derive…

We argue that the Maxwellian approximation can essentially underestimate the rates of some nuclear reactions in hot plasma under conditions very close to thermal equilibrium. This phenomenon is demonstrated explicitly on the example of…

Plasma Physics · Physics 2009-11-13 Makoto Nakamura , Victor T. Voronchev , Yasuyuki Nakao

Vacancies are prevalent point defects in crystals, but their thermal responses are elusive. Herein, we formulate a simple theoretical model to shed light on the vacancy evolution during heating. Vibrational excitations are thoroughly…

Materials Science · Physics 2022-02-07 Tran Dinh Cuong , Anh D. Phan
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