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A class of hyperbolic reaction--diffusion models with cross-diffusion is derived within the context of Extended Thermodynamics. Linear stability analysis is performed to study the nature of the equilibrium states against uniform and…

Pattern Formation and Solitons · Physics 2020-06-12 Carmela Currò , Giovanna Valenti

A first principles study of the dynamics of $^6$Li($^{2}$S) + $^6$Li$^{174}$Yb($^2\Sigma^+$)$ \to ^6$Li$_2(^1\Sigma^+$) + $^{174}$Yb($^1$S) reaction is presented at cold and ultracold temperatures. The computations involve determination and…

Currently, quantum scattering calculations cannot be used for quantitative predictions of molecular scattering observables at ultralow temperatures. This is a result of two problems: the extreme sensitivity of the scattering observables to…

Chemical Physics · Physics 2019-07-10 Masato Morita , Roman V. Krems , Timur V. Tscherbul

We investigate the behaviour of single-channel theoretical models of cold and ultracold collisions that take account of inelastic and reactive processes using a single parameter to represent short-range loss. We present plots of the…

Atomic Physics · Physics 2017-09-19 Matthew D. Frye , Paul S. Julienne , Jeremy M. Hutson

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical…

Nuclear Theory · Physics 2017-03-01 A. E. Lovell , F. M. Nunes , J. Sarich , S. M. Wild

In particle-based stochastic reaction-diffusion models, reaction rate and placement kernels are used to decide the probability per time a reaction can occur between reactant particles, and to decide where product particles should be placed.…

Quantitative Methods · Quantitative Biology 2022-06-08 Ying Zhang , Samuel A. Isaacson

The $\alpha$-optical potential is one of the key input parameters used to measure the reaction rate of the ($\gamma,\alpha$)-process using the Hauser-Feshbach(HF) statistical model and the principle of detailed balance. $\alpha$-elastic…

Far-from-equilibrium phenomena are critical to all natural and engineered systems, and essential to biological processes responsible for life. For over a century and a half, since Carnot, Clausius, Maxwell, Boltzmann, and Gibbs, among many…

Statistical Mechanics · Physics 2023-09-14 Travis Leadbetter , Prashant K. Purohit , Celia Reina

The application of the hyperspherical harmonic approach to the case of the N-d scattering problem below deuteron breakup threshold is described. The nuclear Hamiltonian includes two- and three-nucleon interactions, in particular the Argonne…

Nuclear Theory · Physics 2009-11-06 L. E. Marcucci , A. Kievsky , L. Girlanda , S. Rosati , M. Viviani

We present a global analysis of the inclusive quasielastic electron scattering data with a superscaling approach with relativistic effective mass. The SuSAM* model exploits the approximation of factorization of the scaling function…

Nuclear Theory · Physics 2023-07-28 J. E. Amaro , V. L. Martinez-Consentino , E. Ruiz Arriola , I. Ruiz Simo

We study diffusion-controlled processes in nonequilibrium steady states, where standard rate theory assumptions break down. Using transition path theory, we generalize the relations between reactive probability fluxes and measures of the…

Chemical Physics · Physics 2025-06-02 Seokjin Moon , David T. Limmer

We propose a minimal theoretical model for the description of a two-dimensional (2D) strongly interacting Fermi gas confined transversely in a tight harmonic potential, and present accurate predictions for its equation of state and…

Quantum Gases · Physics 2020-04-22 Fan Wu , Jianshen Hu , Lianyi He , Xia-Ji Liu , Hui Hu

For a theoretical understanding of the reactivity of complex chemical systems, relative energies of stationary points on potential energy hypersurfaces need to be calculated to high accuracy. Due to the large number of intermediates present…

Chemical Physics · Physics 2018-10-30 Gregor N. Simm , Markus Reiher

The prediction of stellar ($\gamma$,$\alpha$) reaction rates for heavy nuclei is based on the calculation of ($\alpha$,$\gamma$) cross sections at sub-Coulomb energies. These rates are essential for modeling the nucleosynthesis of so-called…

Nuclear Theory · Physics 2020-07-15 P. Mohr , Zs. Fülöp , Gy. Gyürky , G. G. Kiss , T. Szücs

The experimental characterization of scattering resonances in low energy collisions has proven to be a stringent test for quantum chemistry calculations. Previous measurements on the NO-H$_2$ system at energies down to $10$ cm$^{-1}$…

We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 Vlad Elgart , Alex Kamenev

Background $\alpha$-nucleus potentials play an essential role for the calculation of $\alpha$-induced reaction cross sections at low energies in the statistical model. Uncertainties of these calculations are related to ambiguities in the…

Nuclear Theory · Physics 2017-03-08 P. Mohr , Gy. Gyürky , Zs. Fülöp

Preparing low energy states is a central challenge in quantum computing and quantum complexity theory. Several known approaches to prepare low energy states often get stuck in suboptimal states, such as high energy eigenstates (or low…

Quantum Physics · Physics 2026-03-17 Anurag Anshu

Generalizing response theory of open systems far from equilibrium is a central quest of nonequilibrium statistical physics. Using stochastic thermodynamics, we develop an algebraic method to study the response of nonequilibrium steady state…

Statistical Mechanics · Physics 2023-08-09 Timur Aslyamov , Massimiliano Esposito

The Hyperspherical Harmonics (HH) method is one of the most accurate techniques to solve the quantum mechanical problem for nuclear systems with $A\le 4$. In particular, by applying the Rayleigh-Ritz or Kohn variational principle, both…

Nuclear Theory · Physics 2019-12-23 L. E. Marcucci , J. Dohet-Eraly , L. Girlanda , A. Gnech , A. Kievsky , M. Viviani