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Excited state proton transfer is an ubiquitous phenomenon in biology and chemistry, spanning from the ultrafast reactions of photo-bases and acids to light-driven, enzymatic catalysis and photosynthesis. However, the simulation of such…

Chemical Physics · Physics 2024-10-18 Brieuc Le Dé , Simon Huppert , Riccardo Spezia , Alex W. Chin

The global existence and boundedness of solutions to quasi-linear reaction-diffusion systems are investigated. The system arises from compartmental models describing the spread of infectious diseases proposed in [Viguerie et al, Appl. Math.…

Analysis of PDEs · Mathematics 2024-03-26 Juan Yang , Jeff Morgan , Bao Quoc Tang

Recently, there has been a growing interest in the usage of mm-scale composites of plasmonic nanoparticles for enhancing the rates of chemical reactions; the effect was shown recently to be predominantly associated with the elevated…

Applied Physics · Physics 2023-03-31 Ieng-Wai Un , Yonatan Sivan

A spherical optical model potential (OMP) containing a dispersive term is used to fit the available experimental database of angular distribution and total cross section data for n + Al27 covering the energy range 0.1- 250 MeV using…

Nuclear Theory · Physics 2009-11-07 A. Molina , R. Capote , J. M. Quesada , M. Lozano

Analytical and numerical solutions are obtained for the equation of radiative transfer in ultra-relativistic opaque jets. The solution describes the initial trapping of radiation, its adiabatic cooling, and the transition to transparency.…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Andrei M. Beloborodov

Spectroscopic factors (SF) play an important role in nuclear physics and astrophysics. The traditional method of extracting SF from direct transfer reactions suffers from serious ambiguities. We discuss a modified method which is based on…

Nuclear Theory · Physics 2008-11-26 A. M. Mukhamedzhanov , F. M. Nunes

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

The microscopic framework of time-dependent covariant density functional theory is applied to study multinucleon transfer reactions, with transfer probabilities calculated using the particle number projection method. It is found that…

Nuclear Theory · Physics 2024-02-23 D. D. Zhang , D. Vretenar , T. NikšIć , P. W. Zhao , J. Meng

Nucleon transfer in symmetric heavy-ion reactions at energies below the Coulomb barrier is investigated in the framework of a microscopic stochastic mean-field theory. While mean-field alone is known to significantly underpredict the…

Nuclear Theory · Physics 2015-05-13 Kouhei Washiyama , Sakir Ayik , Denis Lacroix

We present the first systematic nonlocal dispersive optical model analysis using both bound-state and scattering data of $^{16,18}$O, $^{40,48}$Ca, $^{58,64}$Ni, $^{112,124}$Sn, and $^{208}$Pb. In all systems, roughly half the total nuclear…

Nuclear Theory · Physics 2020-09-09 C. D. Pruitt , R. J. Charity , L. G. Sobotka , M. C. Atkinson , W. H. Dickhoff

Chemical reactions involving diffusion of reactants and subsequent chemical fixation steps are generally termed "diffusion-influenced" (DI). Virtually all biochemical processes in living media can be counted among them, together with those…

Chemical Physics · Physics 2016-06-29 Marta Galanti , Duccio Fanelli , Francesco Piazza

Diffusion models have recently exhibited remarkable abilities to synthesize striking image samples since the introduction of denoising diffusion probabilistic models (DDPMs). Their key idea is to disrupt images into noise through a fixed…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Zijian Zhang , Zhou Zhao , Jun Yu , Qi Tian

We review different models used for reactions involved in nuclear astrophysics. The reaction rate is defined for resonant as well as for non-resonant processes. For low-density nuclei, we describe the DWBA method, the potential model, the…

Astrophysics · Physics 2009-11-10 P. Descouvemont , T. Rauscher

In the recent experiment, the phenomena of superluminal and slow-light propagation in dispersive medium were found, and there are various explanation in theory. We find the phenomenon can be explained by multiple-photon interaction.…

Statistical Mechanics · Physics 2007-05-23 Xiangyao Wu , Pi-Feng Gong , Zhi-Yong Yi , Chang-Rui Wu , Xiao-Yan Gu , Zong-Hua Shi

The most general nonuniform reaction-diffusion models on a one-dimensional lattice with boundaries, for which the time evolution equations of corre- lation functions are closed, are considered. A transfer matrix method is used to find the…

Statistical Mechanics · Physics 2010-04-09 Amir Aghamohammadi , Mohammad Khorrami

We study the properties of diffusion controlled reactions with traps or reaction sites attached to polymer chains or to a star polymer. Using a field theoretical renormalization group approach we obtain the scaling of the moments of…

Soft Condensed Matter · Physics 2016-08-31 Christian von Ferber , Yurij Holovatch

To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A --> B. We derive the corresponding kinetic equations for local A and B concentrations. Their form…

Statistical Mechanics · Physics 2009-11-11 I. M. Sokolov , M. G. W. Schmidt , F. Sagues

We generalize the reaction-diffusion model A + B -> 0 in order to study the impact of an excess of A (or B) at the reaction front. We provide an exact solution of the model, which shows that linear response breaks down: the average…

Statistical Mechanics · Physics 2015-01-07 Iacopo Mastromatteo , Bence Toth , Jean-Philippe Bouchaud

We derive a diffusion equation for light scattering from ejecta produced by extreme shocks on metallic samples. This model is easier to handle than a more conventional model based on the Radiative Transfer Equation (RTE), and is a relevant…

Optics · Physics 2026-02-24 J. A. Don Jayamanne , J. -R. Burie , O. Durand , R. Pierrat , R. Carminati

We consider a reaction-diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction diffusion equations with unbounded time dependent coefficients and different…

Analysis of PDEs · Mathematics 2022-06-14 Mohamed Majdoub , Nasser-eddine Tatar