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We have studied gas-grain chemical models of interstellar clouds to search for nonlinear dynamical evolution. A prescription is given for producing oscillatory solutions when a bistable solution exists in the gas-phase chemistry and we…

Astrophysics of Galaxies · Physics 2023-05-01 Gwenaëlle Dufour , Steven B. Charnley , Johan E. Lindberg

An accurate treatment of the multiphase interstellar medium (ISM) in hydrodynamic galaxy simulations requires that we follow not only the thermal evolution of the gas, but also the evolution of its chemical state, including its molecular…

Astrophysics of Galaxies · Physics 2015-06-18 Alexander J. Richings , Joop Schaye , Benjamin D. Oppenheimer

The dynamics of one species chemical kinetics is studied. Chemical reactions are modelled by means of continuous time Markov processes whose probability distribution obeys a suitable master equation. A large deviation theory is formally…

Statistical Mechanics · Physics 2015-03-14 Carlos Escudero , Andres M. Rivera , Pedro J. Torres

Chemical oscillation is an interesting nonlinear dynamical phenomenon which arises due to complex stability condition of the steady state of a reaction far away from equilibrium which is usually characterised by a periodic attractor or a…

Dynamical Systems · Mathematics 2018-11-13 Sandip Saha , Gautam Gangopadhyay

In an effort to further our interest in understanding basic chemistry of interstellar molecules, we carry out here an extensive investigation of the stabilities of interstellar carbon chains; Cn, H2Cn, HCnN and CnX (X=N, O, Si, S, H, P, H-,…

Solar and Stellar Astrophysics · Physics 2016-12-07 Emmanuel E. Etim , Prasanta Gorai , Ankan Das , Sandip K. Chakrabarti , Elangannan Arunan

We present an analysis of "bistability" in gas-phase chemical models of dark interstellar clouds. We identify the chemical mechanisms that allow high- and low-ionization solutions to the chemical rate-equations to coexist. We derive simple…

Astrophysics · Physics 2009-11-11 Gai I. Boger , Amiel Sternberg

Starless molecular cores are natural laboratories for interstellar molecular chemistry research. The chemistry of ices in such objects was investigated with a three-phase (gas, surface, and mantle) model. We considered the center part of…

Astrophysics of Galaxies · Physics 2015-04-24 Juris Kalvans

We demonstrate the occurrence of oscillatory reactions in the ultra-cold chemistry of atom-molecular Bose-Einstein condensate. Nonlinear oscillations in the mean-field dynamics occur for a specific range of elliptic modulus, giving rise to…

Pattern Formation and Solitons · Physics 2018-06-05 Subhrajit Modak , Priyam Das , Challenger Mishra , Prasanta K. Panigrahi

Dense particle suspension under shear may lose its uniform state to large local density and stress fluctuations, which challenge the mean-field description of the system. Here, we explore the novel dynamics of a non-Brownian suspension…

Soft Condensed Matter · Physics 2024-04-15 Li-Xin Shi , Meng-Fei Hu , Song-Chuan Zhao

Stellar and nebular abundance indicators reveal that there exists significant abundance fluctuations in the interstellar medium (ISM) of gas-rich galaxies. It is shown that at the present observed solar level of O/H $\sim 6 \times 10^{-4}$,…

Astrophysics · Physics 2007-05-23 Jean-Rene ROY , Daniel KUNTH

Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools,…

Adaptation and Self-Organizing Systems · Physics 2021-03-09 David García-Selfa , Gourab Ghoshal , Christian Bick , Juan Pérez-Mercader , Alberto P. Muñuzuri

This paper describes some interesting properties of waves in, and oscillations of, the interstellar medium in the direction normal to the plane of the Galaxy. Our purpose is to examine possible reasons for four observed phenomena: the…

Astrophysics · Physics 2009-10-31 Michael A. Walters , Donald P. cox

The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations. Such systems of equations arise, for example, from modeling of…

Analysis of PDEs · Mathematics 2016-07-15 Anna Marciniak-Czochra , Grzegorz Karch , Kanako Suzuki

We present analytical solutions to the nonlinear equations describing the behavior of a gas of neutrinos with two flavors. Self-maintained coherent flavor oscillations are shown to occur when the gas density exceeds a critical value…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Stuart Samuel

Statistical models provide a powerful and useful class of approximations for calculating reaction rates by bypassing the need for detailed, and often difficult, dynamical considerations. Such approaches invariably invoke specific…

Chemical Physics · Physics 2020-04-01 Sourav Karmakar , Pankaj Kumar Yadav , Srihari Keshavamurthy

Aim: To determine whether or not gas-phase chemical models with homogeneous and time-independent physical conditions explain the many observed molecular abundances in astrophysical sources, it is crucial to estimate the uncertainties in the…

Astrophysics · Physics 2016-08-15 Valentine Wakelam , Eric Herbst , Franck Selsis , Gérard Massacrier

A study was made of the instability that arises when acoustic and gravity waves propagate in an inhomogeneous medium which is characterized by oscillatory approach of the reaction coordinates to the steady state. It is shown that loss of…

Chemical Physics · Physics 2020-11-12 N. N. Myagkov

Biochemical oscillations are ubiquitous in nature and allow organisms to properly time their biological functions. In this paper, we consider minimal Markov state models of nonequilibrium biochemical networks that support oscillations. We…

Statistical Mechanics · Physics 2020-02-04 Clara del Junco , Suriyanarayanan Vaikuntanathan

We show the existence of internal stochastic resonance in a microscopic stochastic model for the oscillating CO oxidation on single crystal surfaces. This stochastic resonance arises directly from the elementary reaction steps of the system…

Condensed Matter · Physics 2007-05-23 O. Kortlüke , V. N. Kuzovkov , W. von Niessen

We discuss models that astrochemists have developed to study the chemical composition of the interstellar medium. These models aim at computing the evolution of the chemical composition of a mixture of gas and dust under as- trophysical…

Astrophysics of Galaxies · Physics 2013-10-01 Valentine Wakelam , Herma M. Cuppen , Eric Herbst
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