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The solutions for a Riemann problem arising in chemical flooding models are studied using vanishing viscosity as an admissibility criterion. We show that when the flow function depends non-monotonically on the concentration of chemicals,…

偏微分方程分析 · 数学 2023-08-23 F. Bakharev , A. Enin , Yu. Petrova , N. Rastegaev

We propose a mechanism to produce fluctuations in the viscosity parameter ($\alpha$) in differetially rotating discs. We carried out a nonlinear analysis of a general accretion flow, where any perturbation on the background $\alpha$ was…

高能天体物理现象 · 物理学 2015-06-17 S. R. Rajesh , Nishant K. Singh

In the nonconvex case solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate independence should be considered as limit of systems with smaller and smaller…

偏微分方程分析 · 数学 2018-01-17 Alexander Mielke , Riccarda Rossi , Giuseppe Savare'

We investigate, using a recently developed model of liquid state theory describing the rheology of dense granular flows, how a yield stress appears in granular matter at the yielding transition. Our model allows us to predict an analytical…

软凝聚态物质 · 物理学 2021-12-20 O. Coquand , M. Sperl

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…

化学物理 · 物理学 2025-06-02 Seokjin Moon , David T. Limmer

In framework of statistical models, different particle ratios at energies ranging from $3.5 $ to $200 $GeV are calculated. Assuming that the particle production takes place along the freeze-out curve, we study the sharp peak in $K^+/\pi^+$…

高能物理 - 唯象学 · 物理学 2010-01-05 A. Tawfik

We develop a reduced model for the slow unsteady dynamics of an isotropic chemically active particle near the threshold for spontaneous motion. Building on the steady theory developed in part I of this series, we match a weakly nonlinear…

软凝聚态物质 · 物理学 2023-02-24 Gunnar G. Peng , Ory Schnitzer

We consider a $\varphi$ Josephson junction, which has a bistable zero-voltage state with the stationary phases $\psi=\pm\varphi$. In the non-zero voltage state the phase "moves" viscously along a tilted periodic double-well potential. When…

超导电性 · 物理学 2013-08-02 E. Goldobin , R. Kleiner , D. Koelle , R. G. Mints

We introduce a rigorous method to microscopically compute the observables which characterize the thermodynamics and kinetics of rare macromolecular transitions for which it is possible to identify a priori a slow reaction coordinate. In…

生物大分子 · 定量生物学 2015-06-05 P. Faccioli , F. Pederiva

The boundary integral method is extended to derive closed integro-differential equations applicable to computation of the shape and propagation speed of a steadily moving spot and to the analysis of dynamic instabilities in the sharp…

斑图形成与孤子 · 物理学 2016-09-07 L. M. Pismen

Negative differential mobility is the phenomenon in which the velocity of a particle decreases when the force driving it increases. We study this phenomenon in Markov jump models where a particle moves in the presence of walls that act as…

统计力学 · 物理学 2020-10-07 Gianluca Teza , Stefano Iubini , Marco Baiesi , Attilio L. Stella , Carlo Vanderzande

A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interfaces as well as volume diffusion. Simulations reveal that…

材料科学 · 物理学 2008-09-04 Lynda Amirouche , Mathis Plapp

A non-vanishing entropy production rate is a hallmark of non-equilibrium stationary states and is therefore at the heart of non-equilibrium thermodynamics. It is a manifestation of a steady circulation $J_{\rm inv}$ along the level sets of…

数学物理 · 物理学 2023-07-14 Hao De , Aljaž Godec

We study the effect of changes in the parameters of a two-dimensional potential energy surface on the phase space structures relevant for chemical reaction dynamics. The changes in the potential energy are representative of chemical…

动力系统 · 数学 2021-07-28 Wenyang Lyu , Shibabrat Naik , Stephen Wiggins

Chemical selectivity is a phenomenon displayed by potential energy surfaces (PES) that is relevant for many organic chemical reactions whose PES feature a valley-ridge inflection point (VRI) in the region between two sequential index-1…

化学物理 · 物理学 2020-07-15 M. Agaoglou , V. J. Garcıa-Garrido , M. Katsanikas , S. Wiggins

The accuracy of rate constants calculated using transition state theory depends crucially on the correct identification of a recrossing--free dividing surface. We show here that it is possible to define such optimal dividing surface in…

混沌动力学 · 物理学 2016-06-29 F. Revuelta , Thomas Bartsch , P. L. Garcia-Muller , Rigoberto Hernandez , R. M. Benito , F. Borondo

Plasmas in which there is a threshold for a dominant reaction to take place (such as recombination or attachment) will have particle distributions that evolve as the reaction progresses. The form of the Boltzmann collision term in such a…

等离子体物理 · 物理学 2008-10-13 D A Diver , L F A Teodoro , C S MacLachlan , H E Potts

Random matrix theory has become a widely useful tool in high-dimensional statistics and theoretical machine learning. However, random matrix theory is largely focused on the proportional asymptotics in which the number of columns grows…

统计理论 · 数学 2025-06-23 Chen Cheng , Andrea Montanari

We consider the existence of invariant manifolds in phase space governing reaction dynamics in situations where there are no saddle points on the potential energy surface in the relevant regions of configuration space. We point out that…

化学物理 · 物理学 2010-11-04 Gregory S. Ezra , Stephen Wiggins

We simulate the nonequilibrium steady state \textit{cis-trans} photoisomerization of retinal chromophore in rhodopsin based on a two-state-two-mode model coupled to a thermal environment. By analyzing the systematic trends within an…

化学物理 · 物理学 2022-04-25 Chern Chuang , Paul Brumer