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We consider the homogenisation of the instationary Stokes equations in a porous medium with an a-priori given evolving microstructure. In order to pass to the homogenisation limit, we transform the Stokes equations to a domain with a fixed…

偏微分方程分析 · 数学 2024-03-14 David Wiedemann , Malte A. Peter

We study diffusion-reaction processes on periodic square planar lattices and simple cubic (sc) lattices. Considered first is a single diffusing reactant undergoing an irreversible reaction upon first encounter with a stationary co-reactant…

统计力学 · 物理学 2018-08-22 E. Abad , T. Abil , A. Santos , J. J. Kozak

In this thesis, we use classical, semi-classical and quantum-mechanical methods to simulate chemical reaction dynamics inside of an optical cavity. Within such a cavity, by selectively coupling vibrational modes of the reactants to the…

化学物理 · 物理学 2024-02-08 Andrew C. Hunt

The effect of the absorption of hard X-ray photons on the solid-state dynamics, at energies below the defect creation threshold, is considered. First, it is shown that due to the sensitivity to parameter choices, the present state of the…

材料科学 · 物理学 2015-10-08 Michael Leitner , Markus Stana , Manuel Ross , Bogdan Sepiol

Variational perturbation theory is used to determine the decay rates of metastable states across a cubic barrier of arbitrary height. For high barriers, a variational resummation procedure is applied to the complex energy eigenvalues…

量子物理 · 物理学 2016-08-15 H. Kleinert , I. Mustapic

We address the question: Why may reaction-diffusion equations with hysteretic nonlinearities become ill-posed and how to amend this? To do so, we discretize the spatial variable and obtain a lattice dynamical system with a hysteretic…

偏微分方程分析 · 数学 2017-11-28 Pavel Gurevich , Sergey Tikhomirov

The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many…

太阳与恒星天体物理 · 物理学 2016-11-09 Christian Iliadis , Kevin Anderson , Alain Coc , Frank Timmes , Sumner Starrfield

We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase transitions. We provide conditions on the microscopic…

统计力学 · 物理学 2025-01-24 Niccolò Zagli , Valerio Lucarini , Grigorios Pavliotis

Nuclear reaction rates determine the abundances of isotopes in stellar burning processes. A multitude of reactions determine the reaction flow pattern which is described in terms of reaction network simulations. The reaction rates are…

天体物理仪器与方法 · 物理学 2010-11-03 M. Wiescher , T. Rauscher

Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong…

统计力学 · 物理学 2018-03-13 L. Turban , J. -Y. Fortin

Classical theories of chemical kinetics assume independent reactions in dilute solutions, whose rates are determined by mean concentrations. In condensed matter, strong interactions alter chemical activities and create inhomogeneities that…

材料科学 · 物理学 2013-04-17 Martin Z. Bazant

The classical mass action law in chemical kinetics is put into the context of multiscale thermodynamics.Despite the purely dissipative character of the classical mass action law, inertial effects also play a role in chemical kinetics.…

化学物理 · 物理学 2021-08-31 Abdellah Ajji , Jamal Chaouki , Miroslav Grmela , Vaclav Klika , Michal Pavelka

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

统计力学 · 物理学 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

Transition path theory provides a statistical description of the dynamics of a reaction in terms of local spatial quantities. In its original formulation, it is limited to reactions that consist of trajectories flowing from a reactant set A…

数据分析、统计与概率 · 物理学 2022-09-21 Chatipat Lorpaiboon , Jonathan Weare , Aaron R. Dinner

Colloidal bodies of irregular shape rotate as they descend under gravity in solution. This rotational response provides a means of bringing a dispersion of identical bodies into a synchronized rotation with the same orientation using…

软凝聚态物质 · 物理学 2016-09-14 Jonah A. Eaton , Brian Moths , Thomas A. Witten

The degree of randomness, or partial order, present in two-dimensional supramolecular arrays of isophthalate tetracarboxylic acids is shown to vary due to subtle chemical changes such as the choice of solvent or small differences in…

In this work, the calculation of complexity on atomic systems is considered. In order to unveil the increasing of this statistical magnitude with the atomic number due to the relativistic effects, recently reported in [A. Borgoo, F. De…

混沌动力学 · 物理学 2008-06-12 Jaime Sanudo , Ricardo Lopez-Ruiz

Magnetic systems can exhibit thermally activated transitions whose timescales are often described by an Arrhenius law. However, robust predictions of such timescales are only available for certain cases. Inspired by the harmonic theory of…

介观与纳米尺度物理 · 物理学 2025-04-02 Hugo Bocquet , Peter M. Derlet

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

原子物理 · 物理学 2012-02-06 T. V. Tscherbul , R. V. Krems

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

无序系统与神经网络 · 物理学 2009-10-31 Xiaoyu Xia , Peter G. Wolynes