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Minimum energy path (MEP) search is a vital but often very time-consuming method to predict the transition states of versatile dynamic processes in chemistry, physics, and materials science. In this study, we reveal that the chemical bond…

材料科学 · 物理学 2023-07-18 Hongsheng Cai , Guoyuan Liu , Peiqi Qiu , Guangfu Luo

We formulate a kinetic theory of self-interacting meson fields with an aim to describe the freezeout stage of the space-time evolution of matter in ultrarelativistic nuclear collisions. Kinetic equations are obtained from the Heisenberg…

核理论 · 物理学 2008-11-26 T. Matsui , M. Matsuo

We obtain an approximate solution $\tilde{E}=\tilde{E}(e,M)$ of Kepler's equation $E-e\sin(E)=M$ for any $e\in[0,1)$ and $M\in[0,\pi]$. Our solution is guaranteed, via Smale's $\alpha$-theory, to converge to the actual solution $E$ through…

数学物理 · 物理学 2014-05-26 Martin Avendano , Verónica Martín-Molina , Jorge Ortigas-Galindo

We explore the relation between the quantum and semiclassical instanton approximations for the reaction rate constant. From the quantum instanton expression, we analyze the contributions to the rate constant in terms of minimum-action paths…

The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers. The CME is a system of ordinary differential equations…

定量方法 · 定量生物学 2017-10-25 Ankit Gupta , Jan Mikelson , Mustafa Khammash

In this paper, we provide a detailed theoretical analysis of the numerical scheme introduced in J. Comput. Phys. 436 (2021) 110253 for the reaction kinetics of a class of chemical reaction networks that satisfies detailed balance condition.…

数值分析 · 数学 2024-02-07 Chun Liu , Cheng Wang , Yiwei Wang

The model of chemical reaction networks is among the oldest and most widely studied and used in natural science. The model describes reactions among abstract chemical species, for instance $A + B \to C$, which indicates that if a molecule…

数据结构与算法 · 计算机科学 2026-02-16 Joshua Petrack , David Doty

Quasisymmetry (QS) provides a novel route to understand and control near-degeneracies, Berry curvature, optical selection rules, and symmetry-protected phenomena in quantum materials. Here we give physical interpretations of the emergence…

材料科学 · 物理学 2026-02-23 Bryan D. Assunção , Emmanuel V. C. Lopes , Tome M. Schmidt , Gerson J. Ferreira

A non-equilibrium steady state is characterized by a non-zero steady dissipation rate. Chemical reaction systems under suitable conditions may generate such states. We propose here a method that is able to distinguish states with identical…

化学物理 · 物理学 2019-11-14 Kinshuk Banerjee , Kamal Bhattacharyya

The ability of quantum computers to overcome the exponential memory scaling of many-body problems is expected to transform quantum chemistry. Quantum algorithms require accurate representations of electronic states on a quantum device, but…

化学物理 · 物理学 2024-04-26 Hugh G. A. Burton

Molecular agitation more rapid than thermal Brownian motion is reported for cellular environments, motor proteins, synthetic molecular motors, enzymes, and common chemical reactions, yet that chemical activity couples to molecular motion…

软凝聚态物质 · 物理学 2022-06-08 Ah-Young Jee , Tsvi Tlusty , Steve Granick

Classical descriptions of enzyme kinetics ignore the physical nature of the intracellular environment. Main implicit assumptions behind such approaches are that reactions occur in compartment volumes which are large enough so that molecular…

亚细胞过程 · 定量生物学 2009-10-26 Ramon Grima

In the past one hundred years, deterministic rate equations have been successfully used to infer enzyme-catalysed reaction mechanisms and to estimate rate constants from reaction kinetics experiments conducted in vitro. In recent years,…

亚细胞过程 · 定量生物学 2013-12-02 Ramon Grima , Nils Walter , Santiago Schnell

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections.…

软凝聚态物质 · 物理学 2015-08-12 David D. McCowan

In the first part of this paper we give a short review of the hierarchy of stochastic models, related to physical chemistry. In the basement of this hierarchy there are two models --- stochastic chemical kinetics and the Kac model for…

数学物理 · 物理学 2011-12-26 V. A. Malyshev

Accurate frequency estimation is critical for the control, monitoring and protection of electrical power systems, in particular, of systems with a high penetration of power electronics. This paper introduces the novel concept of Quasi…

系统与控制 · 电气工程与系统科学 2025-09-23 Joan Gutierrez-Florensa , Alvaro Ortega , Lukas Sigrist , Federico Milano

Semi- and quasi-classical (SC) theories can handle arbitrary interatomic interactions and are thus well-suited to predict quantum dynamics in condensed phases that encode energy and charge transport, spectroscopic responses, and chemical…

化学物理 · 物理学 2026-03-06 Matthew R. Laskowski , Srijan Bhattacharyya , Andrés Montoya-Castillo

While the well-established $GW$ approximation corresponds to a resummation of the direct ring diagrams and is particularly well suited for weakly-correlated systems, the $T$-matrix approximation does sum ladder diagrams up to infinity and…

化学物理 · 物理学 2022-04-28 Pierre-François Loos , Pina Romaniello

Chemical reaction networks in living cells maintain precise control over thousands of metabolites despite operating far from equilibrium under constant perturbations. While mass action kinetics accurately describe the underlying dynamics,…

最优化与控制 · 数学 2025-08-27 Steven Diamond

This study address the computational determination of catalytic reaction rates by moving beyond traditional Transition State Theory (TST), addressing its limitations in complex systems. The Hill relation framework, integrated with Adaptive…

化学物理 · 物理学 2025-11-25 Thomas Pigeon , Manuel Corral Valero , Pascal Raybaud