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An accurate treatment of the structures and dynamics that lead to enhanced chemical reactivity in enzymes requires explicit treatment of both electronic and nuclear quantum effects. The former can be captured in ab initio molecular dynamics…

Chemical Physics · Physics 2022-08-26 Lu Wang , Christine M. Isborn , Thomas E. Markland

A tutorial introduction to the technique of Molecular Dynamics (MD) is given, and some characteristic examples of applications are described. The purpose and scope of these simulations and the relation to other simulation methods is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Kurt Binder , Jurgen Horbach , Walter Kob , Wolfgang Paul , Fathollah Varnik

The molecular energies of chemical systems have been successfully calculated on quantum computers, however, more attention has been paid to the dynamic process of chemical reactions in practical application, especially in catalyst design,…

Quantum Physics · Physics 2023-03-28 Qiankun Gong , Qingmin Man , Ye Li , Menghan Dou , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

Strongly Correlated Electrons · Physics 2007-05-23 U. Schollwoeck , S. R. White

The reaction rate probability integral is extended from Maxwell-Boltzmann approach to a more general approach by using the pathway model introduced by Mathai [Mathai A.M.:2005, A pathway to matrix-variate gamma and normal densities, Linear…

Plasma Physics · Physics 2015-05-20 H. J. Haubold , D. Kumar

The multi-grid reaction-diffusion master equation (mgRDME) provides a generalization of stochastic compartment-based reaction-diffusion modelling described by the standard reaction-diffusion master equation (RDME). By enabling different…

Quantitative Methods · Quantitative Biology 2024-05-06 Radek Erban , Stefanie Winkelmann

A novel approach to simulate simple protein-ligand systems at large time- and length-scales is to couple Markov state models (MSMs) of molecular kinetics with particle-based reaction-diffusion (RD) simulations, MSM/RD. Currently, MSM/RD…

Chemical Physics · Physics 2021-12-10 Mauricio J. del Razo , Manuel Dibak , Christof Schütte , Frank Noé

Theoretical studies on chemical reaction mechanisms have been crucial in organic chemistry. Traditionally, calculating the manually constructed molecular conformations of transition states for chemical reactions using quantum chemical…

Chemical Physics · Physics 2024-04-12 Sihao Yuan , Xu Han , Jun Zhang , Zhaoxin Xie , Cheng Fan , Yunlong Xiao , Yi Qin Gao , Yi Isaac Yang

The problem of determining the effects of the surrounding plasma on nuclear reaction rates in stars is formulated ab initio, using the techniques of quantum statistical mechanics. We derive a result that expresses the complete effects of…

Astrophysics · Physics 2008-11-26 Lowell S. Brown , R. F. Sawyer

We analyse the role of the quark backreaction on the gauge-field dynamics and its impact on the Polyakov-loop potential. Based on our analysis we construct an improved Polyakov-loop potential that can be used in future model studies. In the…

High Energy Physics - Phenomenology · Physics 2013-03-18 Rainer Stiele , Lisa M. Haas , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich

Quantum Chromodynamics is an established part of the Standard Model and an essential part of the toolkit for searching for new physics at high-energy colliders. I present a status report on the theory of QCD and review some of the important…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. J. Stirling

This work describes the formalism for estimating thermonuclear reaction rates for astrophysical applications, emphasizing modern statistical approaches such as Monte-Carlo sampling and Bayesian models. We discuss related topics including…

Solar and Stellar Astrophysics · Physics 2026-03-11 Christian Iliadis , Richard Longland , Kiana Setoodehnia , Caleb Marshall , Peter Mohr , Athanasios Psaltis

The Journal of Chemical Physics (JCP) article collection on Markov Models of Molecular Kinetics (MMMK) features recent advances developing and using Markov State Models (MSMs) in atomistic molecular simulations and related applications.…

Chemical Physics · Physics 2020-01-08 Frank Noé , Edina Rosta

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

Chemical Physics · Physics 2016-10-11 Xiao Jin , Hao Ge

Path integral molecular dynamics (PIMD), which maps a quantum particle onto a fictitious classical system of ring polymers and propagates the "beads" of this extended classical system using molecular dynamics, is widely used to capture…

Dynamics of a discrete polymer in time-dependent external potentials is studied with the master equation approach. We consider both stochastic and deterministic switching mechanisms for the potential states and give the essential equations…

Statistical Mechanics · Physics 2008-06-25 Janne Kauttonen , Juha Merikoski , Otto Pulkkinen

In order to investigate relativistic effects we compare the transverse flow calculated by using the four versions of the QMD approaches with that of the full covariant RQMD approach. From the comparison we conclude that the simplified RQMD…

The Ultra-relativistic Quantum-Molecular-Dynamics model (UrQMD) is used to study central Pb+Pb reactions at RHIC ($\sqrt{s}=200$ AGeV). The computed collision spectrum reveals that the major part (approx. 80%) of the dynamics is governed by…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Bleicher , S. A Bass , H. Stöcker , W. Greiner

Glass transition temperature ($T_{\text{g}}$) plays an important role in controlling the mechanical and thermal properties of a polymer. Polyimides are an important category of polymers with wide applications because of their superior heat…

Computational Physics · Physics 2020-06-16 Chengyuan Wen , Binghan Liu , Josh Wolfgang , Timothy E. Long , Roy Odle , Shengfeng Cheng

A quantum version of a recent formulation of transition state theory in {\em phase space} is presented. The theory developed provides an algorithm to compute quantum reaction rates and the associated Gamov-Siegert resonances with very high…

Chaotic Dynamics · Physics 2009-11-11 Roman Schubert , Holger Waalkens , Stephen Wiggins
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