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The rate of escape of an ideal bead-spring polymer in a symmetric double-well potential is calculated using transition state theory (TST) and the results compared with direct dynamical simulations. The minimum energy path of the transitions…

软凝聚态物质 · 物理学 2015-05-25 Harri Mökkönen , Timo Ikonen , Tapio Ala-Nissila , Hannes Jónsson

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

The rate of escape of polymers from a two-dimensionally confining potential well has been evaluated using self-avoiding as well as ideal chain representations of varying length, up to 80 beads. Long timescale Langevin trajectories were…

软凝聚态物质 · 物理学 2015-03-27 Harri Mökkönen , Timo Ikonen , Tapio Ala-Nissila , Hannes Jónsson

Simulations with an adaptive time-dependent bias, such as metadynamics, enable an efficient exploration of the conformational space of a system. However, the dynamic information of the system is altered by the bias. With infrequent…

We present an efficient method to compute transition rates between states for a two-state system. The method utilizes the equivalence between steady-state flux and mean first passage rate for such systems. More specifically, the procedure…

生物物理 · 物理学 2011-09-06 Divesh Bhatt , Ivet Bahar

A practical method for finding free energy barriers for transitions in high-dimensional classical and quantum systems is presented and used to calculate the dissociative sticking probability of H2 on a metal surface within transition state…

chem-ph · 物理学 2009-10-22 Gregory Mills , Hannes Jonsson

In Part I [J. Chem. Phys. 138, 084108 (2013)] we derived a quantum transition-state theory by taking the t->0+ (short-time) limit of a new form of quantum flux-side time-correlation function containing a ring-polymer dividing surface. This…

化学物理 · 物理学 2013-09-05 Stuart C. Althorpe , Timothy J. H. Hele

We study the dynamics of flexible, semiflexible, and self-avoiding polymer chains moving under a Kramers metastable potential. Due to thermal noise, the polymers, initially placed in the metastable well, can cross the potential barrier, but…

软凝聚态物质 · 物理学 2013-12-05 Jaeoh Shin , Timo Ikonen , Mahendra D. Khandkar , Tapio Ala-Nissila , Wokyung Sung

Brownian escape is key to a wealth of physico-chemical processes, including polymer folding, and information storage. The frequency of thermally activated energy barrier crossings is assumed to generally decrease exponentially with…

软凝聚态物质 · 物理学 2020-06-19 Marie Chupeau , Jannes Gladrow , Alexei Chepelianskii , Ulrich F. Keyser , Emmanuel Trizac

Transition of a system between two states is an important but difficult problem in natural science. In this article we study the transition problem in the framework of transition path ensemble. Using the overdamped Langevin method, we…

统计力学 · 物理学 2023-02-01 De-Zhang Li , Jia-Rui Zeng , Wei-Jie Huang , Yao Yao , Xiao-Bao Yang

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

软凝聚态物质 · 物理学 2022-09-26 Margarita Colberg , Jeremy Schofield

We investigate time-dependent probability for a Brownian particle passing over the barrier to stay at a metastable potential pocket against escaping over the barrier. This is related to whole fusion-fission dynamical process and can be…

数据分析、统计与概率 · 物理学 2014-10-13 Jie Han , Jing-Dong Bao

For the first time, the energy diffusion approximation is confronted at the percent level with the exact numerical modeling of thermal decay of a metastable state. The latter is performed using the quasistationary decay rates resulting from…

核理论 · 物理学 2019-08-13 Igor I. Gontchar , Maria V. Chushnyakova

We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes. The method proceeds by evolving strings, i.e. smooth curves…

凝聚态物理 · 物理学 2009-11-07 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

We address the problem of constructing accurate mathematical models of the dynamics of complex systems projected on a collective variable. To this aim we introduce a conceptually simple yet effective algorithm for estimating the parameters…

统计力学 · 物理学 2022-09-28 Karen Palacio-Rodriguez , Fabio Pietrucci

In many systems, the time scales of the microscopic dynamics and macroscopic dynamics of interest are separated by many orders of magnitude. Examples abound, for instance nucleation, protein folding, and chemical reactions. For these…

其他凝聚态物理 · 物理学 2009-11-13 J. Kuipers , G. T. Barkema

Fluids confined to quasi-one-dimensional channels exhibit a dynamic crossover from single file diffusion to normal diffusion as the channel becomes wide enough for particles to hop past each other. In the crossover regime, where hopping…

软凝聚态物质 · 物理学 2019-07-24 Sheida Ahmadi , Marina Schmidt , Raymond J. Spiteri , Richard K. Bowles

Monte Carlo simulation is used to study the dynamical crossover from single file diffusion to normal diffusion in fluids confined to narrow channels. We show that the long time diffusion coefficients for a series of systems involving hard…

软凝聚态物质 · 物理学 2015-06-17 Surajith N. Wanasundara , Raymond J. Spiteri , Richard K. Bowles

Stochastically switching force terms appear frequently in models of biological systems under the action of active agents such as proteins. The interaction of switching force and Brownian motion can create an "effective thermal equilibrium"…

统计力学 · 物理学 2024-01-17 Benjamin L. Walker , Katherine Newhall

The mean first-passage time (MFPT) is one standard measure for the reaction time in thermally activated barrier-crossing processes. While the relationship between MFPTs and phenomenological rate coefficients is known for systems that…

统计力学 · 物理学 2024-03-12 Qingyuan Zhou , Roland R. Netz , Benjamin A. Dalton
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