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In recent years, plasmonic nanocavities have emerged as powerful tools for controlling and enhancing light-matter interactions at the nanoscale. This study explores the role of plasmonic nanocavities in manipulating nonadiabatic dynamics,…

Optics · Physics 2025-01-23 Yu Wang , Ruihao Bi , Wenjie Dou

Many processes in chemistry, physics, and biology involve rare events in which the system escapes from a metastable state by surmounting an activation barrier. Examples range from chemical reactions, protein folding, and nucleation events…

Chemical Physics · Physics 2020-10-07 Niels Zijlstra , Daniel Nettels , Rohit Satija , Dmitrii E. Makarov , Benjamin Schuler

We derive an exact solution of an explicitly time-dependent multichannel model of quantum mechanical nonadiabatic transitions. In the limit N >>1, where N is the number of states, we find that the survival probability of the initially…

Quantum Physics · Physics 2015-06-15 N. A. Sinitsyn

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

For years, theoretical calculations and scalable computer simulations have complemented ultrafast experiments as they offer the advantage to overcome experimental restrictions and have access to the whole dynamics. This synergy between…

Chemical Physics · Physics 2024-02-20 Patricia Vindel-Zandbergen , Jesús González-Vázquez

We present a one-way shooting algorithm for transition path sampling that accepts every proposed trajectory, yet samples the correct transition path ensemble for systems with overdamped stochastic dynamics. The method is based on two key…

Computational Physics · Physics 2026-03-10 Magdalena Häupl , Sebastian Falkner , Peter G. Bolhuis , Christoph Dellago , Alessandro Coretti

This work deals with the integration of nonsmooth flexible multibody systems with impacts and dry friction. We develop a framework which improves a non-impulsive trajectory of state variables by impulsive correction after each time-step if…

Numerical Analysis · Mathematics 2017-03-14 Shahed Rezaei , Thorsten Schindler

We review two recently developed efficient methods for calculating rate constants of processes dominated by rare events in high-dimensional complex systems. The first is transition interface sampling (TIS), based on the measurement of…

Statistical Mechanics · Physics 2009-11-10 Titus S. van Erp , Peter G. Bolhuis

Surface hopping algorithms are popular tools to study dynamics of the quantum-classical mixed systems. In this paper, we propose a surface hopping algorithm in diabatic representations, based on time dependent perturbation theory and…

Numerical Analysis · Mathematics 2022-10-19 Di Fang , Jianfeng Lu

Transition path theory computes statistics from ensembles of reactive trajectories. A common strategy for sampling reactive trajectories is to control the branching and pruning of trajectories so as to enhance the sampling of low…

Statistical Mechanics · Physics 2022-08-10 Bodhi P. Vani , Jonathan Weare , Aaron R. Dinner

Path sampling approaches have become invaluable tools to explore the mechanisms and dynamics of so-called rare events that are characterized by transitions between metastable states separated by sizeable free energy barriers. Their…

Statistical Mechanics · Physics 2022-06-08 Steven W. Hall , Grisell Díaz Leines , Sapna Sarupria , Jutta Rogal

Here we outline and test an extension of the energy grained master equation (EGME) for treating nonadiabatic (NA) hopping between different potential energy surfaces, which enables us to model the competition between stepwise collisional…

Chemical Physics · Physics 2021-06-09 Darya Shchepanovska , Robin J. Shannon , Basile F. E. Curchod , David R. Glowacki

Biased sampling of collective variables is widely used to accelerate rare events in molecular simulations and to explore free energy surfaces. However, computational efficiency of these methods decreases with increasing number of collective…

Chemical Physics · Physics 2017-04-05 Shalini Awasthi , Nisanth N. Nair

In Bayesian statistics, exploring high-dimensional multimodal posterior distributions poses major challenges for existing MCMC approaches. This paper introduces the Annealed Leap-Point Sampler (ALPS), which augments the target distribution…

Methodology · Statistics 2026-02-10 Nicholas G. Tawn , Matthew T. Moores , Hugo Queniat , Gareth O. Roberts

The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian…

Quantum Physics · Physics 2009-11-10 T. Kato , K. Nakamura , M. Lakshmanan

We carried out extensive studies to examine the performance of the fewest-switches surface hopping method in the description of the ultrafast intersystem crossing dynamic of various singlet-triplet (S-T) models by comparison with the…

Chemical Physics · Physics 2019-05-22 Jiawei Peng , Yu Xie , Deping Hu , Zhenggang Lan

Nonequilibrium sampling is potentially much more versatile than its equilibrium counterpart, but it comes with challenges because the invariant distribution is not typically known when the dynamics breaks detailed balance. Here, we derive a…

Statistical Mechanics · Physics 2021-10-08 Grant M. Rotskoff , Eric Vanden-Eijnden

We show how the dynamically nonlocal formulation of classical nuclear motion in the presence of quantal electronic transitions presented many years ago by Pechukas can be localized in time using time dependent perturbation theory to give an…

chem-ph · Physics 2009-10-22 D. F. Coker , L. Xiao

Molecular dynamics (MD) simulations are useful in obtaining thermodynamic and kinetic properties of bio-molecules but are limited by the timescale barrier, i.e., we may be unable to efficiently obtain properties because we need to run…

Chemical Physics · Physics 2017-08-23 Surl-Hee Ahn , Jay W. Grate , Eric F. Darve

Nonadiabatic molecular dynamics is an effective method for modeling nonradiative decay in electronically excited molecules. Its accuracy depends strongly on the quality of the potential energy surfaces, and its affordability for long…

Chemical Physics · Physics 2024-10-11 Matthew R. Hennefarth , Donald G. Truhlar , Laura Gagliardi
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