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We describe a generalized algorithm for evaluating the steady-state solution of the density matrix equation of motion, for the pump-probe scheme, when two fields oscillating at different frequencies couple the same set of atomic transitions…

Quantum Physics · Physics 2024-01-31 Zifan Zhou , Yael Sternfeld , Jacob Scheuer , Selim M. Shahriar

This article describes two independent developments aimed at improving the Particle Tracking Method for measurements of flow or particle velocities. First, a stereoscopic multicamera calibration method that does not require any optical…

We present an algorithm to sample stochastic differential equations conditioned on rather general constraints, including integral constraints, endpoint constraints, and stochastic integral constraints. The algorithm is a pathspace…

Machine Learning · Statistics 2025-06-23 Tobias Grafke

In this paper, we suggest a novel sampling method for Monte Carlo molecular simulations. In order to perform efficient sampling of molecular systems, it is advantageous to avoid extremely high energy configurations while also retaining the…

Computational Physics · Physics 2019-07-18 Katsuhiro Endo , Daisuke Yuhara , Kenji Yasuoka

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

To simulate the dynamics of fluid with polydisperse particles on macroscale level, one has to solve hydrodynamic equations with several relaxation terms, representing momentum transfer from fluid to particles and vice versa. For small…

Density ratio estimation in high dimensions can be reframed as integrating a certain quantity, the time score, over probability paths which interpolate between the two densities. In practice, the time score has to be estimated based on…

Machine Learning · Computer Science 2025-06-13 Hanlin Yu , Arto Klami , Aapo Hyvärinen , Anna Korba , Omar Chehab

We introduce a temporal scheme for data sampling, based on a variable delay between two successive data acquisitions. The scheme is designed so as to reduce the average data flow rate, while still retaining the information on the data…

Soft Condensed Matter · Physics 2016-08-06 A. Philippe , S. Aime , V. Roger , R. Jelinek , G. Prévot , L. Berthier , L. Cipelletti

This work inspects the thermally activated transfer of solute particles across the interface between two interstitial solid solution phases that equilibrate internally by fast diffusion on conserved arrays of sites. When each phase is…

Materials Science · Physics 2026-01-30 Jörg Weissmüller

Understanding transition pathways between two meta-stable states of a molecular system is crucial to advance drug discovery and material design. However, unbiased molecular dynamics (MD) simulations are computationally infeasible because of…

Machine Learning · Computer Science 2025-01-28 Kiyoung Seong , Seonghyun Park , Seonghwan Kim , Woo Youn Kim , Sungsoo Ahn

The shift in chemical equilibria due to isotope substitution is often exploited to gain insight into a wide variety of chemical and physical processes. It is a purely quantum mechanical effect, which can be computed exactly using…

Statistical Mechanics · Physics 2014-07-04 Michele Ceriotti , Thomas E. Markland

We introduce dynamic nested sampling: a generalisation of the nested sampling algorithm in which the number of "live points" varies to allocate samples more efficiently. In empirical tests the new method significantly improves calculation…

Computation · Statistics 2019-08-27 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

We present a method to study rare nonadiabatic dynamics in open quantum systems using transition path sampling and quantum jump trajectories. As with applications of transition path sampling to classical dynamics, the method does not rely…

Statistical Mechanics · Physics 2021-12-08 Addison J. Schile , David T. Limmer

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

In this paper, a purely measurement-based method is proposed to estimate the dynamic system state matrix by applying the regression theorem of the multivariate Ornstein-Uhlenbeck process. The proposed method employs a recursive algorithm to…

Signal Processing · Electrical Eng. & Systems 2019-05-29 Hao Sheng , Xiaozhe Wang

Due to the time scale problem, rare events are not accessible by straight forward molecular dynamics. The presence of multiple reaction channels complicates the problem even further. The feasibility of the standard free energy based methods…

Statistical Mechanics · Physics 2009-11-13 Titus S. van Erp

We present a family of algorithms for the fast determination of reaction paths and barriers in phase space and the computation of the corresponding rates. The method requires the reaction times be large compared to the microscopic time,…

Statistical Mechanics · Physics 2009-11-10 Sorin Tanase-Nicola , Jorge Kurchan

We present a method to sample reactive pathways via biased molecular dynamics simulations in trajectory space. We show that the use of enhanced sampling techniques enables unconstrained exploration of multiple reaction routes. Time…

Computational Physics · Physics 2020-07-15 Davide Mandelli , Barak Hirshberg , Michele Parrinello

From the point of view of statistical mechanics, a full characterisation of a molecular system requires the experimental determination of its possible states, their populations and the respective interconversion rates. Well-established…

Computational Physics · Physics 2020-06-02 Z. Faidon Brotzakis , Michele Vendruscolo , Peter. G. Bolhuis

We present an energy-stable scheme for numerically approximating the governing equations for incompressible two-phase flows with different densities and dynamic viscosities for the two fluids. The proposed scheme employs a scalar-valued…

Computational Physics · Physics 2019-06-26 Z. Yang , S. Dong