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A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2020-09-17 Roland R. Netz

We introduce an algorithm for sampling many-body quantum states in Fock space. The algorithm efficiently samples states with probability approximately proportional to an arbitrary function of the second-quantized Hamiltonian matrix element…

Strongly Correlated Electrons · Physics 2016-04-28 Adam Holmes , Hitesh J. Changlani , C. J. Umrigar

Finding and sampling multiple reaction channels for molecular transitions remains an important challenge in physical chemistry. Here we show that the weighted ensemble (WE) path sampling method can readily sample multiple channels. In a…

Biological Physics · Physics 2009-02-17 Bin W. Zhang , David Jasnow , Daniel M. Zuckerman

In many quantum quench experiments involving cold atom systems the post-quench system can be described by a quantum field theory of free scalars or fermions, typically in a box or in an external potential. We work with free scalars in…

High Energy Physics - Theory · Physics 2023-08-29 Parijat Banerjee , Adwait Gaikwad , Anurag Kaushal , Gautam Mandal

We propose a new global optimization method ({\em Simulated Tempering}) for simulating effectively a system with a rough free energy landscape (i.e. many coexisting states) at finite non-zero temperature. This method is related to simulated…

High Energy Physics - Lattice · Physics 2010-12-17 Enzo Marinari , Giorgio Parisi

Energy-Based Models (EBMs) present a flexible and appealing way to represent uncertainty. Despite recent advances, training EBMs on high-dimensional data remains a challenging problem as the state-of-the-art approaches are costly, unstable,…

Machine Learning · Computer Science 2021-06-08 Will Grathwohl , Jacob Kelly , Milad Hashemi , Mohammad Norouzi , Kevin Swersky , David Duvenaud

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the ``maximum entropy production'' (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses…

Populations and Evolution · Quantitative Biology 2009-08-25 Robert K. Niven

In order to predict the potential energy surface (PES) from measured structure in equilibrium state, one should typically perform trial-and-error statistical thermodynamic simulation with assumed multibody interactions. Very recently, we…

Disordered Systems and Neural Networks · Physics 2017-07-11 Koretaka Yuge

Bayesian models have many desirable properties, most notable is their ability to generalize from limited data and to properly estimate the uncertainty in their predictions. However, these benefits come at a steep computational cost as…

Machine Learning · Computer Science 2022-06-07 Coby Penso , Idan Achituve , Ethan Fetaya

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

Soft Condensed Matter · Physics 2017-02-03 René Wittmann , Joseph M. Brader

We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a rigid channel. Through a careful investigation of the…

Numerical Analysis · Mathematics 2020-07-20 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca

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

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

Statistical Mechanics · Physics 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

Metadynamics (MTD) is a very powerful technique to sample high-dimensional free energy landscapes, and due to its self-guiding property, the method has been successful in studying complex reactions and conformational changes. MTD sampling…

Computational Physics · Physics 2016-02-05 Shalini Awasthi , Venkat Kapil , Nisanth N. Nair

We present a temperature-independent Monte Carlo method for the determination of the density of states of lattice proteins that combines the fast ground-state search strategy of the nPERM chain growth and multicanonical reweighting for…

Statistical Mechanics · Physics 2009-11-10 Michael Bachmann , Wolfhard Janke

We propose a numerical technique to compute the equilibrium free energy of glasses that cannot be prepared quasi-reversibly. For such systems, standard techniques for estimating the free energy by extrapolation, cannot be used. Instead, we…

Statistical Mechanics · Physics 2021-01-04 H. A. Vinutha , Daan Frenkel

We report a systematic and accurate approach for deriving the bulk free energy surface (FES), a function of temperature, polarization, and strain, from the first-principles density functional theory (DFT) of proper ferroelectrics. The core…

Materials Science · Physics 2026-02-10 Pinchen Xie , Yixiao Chen , Xinyu Xu , Zhi Yao , Weinan E , Roberto Car

Many biological processes involve numerous coupled degrees of freedom, yet free-energy estimation is often restricted to one-dimensional profiles to mitigate the high computational cost of multidimensional sampling. In this work, we extend…

Statistical Mechanics · Physics 2026-02-12 Daniel Nagel , Tristan Bereau

We study the out-of-equilibrium behavior of statistical systems along critical relaxational flows arising from instantaneous quenches of the temperature $T$ to the critical point $T_c$, starting from equilibrium conditions at time $t=0$. In…

Statistical Mechanics · Physics 2024-06-11 Haralambos Panagopoulos , Ettore Vicari

With the traditional equilibrium molecular simulations, it is usually difficult to efficiently visit the whole conformational space in complex systems, which are separated into some metastable conformational regions by high free energy…

Soft Condensed Matter · Physics 2019-08-17 Cheng Yang , Biao Wan , Shun Xu , Yanting Wang , Xin Zhou