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We study the energy distribution during the emergence of a quasi-equilibrium (QE) state in the course of relaxation to equipartition in slow-fast Hamiltonian systems. A bead-spring model where beads (masses) are connected by springs is…

Soft Condensed Matter · Physics 2021-09-15 Tatsuo Yanagita , Tetsuro Konishi

Finding optimal solutions to combinatorial optimization problems is pivotal in both scientific and technological domains, within academic research and industrial applications. A considerable amount of effort has been invested in the…

Statistical Mechanics · Physics 2024-12-13 Zi-Song Shen , Feng Pan , Yao Wang , Yi-Ding Men , Wen-Biao Xu , Man-Hong Yung , Pan Zhang

After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES) whose local properties are believed to be governed by a generalized Gibbs ensemble (GGE). Combining quench action and the form…

Quantum Physics · Physics 2026-01-13 Yang-Yang Chen , Song Cheng

Accurately predicting protein-ligand binding free energies (BFEs) remains a central challenge in drug discovery, particularly because the most reliable methods, such as free energy perturbation (FEP), are computationally intensive and…

Chemical Physics · Physics 2025-12-09 Farzad Molani , Art E. Cho

We present a guide to compute the phase-boundaries of classical systems using a dynamic Clausius-Clapeyron integration (dCCI) method within the LAMMPS (Large-scale Atomic/Molecular Massively Parallel Simulator) code. The advantage of the…

Materials Science · Physics 2021-12-10 Samuel Cajahuaringa , Alex Antonelli

In stress field analysis, the finite element analysis is a crucial approach, in which the mesh-density has a significant impact on the results. High mesh density usually contributes authentic to simulation results but costs more computing…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Qingfeng Xu , Zhenguo Nie , Handing Xu , Haosu Zhou , Xinjun Liu

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

Jamming is a common feature of out of equilibrium systems showing slow relaxation dynamics. Here we review our efforts in understanding jamming in granular materials using experiments and computer simulations. We first obtain an estimation…

Soft Condensed Matter · Physics 2009-11-11 Chaoming Song , Ping Wang , Fabricio Potiguar , Hernan A. Makse

Accurate free-energy estimation is essential in molecular simulation, yet the periodic boundary conditions (PBC) commonly used in computer simulations have rarely been explicitly exploited. Equilibrium methods such as umbrella sampling,…

Statistical Mechanics · Physics 2025-11-03 Daniel Nagel , Tristan Bereau

Data assimilation methods aim at estimating the state of a system by combining observations with a physical model. When sequential data assimilation is considered, the joint distribution of the latent state and the observations is described…

Methodology · Statistics 2018-04-23 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet , Pierre Tandeo

Free energies govern the behavior of soft and liquid matter, and improving their predictions could have a large impact on the development of drugs, electrolytes or homogeneous catalysts. Unfortunately, it is challenging to devise an…

Chemical Physics · Physics 2021-04-14 Jan Weinreich , Nicholas J. Browning , O. Anatole von Lilienfeld

Most methods for estimating configurational entropy from molecular simulation data yield upper limits except for harmonic systems where they are exact. Problems arise at diffusive systems and the presence of conformational transitions.…

Chemical Physics · Physics 2019-10-22 Jürgen Schlitter , Matthias Massarczyk

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman

We presented an efficient algorithm, fast adaptive flat-histogram ensemble (FAFE), to estimate the density of states (DOS) and to enhance sampling in large systems. FAFE calculates the means of an arbitrary extensive variable $U$ in…

Statistical Mechanics · Physics 2008-11-13 Xin Zhou , Yi Jiang

The Targeted Free Energy Perturbation (TFEP) method aims to overcome the time-consuming and computer-intensive stratification process of standard methods for estimating the free energy difference between two states. To achieve this, TFEP…

Chemical Physics · Physics 2023-02-24 Soo Jung Lee , Amr H. Mahmoud , Markus A. Lill

We consider the dynamics of an impurity atom immersed in an ideal Fermi gas at zero temperature. We focus on the coherent quantum evolution of the impurity following a quench to strong impurity-fermion interactions, where the interactions…

Quantum Gases · Physics 2019-11-25 Meera Parish , Jesper Levinsen

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Fabian Key , Lukas Freinberger

We report on low temperature measurements performed on micro-electro-mechanical systems (MEMS) driven deeply into the non-linear regime. The materials are kept in their elastic domain, while the observed non-linearity is purely of…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Eddy Collin , Yuriy M. Bunkov , Henri Godfrin

We present a new method to compute free energies at a quantum mechanical (QM) level of theory from molecular simulations using cheap reference potential energy functions, such as force fields. To overcome the poor overlap between the…

Computational Physics · Physics 2023-11-13 Andrea Rizzi , Paolo Carloni , Michele Parrinello

A new mathematical model for non-equilibrium evaporation/condensation including boiling effect is proposed. A simplified differential-algebraic system of equations is obtained. A code to solve numerically this differential-algebraic system…

Statistical Mechanics · Physics 2018-03-09 B. V. Librovitch , A. F. Nowakowski , F. C. G. A. Nicolleau , T. M. Michelitsch