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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

A density-functional-theory based approach to efficiently compute numerically exact vibrational free energies - including anharmonicity - for chemically complex multicomponent alloys is developed. It is based on a combination of…

Based on thermodynamic integration we introduce atoms in molecules (AIM) using the orbital-free framework of alchemical perturbation density functional theory (APDFT). Within APDFT, atomic energies and electron densities in molecules are…

Chemical Physics · Physics 2020-06-15 Guido Falk von Rudorff , O. Anatole von Lilienfeld

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

Recently, nanofluidics experiments have been used to characterize the behavior of single DNA molecules confined to narrow slits etched with arrays of nanopits. Analysis of the experimental data relies on analytical estimates of the…

Soft Condensed Matter · Physics 2024-09-09 James M. Polson , Matthew Kozma

Partial energy fluctuations are known tools to reconstruct microcanonical heat capacities. For experimental applications, approximations have been developed to infer fluctuations at freeze out from the observed fragment partitions. The…

Nuclear Theory · Physics 2009-11-10 F. Gulminelli , Ph. Chomaz , M. D'Agostino

Free energy calculations are widely used tools in computational chemistry, but their dependence on the assignment of partial charges during force field parametrization reduces their accuracy and reproducibility. In this work, we highlight…

We present a ``coarse molecular dynamics'' approach and apply it to studying the kinetics and thermodynamics of a peptide fragment dissolved in water. Short bursts of appropriately initialized simulations are used to infer the deterministic…

Chemical Physics · Physics 2009-11-07 Gerhard Hummer , Ioannis G. Kevrekidis

Free energies are fundamental quantities governing phase behavior and thermodynamic stability in polymer systems, yet their accurate computation often requires extensive simulations and post-processing techniques such as the Bennett…

Soft Condensed Matter · Physics 2026-03-19 Ian Chen , Alfredo Alexander-Katz

We propose a method of free energy calculation for a system of interacting particles arranged in a Bravais lattice. It will be shown how to treat divergences for infinite unbounded systems with "catastrophic" potetntials like Coulomb and…

Statistical Mechanics · Physics 2015-07-17 B. I. Lev , V. B. Tymchyshyn , A. G. Zagorodny

Probabilistic graphical models have emerged as a powerful modeling tool for several real-world scenarios where one needs to reason under uncertainty. A graphical model's partition function is a central quantity of interest, and its…

Artificial Intelligence · Computer Science 2021-05-25 Durgesh Agrawal , Yash Pote , Kuldeep S Meel

The free energy functional has recently been proposed as a variational principle for bounded rational decision-making, since it instantiates a natural trade-off between utility gains and information processing costs that can be…

Machine Learning · Statistics 2012-05-18 Pedro A. Ortega , Daniel A. Braun

Simulating the full dynamics of a quantum field theory over a wide range of energies requires exceptionally large quantum computing resources. Yet for many observables in particle physics, perturbative techniques are sufficient to…

High Energy Physics - Phenomenology · Physics 2021-12-01 Christian W. Bauer , Marat Freytsis , Benjamin Nachman

Despite the modern level of development of computational chemistry methods and techno-logical progress, fast and accurate determination of solvation free energy remains a huge problem for physical chemists. In this paper, we describe two…

Chemical Physics · Physics 2021-05-18 N. N. Kalikin , Y. A. Budkov , A. L. Kolesnikov , D. V. Ivlev , M. A. Krestyaninov , M. G. Kiselev

Estimating vibrational entropy is a significant challenge in thermodynamics and statistical mechanics due to its reliance on quantum mechanical properties. This paper introduces a quantum algorithm designed to estimate vibrational entropy…

Quantum Physics · Physics 2025-11-25 Shangjie Guo , Corneliu Buda , Nathan Wiebe

We present an Adaptively Biased Molecular Dynamics (ABMD) method for the computation of the free energy surface of a reaction coordinate using non-equilibrium dynamics. The ABMD method belongs to the general category of umbrella sampling…

Materials Science · Physics 2008-04-16 Volodymyr Babin , Christopher Roland , Celeste Sagui

The proposed method of the free energy calculation is based on the approximation of the energy distribution in the microcanonical ensemble by the Gaussian distribution. We hope that our approach will be effective for the systems with…

Disordered Systems and Neural Networks · Physics 2015-06-23 Boris Kryzhanovsky , Leonid Litinskii

In the present work we introduce a computational approach to the absolute rovibrational quantum partition function using the path-integral formalism of quantum mechanics in combination with the nested sampling technique. The numerical…

Quantum Physics · Physics 2018-06-22 Bela Szekeres , Livia B. Partay , Edit Matyus

Disordered and frustrated graphical systems are ubiquitous in physics, biology, and information science. For models on complete graphs or random graphs, deep understanding has been achieved through the mean-field replica and cavity methods.…

Statistical Mechanics · Physics 2012-04-10 Haijun Zhou , Chuang Wang , Jing-Qing Xiao , Zedong Bi

We consider dimer model on a hexagonal lattice. This model can be seen as a "pile of cubes in the box". The energy of configuration is given by the volume of the pile and the partition function is computed by the classical MacMahon formula…

Mathematical Physics · Physics 2020-11-30 Anton Nazarov , Sergey Paston