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We present a systematic description of the structure of Bose-Einstein condensation (BEC) in the free Bose gas from the viewpoint of the correspondence between the operator-algebraic formulation based on the resolvent algebra and the…

Mathematical Physics · Physics 2026-04-09 Yoshitsugu Sekine

Accurate, yet computationally efficient energy functions are essential for state-of-the art molecular dynamics (MD) studies of condensed phase systems. Here, a generic workflow based on a combination of machine learning-based and empirical…

Chemical Physics · Physics 2025-07-01 Eric D. Boittier , Silvan Käser , Markus Meuwly

The excess free energy of a molecular cluster is a key quantity in models of the nucleation of droplets from a metastable vapour phase; it is often viewed as the free energy arising from the presence of an interface between the two phases.…

Statistical Mechanics · Physics 2015-05-25 Hoi Yu Tang , Ian J. Ford

We present an approach to describing fluctuational electrodynamic (FED) interactions, particularly van der Waals (vdW) interactions as well as radiative heat transfer (RHT), between material bodies of vastly different length scales,…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Jan Hermann , Alexandre Tkatchenko , Alejandro W. Rodriguez

In transitions between different environmental settings, a molecular system inevitably undergoes a range of detectable changes, and the ability to accurately simulate such responses, e.g., in the form of shifts to molecular energies,…

Chemical Physics · Physics 2026-01-14 Kasper F. Schaltz , Jonas Greiner , Filippo Lipparini , Janus J. Eriksen

In a previous work, the n-vicinity method for approximate calculation of the partition function of a spin system was proposed. The equation of state was obtained in the most general form. In the present paper, we analyze the applicability…

Disordered Systems and Neural Networks · Physics 2017-02-01 Boris Kryzhanovsky , Leonid Litinskii

A numerical model is built, simulating the principles of kinetic gas theory, to predict pressures of molecules in a spherical pressure vessel; the model tracks a single particle and multiplies the force on the spherical walls by a mole of…

Statistical Mechanics · Physics 2026-03-31 Matthew Marko

We consider an implementation of the adiabatic spin dynamics approach in a tight-binding description of the electronic structure. The adiabatic approximation for spin-degrees of freedom assumes that the faster electronic degrees of freedom…

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…

The calculation of the interfacial free energy between two thermodynamic phases is crucial across various fields, including materials science, chemistry, and condensed matter physics. In this study, we apply an existing thermodynamic…

Soft Condensed Matter · Physics 2024-11-26 Ignacio Sanchez-Burgos , Pablo Montero de Hijes , Eduardo Sanz , Carlos Vega , Jorge R. Espinosa

The hydration free energy of a macromolecule is the central property of interest for understanding its distribution over conformations and its state of aggregation. Calculating the hydration free energy of a macromolecule in all-atom…

Soft Condensed Matter · Physics 2022-06-22 Rohan S. Adhikari , Arjun Valiya Parambathu , Walter G. Chapman , Dilipkumar N. Asthagiri

The temperature dependence of the solid-liquid interfacial free energy, {\gamma}, is investigated for Al and Ni at the undercooled temperature regime based on a recently developed persistent-embryo method. The atomistic description of the…

Chemical Physics · Physics 2018-11-06 Yang Sun , Feng Zhang , Huajing Song , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho

Alchemical binding free energy (BFE) calculations offer an efficient and thermodynamically rigorous approach to in silico binding affinity predictions. As a result of decades of methodological improvements and recent advances in computer…

Statistical Mechanics · Physics 2021-07-13 Pengfei Li , Zhijie Li , Yu Wang , Huaixia Dou , Brian K. Radak , Woody Sherman , Huafeng Xu

In experiments, the free energy of transferring the peptide group from water to an osmolyte solution is obtained using the transfer free energy of (Gly)_n with the added assumption that a constant incremental change in free energy with n…

Chemical Physics · Physics 2013-01-29 D. Asthagiri , D. S. Tomar , V. Weber

We present a Monte Carlo simulation technique by which the free energy of disordered systems can be computed directly. It is based on thermodynamic integration. The central idea is to construct an analytically solvable reference system from…

Statistical Mechanics · Physics 2015-05-14 Tanja Schilling , Friederike Schmid

We derive a upper bound on the free energy of a Bose gas system at density $\rho$ and temperature $T$. In combination with the lower bound derived previously by Seiringer \cite{RS1}, our result proves that in the low density limit, i.e.,…

Mathematical Physics · Physics 2015-05-13 Jun Yin

The microscopic approach to calculating the free energy of a three-dimensional Ising-like system in a homogeneous external field is developed in the higher non-Gaussian approximation (the $\rho^6$ model) at temperatures above the critical…

Statistical Mechanics · Physics 2008-12-11 I. V. Pylyuk , M. P. Kozlovskii

Accurate predictions of charge excitation energies of molecules in the disordered condensed phase are central to the chemical reactivity, stability, and optoelectronic properties of molecules and critically depend on the specific…

Chemical Physics · Physics 2021-08-25 Guorong Weng , Vojtech Vlcek

We propose a new approach, "structure integration", enabling direct evaluation of configurational free energy for large systems. The present approach is based on the statistical information of lattice. Through first-principles-based…

Materials Science · Physics 2015-12-01 Kazuhito Takeuchi , Ryohei Tanaka , Koretaka Yuge

The expression of the free energy of a liquid in terms of an explicit decomposition of the particle configurations into local coordination clusters is examined. We argue that the major contribution to the entropy associated with structural…

Soft Condensed Matter · Physics 2016-06-10 Pierre Ronceray , Peter Harrowell