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Kirkwood-Buff (KB) integrals are notoriously difficult to converge from a canonical simulation because they require estimating the grand-canonical radial distribution. The same essential difficulty is encountered when attempting to estimate…

Statistical Mechanics · Physics 2018-07-17 David M. Rogers

Kirkwood-Buff integrals (KBI) connect the microscopic structure and thermodynamic properties of liquid solutions. KBI are defined in the grand canonical ensemble and evaluated assuming the thermodynamic limit (TL). In order to reconcile…

Statistical Mechanics · Physics 2022-02-16 Mauricio Sevilla , Robinson Cortes-Huerto

Thermodynamics controls structure, function, stability and morphology of polymer blends. However, obtaining the precise information about their mixing thermodynamics is a challenging task, especially when dealing with complex…

Soft Condensed Matter · Physics 2022-03-02 Debashish Mukherji , Tiago Espinosa de Oliveira , Celine Ruscher , Joerg Rottler

Volume integrals over the radial pair-distribution function, so-called Kirkwood-Buff integrals (KBI) play a central role in the theory of solutions, by linking structural with thermodynamic information. The simplest example is the…

Statistical Mechanics · Physics 2021-06-09 Peter Krüger

We present a statistical mechanical theory of multi-component fluids, where we consider the correlation functions of the number densities and the energy density in the grand canonical ensemble. In terms of their space integrals we express…

Statistical Mechanics · Physics 2024-05-10 Akira Onuki

We compute partial structure factors, Kirkwood-Buff integrals (KBIs) and chemical potentials of model supercooled liquids with and without attractive interactions. We aim at investigating whether relatively small differences in the tail of…

Soft Condensed Matter · Physics 2022-03-04 Atreyee Banerjee , Mauricio Sevilla , Joseph F. Rudzinski , Robinson Cortes-Huerto

Computation of the excess entropy from the second-order density expansion of the entropy holds strictly for infinite systems in the limit of small densities. For the reliable and efficient computation of excess entropy, it is important to…

Statistical Mechanics · Physics 2025-05-29 Darshan Raju , Mahinder Ramdin , Jean-Marc Simon , Peter Kruger , Thijs J. H. Vlugt

The Kirkwood-Buff integrals for two-component mixtures in one-dimensional systems are calculated directly. The results are applied to square-well particles and found to agree with those obtained by the inversion of the Kirkwood-Buff theory…

Statistical Mechanics · Physics 2009-10-30 Arieh Ben-Naim , Andrés Santos

Protein conformational stability and function depend on non-covalent interactions that are strongly influenced by the surrounding environment. To explore protein properties, amino acids are often utilized as model systems. In this study, we…

Soft Condensed Matter · Physics 2026-03-31 Z. Štefanič , B. Hribar-Lee

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

Complex soft matter systems can be efficiently studied with the help of adaptive resolution simulation methods, concurrently employing two levels of resolution in different regions of the simulation domain. The non-matching properties of…

Determining the Fourier representation of various molecular interactions is important for constructing density-based field theories from a microscopic point of view, enabling a multiscale bridge between microscopic and mesoscopic…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of…

Statistical Mechanics · Physics 2008-11-26 R. D. Rohrmann , J. Zorec

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the…

Computational Physics · Physics 2020-09-30 Bingqing Cheng , Daan Frenkel

We present a reciprocal space technique for the calculation of the Coulomb integral in two dimensions in systems with reduced periodicity, i.e., finite systems, or systems that are periodic only in one dimension. The technique consists in…

Other Condensed Matter · Physics 2009-10-09 Alberto Castro , Esa Rasanen , Carlo Andrea Rozzi

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

In the field of parallel imaging (PI), alongside image-domain regularization methods, substantial research has been dedicated to exploring $k$-space interpolation. However, the interpretability of these methods remains an unresolved issue.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-31 Zhuo-Xu Cui , Congcong Liu , Xiaohong Fan , Chentao Cao , Jing Cheng , Qingyong Zhu , Yuanyuan Liu , Sen Jia , Yihang Zhou , Haifeng Wang , Yanjie Zhu , Jianping Zhang , Qiegen Liu , Dong Liang

Obtaining a rigorous and reliable method for linking computer simulations of polymer blends and composites at different length scales of interest is a highly desirable goal in soft matter physics. In this paper a multiscale modeling…

Soft Condensed Matter · Physics 2015-05-19 J. McCarty , M. G. Guenza

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

We compute the thermodynamic properties of the glass phase in a binary mixture of soft spheres. Our approach is a generalization to mixtures of the replica strategy, recently proposed by Mezard and Parisi, providing a first principle…

Condensed Matter · Physics 2009-10-31 Barbara Coluzzi , Marc Mezard , Giorgio Parisi , Paolo Verrocchio
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