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The Mean Spherical Approximation (MSA) is a commonly-used thermodynamic theory for computing the energetics of ions in the primitive model (i.e., charged hard-sphere ions in a background dielectric). For the excess chemical potential,…

统计力学 · 物理学 2022-08-24 Johan S. Høye , Dirk Gillespie

Microscopic thermal machines promise to play an important role in future quantum technologies. Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like…

统计力学 · 物理学 2024-10-02 Joshua Eglinton , Federico Carollo , Igor Lesanovsky , Kay Brandner

A key challenge for soft materials design and coarse-graining simulations is determining interaction potentials between components that give rise to desired condensed-phase structures. In theory, the Ornstein-Zernike equation provides an…

软凝聚态物质 · 物理学 2021-02-22 Rhys E. A. Goodall , Alpha A. Lee

The shrinking core model describes the reaction of a spherical solid particle with a surrounding fluid. In this work, we revisit the SCM by deriving it from the underlying physical processes and performing a careful non-dimensionalisation,…

其他凝聚态物理 · 物理学 2025-08-05 Cristian Moreno-Pulido , Rachael Olwande , Tim Myers , Francesc Font

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

统计力学 · 物理学 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

统计力学 · 物理学 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

We develop a refined Frozen Gaussian approximation (FGA) for the fractional Schr\"odinger equation in the semi-classical regime, where the solution exhibits rapid oscillations as the scaled Planck constant $\varepsilon$ becomes small. Our…

数值分析 · 数学 2025-10-21 Lihui Chai , Hengzhun Chen , Xu Yang

We study a model for an argon-like fluid parameterised in terms of a hard-core repulsion and a two-Yukawa potential. The liquid-gas phase behaviour of the model is obtained from the thermodynamically self-consistent Ornstein-Zernike…

统计力学 · 物理学 2009-11-07 D. Pini , G. Stell , N. B. Wilding

A new kinetic self-consistent method is presented based on the proposed Gaussian Superposition Principle for computation of ensemble averaged observables of a macromolecule interacting via two-body forces. The latter leads to the derivation…

统计力学 · 物理学 2025-05-15 Edward G. Timoshenko

A method of the self-consistent calculation of the thermodynamical and correlation functions is presented. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

超导电性 · 物理学 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

Using new scaling parameters $\beta_i$, we derive simple expressions for the excess thermodynamic properties of the Mean Spherical Approximation (MSA) for the ion-dipole mixture. For the MSA and its extensions we have shown that the…

统计力学 · 物理学 2009-11-07 L. Blum

We examine the effect of non-equilibrium processes modeled by the introduction of a generalized Boltzmann factor on the thermal and magnetic properties of an array of two-dimensional GaAs quantum dots in the presence of an external uniform…

材料科学 · 物理学 2020-05-20 Jorge David Castaño-Yepes , D. A. Amor-Quiroz

In this paper we extend the familiar continuum electrostatic model with a perturbation to the usual macroscopic boundary condition. The perturbation is based on the mean spherical approximation (MSA), to derive a multiscale hydration-shell…

数值分析 · 数学 2016-07-15 Amirhossein Molavi Tabrizi , Matthew G. Knepley , Jaydeep P. Bardhan

A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of "macrostates" (e.g. sets of "microstates"), the consequence on…

统计力学 · 物理学 2015-06-03 Massimiliano Esposito

Using the quantum Hamiltonian for a gravitational system with boundary, we find the partition function and derive the resulting thermodynamics. The Hamiltonian is the boundary term required by functional differentiability of the action for…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Seth A. Major , Kevin L. Setter

Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach…

量子物理 · 物理学 2023-01-13 Si-Ying Wang , Qinghong Yang , Fu-Lin Zhang

The Self-Consistent RPA (SCRPA) approach is elaborated for cases with a continuously broken symmetry, this being the main focus of the present article. Correlations beyond standard RPA are summed up correcting for the quasi-boson…

强关联电子 · 物理学 2016-03-23 D. S. Delion , P. Schuck , M. Tohyama

The correlation entropy as a functional of radial distribution function $g(r)$ (or the total correlation function $h(r)=g(r)-1$) in classical fluids has been obtained from the second Legendre transform of the grand potential. We focus on…

统计力学 · 物理学 2018-11-02 Hiroshi Frusawa

The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for…

量子物理 · 物理学 2022-11-30 André Malavazi , Frederico Brito

We review a self-consistent scheme for modelling trapped weakly-interacting quantum gases at temperatures where the condensate coexists with a significant thermal cloud. This method has been applied to atomic gases by Zaremba, Nikuni, and…

量子气体 · 物理学 2017-08-23 A. J. Allen , C. F. Barenghi , N. P. Proukakis , E. Zaremba