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The free energy plays a fundamental role in descriptions of many systems in continuum physics. Notably, in multiphysics applications, it encodes thermodynamic coupling between different fields. It thereby gives rise to driving forces on the…

机器学习 · 计算机科学 2023-07-19 Gregory Teichert , Anirudh Natarajan , Anton Van der Ven , Krishna Garikipati

The relationship between the spectral density and free energy of a spin system is considered. The analytical expressions allowing for the calculation of the spectral density for solvable models are determined. A linear Ising model is taken…

无序系统与神经网络 · 物理学 2017-04-06 B. V. Kryzhanovsky

We reveal a wealth of nonlinear and recoil effects in the interaction between individual low-energy electrons and samples comprising a discrete number of states. Adopting a quantum theoretical description of combined free-electron and…

量子物理 · 物理学 2022-09-12 F. Javier García de Abajo , Eduardo J. C. Dias , Valerio Di Giulio

We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of the continuous description is modeled by pressure-related…

偏微分方程分析 · 数学 2018-12-18 J. A. Carrillo , M. G. Delgadino , F. S. Patacchini

Analytical relations for the mechanical response of single polymer chains are valuable for modeling purposes, on both the molecular and the continuum scale. These relations can be obtained using statistical thermodynamics and an idealized…

统计力学 · 物理学 2023-10-02 Michael R. Buche , Meredith N. Silberstein , Scott J. Grutzik

We used a thermodynamic integration scheme, which is specifically designed for disordered systems, to compute the interfacial free energy of the solid-liquid interface in the hard-sphere model. We separated the bulk contribution to the…

计算物理 · 物理学 2020-10-28 Moritz Bültmann , Tanja Schilling

We use the system-plus-reservoir approach to study the dynamics of a system composed of two independent Brownian particles. We present an extension of the well-known model of a bath of oscillators which is capable of inducing an effective…

统计力学 · 物理学 2009-11-11 O. S. Duarte , A. O. Caldeira

We review a recently developed micellization theory, which is based on a free-energy approach and offers several advantages over the conventional one, based on mass action and rate equations. As all the results are derived from a single…

软凝聚态物质 · 物理学 2016-05-03 Haim Diamant , David Andelman

Inspired by the recent development on calculating the free energy change via a relaxation process [Nat. Phys. 14, 842 (2018)], we investigate the role of heat released in an irreversible relaxation following a large perturbation. Utilizing…

This thesis introduces a framework that is able to describe general many-body coarse-grained interactions. We make use of this to describe the free energy surface as a cluster expansion in terms of monomer, dimer, and trimer terms. The…

软凝聚态物质 · 物理学 2017-09-29 S. T. John

Using computer simulations, we validate a simple free energy model that can be analytically solved to predict the equilibrium size of self-limiting clusters of particles in the fluid state governed by a combination of short-range attractive…

软凝聚态物质 · 物理学 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

A simple, approximate relation is found between the total energy of a free atom and its atomic number: E ~= -Z^{2.411}. The existence of this index is inherent in the Coulomb and many-body nature of the electron-electron interaction in the…

化学物理 · 物理学 2016-09-08 W. T. Geng

In this paper we study computationally feasible bounds for relative free energies between two many-particle systems. Specifically, we consider systems out of equilibrium that do not necessarily satisfy a fluctuation-dissipation relation,…

统计力学 · 物理学 2024-03-19 Luigi Delle Site , Carsten Hartmann

Minimum total energy calculations, which account for both electron--lattice and electron--electron interactions in conjugated polymers are performed for chains with up to eight carbon atoms. These calculations are motivated in part by…

凝聚态物理 · 物理学 2009-10-22 Giuseppe Rossi

This report concerns the energy of a zero-temperature many-body system of spin 1/2 fermions interacting via a two-body potential with a free space infinite scattering length and zero effective range; the Unitary limit. Given the…

核理论 · 物理学 2007-05-23 H. S. Kohler

It can be fruitful to view two-component physical systems of attractive monomers, A and B, ``chemically'' in terms of a reaction A + B <-> C, where C = AB is an associated pair or complex. We show how to construct free energies in the…

化学物理 · 物理学 2009-10-31 Michael E. Fisher , Daniel M. Zuckerman

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

统计力学 · 物理学 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

The power interactions of any component in electric energy systems with the rest of the system happen naturally, as governed by the energy conservation principles. There may, however, occur instances when the rate at which power gets…

系统与控制 · 电气工程与系统科学 2022-05-17 Rupamathi Jaddivada , Marija D. Ilic

Following a procedure recently utilized by Accioly et al. to obtain the D-dimensional interparticle potential energy for electromagnetic models in the nonrelativistic limit, and relaxing the condition assumed by the authors concerning the…

高能物理 - 理论 · 物理学 2016-05-02 G. B. de Gracia , G. P. de Brito

s- and p-wave $\Lambda$ single-particle enrgies are obtained for a variety of $\Lambda$ hypernuclei from the relevant self-energy constructed within the framework of a perturbative many-body approach. Results are presented for present…

核理论 · 物理学 2007-05-23 I. Vidaña , A. Polls , A. Ramos , M. Hjorth-Jensen
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