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Compact and accurate wave functions can be constructed by quantum Monte Carlo methods. Typically, these wave functions consist of a sum of a small number of Slater determinants multiplied by a Jastrow factor. In this paper we study the…

Condensed Matter · Physics 2009-10-30 Chien-Jung Huang , C. J. Umrigar , M. P. Nightingale

We examine the nanoscale behavior of an equilibrium three-phase contact line in the presence of long-ranged intermolecular forces by employing a statistical mechanics of fluids approach, namely density functional theory (DFT) together with…

Fluid Dynamics · Physics 2014-08-05 Andreas Nold , David N. Sibley , Benjamin D. Goddard , Serafim Kalliadasis

The two-fermion two-point correlation function in the pairing channel is discussed in the equation of motion framework. Starting from the bare two-fermion interaction, we derive the equation of motion for the two-fermion pair propagator in…

Nuclear Theory · Physics 2020-11-17 Elena Litvinova , Peter Schuck

Mode-coupling theory (MCT) is conjectured to be a mean-field description of dynamics of the structural glass transition and the replica theory to be its thermodynamic counterpart. However, the relationship between the two theories remains…

Soft Condensed Matter · Physics 2015-05-18 Atsushi Ikeda , Kunimasa Miyazaki

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function,…

Nuclear Theory · Physics 2026-03-11 Sheng Xiao , Yijie Wang , Zhigang Xiao

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

This paper presents a comparison of the predictions for the 2 and 3-point correlation functions of density fluctuations, xi_2 and xi_3, in gravitational perturbation theory (PT) against large Cold Dark Matter (CDM) simulations. This…

Astrophysics · Physics 2009-11-07 J. Barriga , E. Gaztanaga

In this thesis, we focus on the fluctuations and correlations of the collective observables such as the mean transverse momentum per particle ($[p_T]$) and harmonic flow coefficients ($v_n$) of particles produced in the ultrarelativistic…

Nuclear Theory · Physics 2025-05-20 Rupam Samanta

The freezing transition of hard spheres has been well described by various versions of density-functional theory (DFT). These theories should possess the close-packed crystal as a special limit, which represents an extreme testing ground…

Soft Condensed Matter · Physics 2009-10-31 Benito Groh , Bela Mulder

Mode-coupling theory (MCT) constitutes one of the few first-principles-based approaches to describe the physics of the glass transition, but the theory's inherent approximations compromise its accuracy in the activated glassy regime. Here…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

The mode-coupling theory of the glass transition (MCT) has been at the forefront of fundamental glass research for decades, yet the theory's underlying approximations remain obscure. Here we quantify and critically assess the effect of each…

Statistical Mechanics · Physics 2023-11-29 I. Pihlajamaa , V. E. Debets , C. C. L. Laudicina , L. M. C. Janssen

Dynamic density functional theory (DDFT) is a promising approach for predicting the structural evolution of a drying suspension containing one or more types of colloidal particles. The assumed free-energy functional is a key component of…

Soft Condensed Matter · Physics 2022-11-23 Mayukh Kundu , Michael P. Howard

In a recent work [D. Malpetti and T. Roscilde, arXiv:1605.04223] we have shown that in quantum many-body systems at finite temperature, two-point correlations can be formally separated into a thermal part, and a quantum part -- and that…

Statistical Mechanics · Physics 2017-02-15 Daniele Malpetti , Tommaso Roscilde

We show in detail how three one-body fluctuation profiles, namely the local compressibility, the local thermal susceptibility, and the reduced density, can be obtained from a statistical mechanical many-body description of classical…

Statistical Mechanics · Physics 2026-04-08 Tobias Eckert , Nex C. X. Stuhlmüller , Florian Sammüller , Matthias Schmidt

This paper formalizes the use of integral and differential cumulants for measurements of multi-particle event-by-event transverse momentum fluctuations, rapidity fluctuations, as well as net charge fluctuations. This enables the…

High Energy Physics - Experiment · Physics 2023-10-12 Claude Pruneau , Victor Gonzalez , Ana Marin , Sumit Basu

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

We perform large-scale Quantum Monte Carlo (QMC) simulations for strongly interacting bosons in a 2D optical lattice trap, and confirm an excellent agreement with the benchmarking in-situ density measurements by the Chicago group [1]. We…

Quantum Gases · Physics 2011-03-16 Shiang Fang , Chia-Ming Chung , Ping Nang Ma , Pochung Chen , Daw-Wei Wang

We give an introductory account of the recent hyperdensity functional theory for the equilibrium statistical mechanics of soft matter systems [F. Samm\"uller et al., Phys. Rev. Lett. 133, 098201 (2024); 10.1103/PhysRevLett.133.098201].…

Soft Condensed Matter · Physics 2025-02-27 Florian Sammüller , Matthias Schmidt

Many-body densities and correlation functions are of paramount importance for understanding quantum many-body physics. Here, we present a method to compute them; our approach is general and based on the action of bosonic or fermionic…

Quantum Gases · Physics 2021-02-23 Camille Lévêque , Fritz Diorico , Jörg Schmiedmayer , Axel U. J. Lode

A classical density functional theory is applied to study solvation of solutes in water. An approx- imate form of the excess functional is proposed for water. This functional requires the knowledge of pure solvent direct correlation…

Chemical Physics · Physics 2014-09-01 Guillaume Jeanmairet