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We revisit the one-dimensional model of the symmetric simple exclusion process slowly coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary state, the large deviations functions of density and current have…

Statistical Mechanics · Physics 2024-08-07 Soumyabrata Saha , Tridib Sadhu

In this work, we study a global quadrature scheme for analytic functions on compact intervals based on function values on quasi-uniform grids of quadrature nodes. In practice it is not always possible to sample functions at optimal nodes…

Numerical Analysis · Mathematics 2022-11-28 Giacomo Cappellazzo , Wolfgang Erb , Francesco Marchetti , Davide Poggiali

The fabrication, utilisation, and efficiency of quantum technologies rely on a good understanding of quantum thermodynamic properties. Many-body systems are often used as hardware for these quantum devices, but interactions between…

Strongly Correlated Electrons · Physics 2022-04-26 Krissia Zawadzki , Amy Skelt , Irene D'Amico

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

Chemical Physics · Physics 2019-09-09 Dimitri N. Laikov

When described through a plane-wave basis set, the inclusion of exact nonlocal exchange in hybrid functionals gives rise to a singularity, which slows down the convergence with the density of sampled $k$ points in reciprocal space. In this…

Materials Science · Physics 2009-09-10 Peter Broqvist , Audrius Alkauskas , Alfredo Pasquarello

Finite size scaling for the Schr\"{o}dinger equation is a systematic approach to calculate the quantum critical parameters for a given Hamiltonian. This approach has been shown to give very accurate results for critical parameters by using…

Quantum Physics · Physics 2012-03-16 Edwin Antillon , Birgit Wehefritz-Kaufmann , Sabre Kais

Exchange hole is the principle constituent in density functional theory, which can be used to accurately design exchange energy functional and range separated hybrid functionals coupled with some appropriate correlation. Recently, density…

Materials Science · Physics 2017-09-14 Bikash Patra , Subrata Jana , Prasanjit Samal

PET requires accurate, precise, and efficient scatter correction techniques. Conventional scatter estimation typically relies on tail-fitted single-scatter simulation (SSS) strategy. However, the accuracy of tail-fitted SSS is limited, for…

This paper studies the performance of time-dependent density-functional theory (TDDFT) for calculating the dielectric function of semiconductors and insulators at finite momentum transfer, comparing against the standard Bethe-Salpeter…

Materials Science · Physics 2025-03-03 Didarul Alam , Jiuyu Sun , Carsten A. Ullrich

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

High Energy Physics - Theory · Physics 2025-04-29 Navid Abbasi , Dirk H. Rischke

We investigate fractional-charge and fractional-spin errors in range-separated density-functional theory. Specifically, we consider the range-separated hybrid (RSH) method which combines long-range Hartree-Fock (HF) exchange with a…

Chemical Physics · Physics 2017-03-08 Bastien Mussard , Julien Toulouse

From the perspective of perturbation theory, we propose a systematic procedure for the evaluation of the derivative discontinuity (DD) of the exchange-correlation energy functional in Kohn-Sham density functional theory (KS-DFT), wherein…

Chemical Physics · Physics 2013-01-17 Jeng-Da Chai , Po-Ta Chen

We present an implementation of the Heyd-Scuseria-Ernzerhof (HSE) hybrid functional within the full-potential linearized augmented-plane-wave (FLAPW) method. Pivotal to the HSE functional is the screened electron-electron interaction, which…

Materials Science · Physics 2011-11-11 Martin Schlipf , Markus Betzinger , Christoph Friedrich , Marjana Ležaić , Stefan Blügel

The reliable prediction of optical and fundamental gaps of finite size systems using density functional theory requires to account for the potential self-interaction error, which is notorious for degrading the description of charge transfer…

Chemical Physics · Physics 2016-10-26 O. S. Bokareva , M. F. Shibl , M. J. Al-Marri , T. Pullerits , O. Kühn

We present an algorithm and its parallel implementation for solving a self consistent problem as encountered in Hartree Fock or Density Functional Theory. The algorithm takes advantage of the sparsity of matrices through the use of local…

Chemical Physics · Physics 2016-07-25 Anthony Scemama , Nicolas Renon , Mathias Rapacioli

The stochastic density functional theory (DFT) [Phys. Rev. Lett. 111, 106402 (2013)] is a valuable linear scaling approach to Kohn-Sham DFT that does not rely on the sparsity of the density matrix. Linear (and often sub-linear) scaling is…

Chemical Physics · Physics 2019-02-20 Ming Chen , Roi Baer , Daniel Neuhauser , Eran Rabani

We present an algorithm for minimizing a sum of functions that combines the computational efficiency of stochastic gradient descent (SGD) with the second order curvature information leveraged by quasi-Newton methods. We unify these…

Machine Learning · Computer Science 2014-12-02 Jascha Sohl-Dickstein , Ben Poole , Surya Ganguli

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

Screened range-separated hybrid (SRSH) functionals within generalized Kohn-Sham density functional theory (GKS-DFT) have been shown to restore a general $1/(r\varepsilon)$ asymptotic decay of the electrostatic interaction in dielectric…

Computational Physics · Physics 2023-06-26 Tammo van der Heide , Bálint Aradi , Ben Hourahine , Thomas Frauenheim , Thomas A. Niehaus

We study the ultimate precision limits of a spin chain, strongly coupled to a heat bath, for measuring a general parameter and report the results for specific cases of magnetometry and thermometry. Employing a full polaron transform, we…

Quantum Physics · Physics 2026-04-21 Ali Pedram , Özgür E. Müstecaplıoğlu