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Based on the path integral representation of the partition function of a many body system with separable two body interaction we propose a systematic extension of the perturbed static path approximation (PSPA) to lower temperatures.…

Statistical Mechanics · Physics 2009-11-07 Christian Rummel , Joachim Ankerhold

We extend the previously proposed one-parameter double-hybrid density-functional theory [K. Sharkas, J. Toulouse, and A. Savin, J. Chem. Phys. 134, 064113 (2011)] to meta-generalized-gradient-approximation (meta-GGA) exchange-correlation…

Chemical Physics · Physics 2014-02-27 Sidi Ould Souvi , Kamal Sharkas , Julien Toulouse

We demonstrate the existence of different density-density functionals designed to retain selected properties of the many-body ground state in a non-interacting solution starting from the standard density functional theory ground state. We…

Other Condensed Matter · Physics 2009-11-13 F. A. Reboredo , P. R. C. Kent

We derive a closed-form expression for the orthogonal polynomials associated with the general lognormal density. The result can be utilized to construct easily computable approximations for probability density function of a product of…

Information Theory · Computer Science 2016-11-17 Zhong Zheng , Lu Wei , Jyri Hämäläinen , Olav Tirkkonen

Liquid-liquid phase separation underlies phenomena ranging from protein condensate formation to the phase coexistence of synthetic polymers. Although the random phase approximation (RPA) is widely used to predict such phase behavior, its…

Soft Condensed Matter · Physics 2026-05-05 Kiyoharu Kawana , Kyosuke Adachi

The knowledge of a series expansion of the equation of state provides a deep insight into the physical nature of a quantum system. Starting from a generic ``perturbative'' equation of state of a homogeneous ultracold gas we make predictions…

Strongly Correlated Electrons · Physics 2009-11-11 G. E. Astrakharchik

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

Materials Science · Physics 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

Materials Science · Physics 2013-03-04 Thomas Olsen , Kristian S. Thygesen

The random phase approximation (RPA) and the $GW$ approximation share the same total energy functional but RPA is defined on a restricted domain of Green's functions determined by a local Kohn-Sham (KS) potential. In this work, we perform…

Materials Science · Physics 2025-08-26 Thomas Pitts , Damian Contant , Maria Hellgren

Self-Consistent RPA is extended in a way so that it is compatable with a variational ansatz for the ground state wave function as a fermionic many-body vacuum. Employing the usual equation of motion technique, we arrive at extended RPA…

Nuclear Theory · Physics 2015-05-20 Mohsen Jemai , Peter Schuck

We present a method to apply the well-known matrix product state (MPS) formalism to partially separable states in solid state systems. The computational effort of our method is equal to the effort of the standard density matrix…

Quantum Physics · Physics 2013-12-02 A. Gabriel , V. Murg , B. C. Hiesmayr

Equilibrium polyethylene crystal structure, cohesive energy, and elastic constants are calculated by density-functional theory applied with a recently proposed density functional (vdW-DF) for general geometries [Phys. Rev. Lett. 92, 246401…

Materials Science · Physics 2009-11-11 Jesper Kleis , Bengt I. Lundqvist , David C. Langreth , Elsebeth Schroder

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon

The ground state equilibrium properties of copper-gold alloys have been explored with the state of art random phase approximation (RPA). Our estimated lattice constants agree with the experiment within a mean absolute percentage error…

Materials Science · Physics 2019-07-31 Niraj K. Nepal , Santosh Adhikari , Jefferson E. Bates , Adrienn Ruzsinszky

Density-functional theory is utilized to investigate the zero-temperature transition from a Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in a one-component, spin-polarized, two-dimensional dipolar…

Quantum Gases · Physics 2015-08-14 B. P. van Zyl , W. Kirkby , W. Ferguson

The surface tension of interacting polymers in a good solvent is calculated theoretically and by computer simulations for a planar wall geometry and for the insertion of a single colloidal hard-sphere. This is achieved for the planar wall…

Soft Condensed Matter · Physics 2016-08-31 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

Copulas allow a flexible and simultaneous modeling of complicated dependence structures together with various marginal distributions. Especially if the density function can be represented as the product of the marginal density functions and…

Methodology · Statistics 2020-08-31 Jae Youn Ahn , Sebastian Fuchs , Rosy Oh

An expression for the dynamic density response function has been obtained for an interacting quantum gas in Random Phase Approximation (RPA) including first order self and exchange contribution. It involves the single particle wave…

Quantum Gases · Physics 2015-05-30 Renu Bala , J. Bosse , K. N. Pathak

Thermoresponsive polymers hold both fundamental and technological importance, but the essential physics driving their intriguing behavior is not wholly understood. We introduce a lattice framework that incorporates elements of Flory-Huggins…

Soft Condensed Matter · Physics 2024-03-04 Satyen Dhamankar , Michael A. Webb
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