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A free-energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function is developed. The free-energy functional is used to investigate the crystallization of fluids…

Soft Condensed Matter · Physics 2015-05-13 Swarn Lata Singh , Yashwant Singh

A free-energy functional for a crystal proposed by Singh and Singh (Europhys. Lett. {\bf {88}}, 16005 (2009)) and which contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to…

Soft Condensed Matter · Physics 2015-06-11 Anubha Jaiswal , Swarn L. Singh , Yashwant Singh

A free energy functional for a crystal proposed by Singh and Singh (Europhysics Letters \textbf{88}, 16005 (2009)) which contains both the symmetry-conserved and symmetry-broken parts of the direct pair correlation function has been used to…

Soft Condensed Matter · Physics 2015-10-28 Atul S. Bharadwaj , Yashwant Singh

A free-energy functional that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the freezing of a system of hard spheres into crystalline and amorphous…

Soft Condensed Matter · Physics 2015-05-27 Swarn Lata Singh , Atul S. Bharadwaj , Yashwant Singh

A method for calculating pair correlation functions in a crystal is developed. The method is based on separating the one- and two- particle correlation functions into the symmetry conserving and the symmetry broken parts. The conserving…

Soft Condensed Matter · Physics 2015-06-19 Anubha Jaiswal , Atul S. Bharadwaj , Yashwant Singh

We develop a free energy functional for an inhomogeneous system that contains both symmetry conserved and symmetry broken parts of the direct pair correlation function. These correlation functions are found by solving the Ornstein- Zernike…

Soft Condensed Matter · Physics 2009-11-11 Pankaj Mishra , Yashwant Singh

We have calculated the pair correlation functions of a fluid interacting via the Gay-Berne(n-6) pair potentials using the \PY integral equation theory and have shown how these correlations depend on the value of n which measures the…

Soft Condensed Matter · Physics 2009-11-07 Ram C. Singh , Jokhan Ram , Yashwant Singh

Direct correlation functions (DCFs), linked to the second functional derivative of the free energy with respect to the one-particle density, play a fundamental role in a statistical mechanics description of matter. This holds in particular…

Soft Condensed Matter · Physics 2021-08-25 S. -C. Lin , M. Oettel , J. M. Hring , R. Haussmann , M. Fuchs , G. Kahl

Although the classical density functional theory (DFT) of inhomogeneous fluids was formulated more than four decades ago, its application to broken symmetry phases of molecular systems remained a challenge. Approximate free energy…

Statistical Mechanics · Physics 2026-05-19 Yashwant Singh

Effects of three-point direct correlation on properties of the phase field crystal (PFC) modeling are examined, for the control of various ordered and disordered phases and their coexistence in both three-dimensional and two-dimensional…

Materials Science · Physics 2022-04-15 Zi-Le Wang , Zhirong Liu , Wenhui Duan , Zhi-Feng Huang

We have used the density-functional theory to locate the freezing transitions and calculate the values of freezing parameters for a system of long elongated molecules which interact via the Gay-Berne pair potential. The pair correlation…

Statistical Mechanics · Physics 2007-05-23 Pankaj Mishra , Jokhan Ram , Yashwant Singh

Freezing of simple liquid metals and the relative stabilities of competing crystalline solids are investigated using thermodynamic perturbation theory, the interactions between ions being modeled by effective pair potentials derived from…

Materials Science · Physics 2009-10-31 A. R. Denton , G. Kahl , J. Hafner

We use video microscopy to follow the phase-space trajectory of a two-dimensional colloidal model liquid and calculate three-point correlation functions from the measured particle configurations. Approaching the fluid-solid transition by…

Soft Condensed Matter · Physics 2009-11-10 Klaus Zahn , Georg Maret , Carsten Russ , Hans Hennig von Grunberg

The phase field crystal (PFC) method has emerged as a promising technique for modeling materials with atomistic resolution on mesoscopic time scales. The approach is numerically much more efficient than classical density functional theory…

Materials Science · Physics 2015-05-18 Michael Greenwood , Nikolas Provatas , Jörg Rottler

Three-body distribution functions in classical fluids have been theoretically investigated many times, but have never been measured directly. We present experimental three-point correlation functions that are computed from particle…

Soft Condensed Matter · Physics 2009-11-10 Carsten Russ , Klaus Zahn , Hans-Hennig von Grunberg

By computer simulations of systems of ellipsoids, we study the influence of the isotropic/nematic phase transition on the direct correlation functions (DCF) in anisotropic fluids. The DCF is determined from the pair distribution function by…

Materials Science · Physics 2009-11-10 Nguyen H. Phuong , Friederike Schmid

We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characterizing the fluctuations of mass and momentum densities. We…

Statistical Mechanics · Physics 2023-12-05 Joel Mabillard , Pierre Gaspard

Correlation functions in the restricted primitive model are calculated within a field-theoretic approach in the one-loop self-consistent Hartree approximation. The correlation functions exhibit damped oscillatory behavior as found before in…

Soft Condensed Matter · Physics 2009-11-11 O. Patsahan , A. Ciach

The freezing transition in a classical three-dimensional system of parallel hard cubes with rounded edges is studied by computer simulation and fundamental-measure density functional theory. By switching the rounding parameter s from zero…

Soft Condensed Matter · Physics 2014-11-20 Matthieu Marechal , Urs Zimmermann , Hartmut Löwen

The properties of one-dimensional liquids are studied for several interaction potentials for which, under certain assumptions, the properties of the system admit an analytical solution. The studied potentials are the triangle-well and the…

Soft Condensed Matter · Physics 2017-10-04 Ana M. Montero
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