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We analyze the effect of polydispersity in the arm number on the effective interactions, structural correlations and the phase behavior of star polymers in a good solvent. The effective interaction potential between two star polymers with…

Soft Condensed Matter · Physics 2009-10-31 Christian von Ferber , Arben Jusufi , Martin Watzlawek , Christos N. Likos , Hartmut Lowen

We develop a surface for the electric dipole moment of three interacting helium atoms and use it, together with state-of-the-art potential and polarizability surfaces, to compute the third dielectric virial coefficient, $C_\varepsilon$, for…

Using monomer-resolved Molecular Dynamics simulations and theoretical arguments based on the radial dependence of the osmotic pressure in the interior of a star, we systematically investigate the effective interactions between hard,…

Soft Condensed Matter · Physics 2009-10-31 A. Jusufi , J. Dzubiella , C. N. Likos , C. von Ferber , H. Loewen

A new method of estimating high-order virial coefficients for fluids composed of equal three-dimensional rigid spheres is proposed. The predicted $B_{11}$ and $B_{12}$ values are in good agreement with reliable estimates previously…

Statistical Mechanics · Physics 2014-03-07 C. C. F. Florindo , A. B. M. S. Bassi

In this work, we consider a semi-dilute solution of identical star-polymers, made of attached flexible long polymer chains of the same polymerization degree N. We first compute the effective pair-potential between star-polymers. Such a…

Soft Condensed Matter · Physics 2007-05-23 F. Benzouine , M. Yassine , A. Derouiche , A. Bettachy , M. Benhamou

We consider a model of star copolymers, based on self-avoiding walks, where the arms of the star can be chemically distinct. The copolymeric star is attached to an impenetrable surface at a vertex of unit degree and the different monomers…

Statistical Mechanics · Physics 2022-06-22 EJ Janse van Rensburg , SG Whittington

We use a path integral representation for the partition function of non-interacting anyons confined in a harmonic oscillator potential in order to prove that the third virial coefficient of free anyons is finite, and to calculate it…

Condensed Matter · Physics 2009-10-22 Jan Myrheim , Kåre Olaussen

We present large statistics simulations of 3-dimensional star polymers with up to $f=80$ arms, and with up to 4000 monomers per arm for small values of $f$. They were done for the Domb-Joyce model on the simple cubic lattice. This is a…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Walter Nadler , Peter Grassberger

We experimentally measure the osmotic pressures of linear polymers and three-, four-, and eight-arm star polymers in a good solvent via membrane osmometry. These results reveal that the osmotic equations of state in the star polymer…

Soft Condensed Matter · Physics 2023-03-20 Takashi Yasuda , Masanobu Ino , Takamasa Sakai , Naoyuki Sakumichi

We study effective three-particle interactions between valence electrons, which are induced by the core polarization. Such interactions are enhanced when valence orbitals have strong overlap with the outermost core shell, in particular for…

Atomic Physics · Physics 2016-09-28 M. G. Kozlov , M. S. Safronova , S. G. Porsev , I. I. Tupitsyn

The unitary equal-mass Fermi gas with zero-range interactions constitutes a paradigmatic model system that is relevant to atomic, condensed matter, nuclear, particle, and astro physics. This work determines the fourth-order virial…

Quantum Gases · Physics 2016-06-15 Yangqian Yan , D. Blume

The second virial coefficient and the second acoustic virial coefficient for helium-4 and helium-3 are computed for a wide range of temperatures (0.5 - 1000K) using a highly accurate nonrelativistic interaction potential [M. Przybytek et…

Multivalency is a common biological mechanism of formation of strong reversible and selective bonds by grouping weak bonds. Polymers often act as a scaffold to which multiple binding groups are attached. Here I present an analytical theory…

Soft Condensed Matter · Physics 2020-12-29 Elena Patyukova

We study the conformation and topological properties of cyclical star polymers with $f$ ring arms, each made of $n$ beads. We find that the conformational properties of unlinked cyclical star polymers are compatible to those of linear star…

Soft Condensed Matter · Physics 2024-09-04 Davide Breoni , Emanuele Locatelli , Luca Tubiana

Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the…

Statistical Mechanics · Physics 2012-07-16 M. Oncák , A. Malijevský , J. Kolafa , S. Labík

We exactly calculate the fourth virial coefficient for hard spheres in even dimensions for D=4,6,8,10, and 12.

Statistical Mechanics · Physics 2016-10-06 N. Clisby , B. M. McCoy

We propose microscopic density functional theory for inhomogeneous star polymers. Our approach is based on fundamental measure theory for hard spheres, and on Wertheim's first- and second-order perturbation theory for the interparticle…

Soft Condensed Matter · Physics 2007-05-23 A. Malijevsky , P. Bryk , S. Sokolowski

The virial expansion characterizes the high-temperature approach to the quantum-classical crossover in any quantum many-body system. Here, we calculate the virial coefficients up to the fifth-order of Fermi gases in 1D, 2D, and 3D, with…

Quantum Gases · Physics 2020-09-16 Y. Hou , J. E. Drut

In this work we used dissipative particle dynamics simulations to study the copolymerization process in the presence of spatial heterogeneities caused by incompatibility between polymerizing monomers. The polymer sequence details as well as…

Soft Condensed Matter · Physics 2017-09-26 Alexey A. Gavrilov , Alexander V. Chertovich

Polymeric films with greater impact and ballistic resistance are highly desired for numerous applications, but molecular configurations that best address this need remain subject to debate. We study the resistance to ballistic impact of…

Soft Condensed Matter · Physics 2020-09-28 Andrea Giuntoli , Nitin K. Hansoge , Sinan Keten