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Solutions of interacting linear polymers are mapped onto a system of ``soft'' spherical particles interacting via an effective pair potential. This coarse-graining reduces the individual monomer-level description to a problem involving only…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , J. P. Hansen , A. A. Louis

This thesis introduces a framework that is able to describe general many-body coarse-grained interactions. We make use of this to describe the free energy surface as a cluster expansion in terms of monomer, dimer, and trimer terms. The…

Soft Condensed Matter · Physics 2017-09-29 S. T. John

Dilute or semi-dilute solutions of non-intersecting self-avoiding walk (SAW) polymer chains are mapped onto a fluid of ``soft'' particles interacting via an effective pair potential between their centers of mass. This mapping is achieved by…

Soft Condensed Matter · Physics 2009-10-31 P. G. Bolhuis , A. A. Louis , J. P. Hansen , E. J. Meijer

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 propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji

We perform simulations to compute the effective potential between the centers-of-mass of two polymers with reversible bonds. We investigate the influence of the topology of the unbonded precursor (linear or ring) and the specific sequence…

Soft Condensed Matter · Physics 2022-05-04 Mariarita Paciolla , Christos N. Likos , Angel J. Moreno

We derive and introduce anisotropic effective pair potentials to coarse-grain solutions of semiflexible rings polymers of various lengths. The system has been recently investigated by means of full monomer-resolved computer simulations,…

Soft Condensed Matter · Physics 2015-07-21 Peter Poier , Christos N. Likos , Angel J. Moreno , Ronald Blaak

We employ monomer-resolved computer simulations of model dendrimer molecules, to examine the significance of many-body effects in concentrated solutions of the same. In particular, we measure the radial distribution functions and the…

Soft Condensed Matter · Physics 2007-05-23 I. O. Götze , C. N. Likos

We describe a general simulation scheme for assessing the thermodynamic consequences of neglecting many-body effects in coarse-grained models of complex fluids. The method exploits the fact that the asymptote of a simple-to-measure…

Soft Condensed Matter · Physics 2014-03-19 Douglas J. Ashton , Nigel B. Wilding

Effective field theories (EFTs) are widely used to study many-body systems by describing two-body interactions using zero-ranged contact potentials. However, when extended to three-body processes, these contact interactions lead to…

Quantum Gases · Physics 2026-03-02 Corinne Beckers , Jacques Tempere , Jeff Maki , Denise Ahmed-Braun

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new,…

Nuclear Theory · Physics 2010-11-19 Alexandros Gezerlis , G. F. Bertsch

A relationship between the measurable monomer-monomer structure factor, and the centre-of-mass (CM) structure factor of dilute or semi-dilute polymer solutions is derived from Ornstein-Zernike relations within the ``polymer reference…

Soft Condensed Matter · Physics 2009-11-07 V. Krakoviack , J. P. Hansen , A. A. Louis

Simulation studies of the phase diagram of repulsive active Brownian particles in three dimensions reveal that the region of motility-induced phase separation between a high and low density phase is enclosed by a region of gas-crystal phase…

Statistical Mechanics · Physics 2021-01-27 Francesco Turci , Nigel B. Wilding

We study the scaling properties of polymers in a d-dimensional medium with quenched defects that have power law correlations ~r^{-a} for large separations r. This type of disorder is known to be relevant for magnetic phase transitions. We…

Soft Condensed Matter · Physics 2009-11-07 Victoria Blavats'ka , Christian von Ferber , Yurij Holovatch

A three-body potential function can account for interactions among triples of particles which are uncaptured by pairwise interaction functions such as Coulombic or Lennard-Jones potentials. Likewise, a multibody potential of order $n$ can…

Computational Physics · Physics 2015-05-28 Dongryeol Lee , Arkadas Ozakin , Alexander G. Gray

We systematically studied the validity and transferability of effective, coarse-grained, pair potentials in ultrasoft colloidal systems. We focused on amphiphilic dendrimers, macromolecules which can aggregate into clusters of overlapping…

Soft Condensed Matter · Physics 2018-02-01 Marta Montes-Saralegui , Gerhard Kahl , Arash Nikoubashman

We are concerned with few-particle correlations in a fermionic system at finite temperature and density. Within the many-body Green functions formalism the description of correlations is provided by the Dyson equation approach that leads to…

Nuclear Theory · Physics 2007-05-23 S. A. Sofianos , M. Beyer

We introduce and implement a Monte Carlo scheme to study the equilibrium statistics of polymers in the globular phase. It is based on a model of "interacting elastic lattice polymers" and allows a sufficiently good sampling of long and…

Statistical Mechanics · Physics 2014-06-25 M. Baiesi , E. Orlandini

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

Many-body interactions in water are known to be important but difficult to treat in atomistic models and often are included only as a correction. Polarizable models treat them explicitly, with long-range many-body potentials, within their…

Chemical Physics · Physics 2023-02-21 David Abella , Giancarlo Franzese , Javier Hernández-Rojas
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