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Related papers: Accurate effective pair potentials for polymer sol…

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Inverse methods of statistical mechanics are becoming productive tools in the design of materials with specific microstructures or properties. While initial studies have focused on solid-state design targets (e.g, assembly of colloidal…

Soft Condensed Matter · Physics 2015-12-31 Ryan B. Jadrich , Jonathan A. Bollinger , Beth A. Lindquist , Thomas M. Truskett

The penetrable-square-well (PSW) pair interaction potential is defined as $\phi (r)=\epsilon_r$ if the two interacting particles are overlapped ($r<\sigma$), $\phi(r)=-\epsilon_a$ inside a corona ($\sigma <r<\lambda$), and $\phi(r)=0$…

Soft Condensed Matter · Physics 2019-08-13 José Luis Sánchez-Tena , Andrés Santos , Pablo Pajuelo

We present a computer simulation of entangled polymer solutions at equilibrium. The chains repel each other via a soft Gaussian potential, appropriate for semi-dilute solutions at the scale of a correlation blob. The key innovation to…

Computational Physics · Physics 2017-01-10 Airidas Korolkovas , Philipp Gutfreund , Jean-Louis Barrat

Using a density functional based interface displacement model we determine the effective interaction potential between two spherical particles which are immersed in a homogeneous fluid such as the vapor phase of a one-component substance or…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , T. Bieker , S. Dietrich

This contribution briefly reviews some recent work demonstrating the partial breakdown of the colloidal fluid <--> atomic fluid analogy. The success of liquid state theory for atomic fluids stems in part from the van der Waals picture,…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis

When a colloid is mixed with a depletant such as a non-adsorbing polymer, one observes attractive effective interactions between the colloidal particles. If these particles are anisotropic, analysis of these effective interactions is…

Soft Condensed Matter · Physics 2016-09-08 Clement Law , Douglas J. Ashton , Nigel B. Wilding , Robert L. Jack

Self-avoiding walks and self-avoiding trails, two models of a polymer coil in dilute solution, have been shown to be governed by the same universality class. On the other hand, self-avoiding walks interacting via nearest-neighbour contacts…

Statistical Mechanics · Physics 2015-06-11 A. Bedini , A. L. Owczarek , T. Prellberg

Understanding and computing the entropic forces exerted by polymer chains under confinement is important for many reasons, from research to applications. However, extracting properties related to the free energy, such as the force (or…

Soft Condensed Matter · Physics 2025-07-08 Marcio S. Gomes-Filho , Eugene M. Terentjev

Effective colloid-colloid interactions can be tailored through the addition of a complex cosolute. Here we investigate the case of a cosolute made by self-assembling patchy particles. Depending on the valence, these particles can form…

Soft Condensed Matter · Physics 2019-02-08 Nicolás Ariel García , Nicoletta Gnan , Emanuela Zaccarelli

The effective interaction between two planar walls immersed in a fluid is investigated by use of Density Functional Theory in the super-critical region of the phase diagram. A hard core Yukawa model of fluid is studied with special…

Statistical Mechanics · Physics 2017-04-05 Pietro Anzini , Alberto Parola

A method for measuring the pair interaction potential between colloidal particles by extrapolation measurement of collective structure to infinite dilution is presented and explored using simulation and experiment. The method is…

Soft Condensed Matter · Physics 2015-03-17 Christopher R. Iacovella , Reginald R. Rogers , Sharon C. Glotzer , Michael J. Solomon

An outstanding problem in statistical mechanics is the determination of whether prescribed functional forms of the pair correlation function $g_2(r)$ [or equivalently, structure factor $S(k)$] at some number density $\rho$ can be achieved…

Statistical Mechanics · Physics 2022-11-28 Haina Wang , Frank H. Stillinger , Salvatore Torquato

Self-avoiding walks self-interacting via nearest neighbours (ISAW) and self-avoiding trails interacting via multiply-visited sites (ISAT) are two models of the polymer collapse transition of a polymer in dilute solution. On the square…

Statistical Mechanics · Physics 2013-02-01 A Bedini , A L Owczarek , T Prellberg

We study the thermodynamics of an exactly solvable model of a self-interacting partially directed self-avoiding walk (DSAW) in two dimensions, when a force is applied on one end of the chain. The critical force for the unfolding is…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , D. Marenduzzo , A. Maritan , F. Seno

We model a set of point-to-point transports on a network as a system of polydisperse interacting self-avoiding walks (SAWs) over a finite square lattice. The ends of each SAW may be located both at random, uniformly distributed, positions…

Statistical Mechanics · Physics 2017-04-05 Marco Cogoni , Giovanni Busonera , Gianluigi Zanetti

It has been recently argued that interacting self-avoiding walks (ISAW) of length $ \ell , $ in their low temperature phase (i.e. below the $ \Theta $-point) should have a partition function of the form: $$ Q_{\ell} \sim \mu^{ \ell}_ 0\mu^{…

Condensed Matter · Physics 2009-10-22 Bertrand Duplantier

The role of solvent quality in determining the universal material properties of dilute polymer solutions undergoing steady simple shear flow is examined. A bead-spring chain representation of the polymer molecule is used, and the influence…

Soft Condensed Matter · Physics 2020-07-03 K. Satheesh Kumar , J. Ravi Prakash

We study the dynamics of polymer chains in a bath of self-propelled particles (SPP) by extensive Langevin dynamics simulations in a two dimensional system. Specifically, we analyse the polymer looping properties versus the SPP activity and…

Soft Condensed Matter · Physics 2016-09-26 J. Shin , A. G. Cherstvy , W. K. Kim , R. Metzler

As first explained by the classic Asakura-Oosawa (AO) model, effective attractive forces between colloidal particles induced by depletion of nonadsorbing polymers can drive demixing of colloid-polymer mixtures into colloid-rich and…

Soft Condensed Matter · Physics 2021-08-27 Alan R. Denton , Wyatt J. Davis

The density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

Soft Condensed Matter · Physics 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer