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From concentration profiles to polymer osmotic equations of state

2004/11/11 by Chris I. Addison, C. I. Addison, J. P. Hansen +5
Chemistry · Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Electrostatics and Colloid Interactions #FOS: Physical sciences #Nanopore and Nanochannel Transport Studies #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0411319

Submitted to ChemPhysChem. Special issue in honour of Prof. Michele Parrinello

arxiv created 2004/11/11 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that equilibrium monomer and centre-of-mass concentration profiles of lattice polymers in a gravitational field, computed by Monte-Carlo simulations, provide an accurate and efficient road to the osmotic equation-of-state of polymer solutions, via a straightforward application of the hydrostatic equilibrium condition. The method yields the full equation of state over a wide range of concentrations from a single simulation, and does not suffer from significant finite size effects. It has been applied to self-avoiding walk polymer chains with nearest neighbour monomer attractions, from the good solvent to the theta solvent regimes. The consistency of the method has been carefully checked by varying the strength of the gravitational field.

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