Note: Depletion potentials in non-additive asymmetric binary mixtures of hard-spheres

Estrada-Álvarez, César D.; López-Sánchez, Erik; Pérez-Ángel, Gabriel; González‐Mozuelos, P.; Méndez‐Alcaraz, J. M.; Castañeda-Priego, Ramón

doi:10.1063/1.4861220

Cited by 10 publications

(5 citation statements)

References 9 publications

(10 reference statements)

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“…Other approaches found in the existing literature for the considered regime are generally more complex and involve a higher number of parameters as compared to our model. These approaches include morphometric thermodynamics, 44,45 3rd-order virial expansions, 20 and the scaled particle theory. 46 All of these approaches result in theories with a higher number of parameters than the Asakura–Oosawa theory, making interpretation more challenging and imposing more difficulty in estimating their limits of applicability.…”

Section: Discussionmentioning

confidence: 99%

A mean-field theory for predicting single polymer collapse induced by neutral crowders

Chaboche,

Campos-Villalobos,

Giunta

et al. 2024

Soft Matter

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Section: Discussionmentioning

confidence: 99%

A mean-field theory for predicting single polymer collapse induced by neutral crowders

Chaboche,

Campos-Villalobos,

Giunta

et al. 2024

Soft Matter

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“…Other approaches found in the existing literature for the considered regime are generally more complex and involve a higher number of parameters as compared to our model. These approaches include morphometric thermodynamics, 44,45 3rd-order virial expansions, 20 and the scaled particle theory 46 . All of these approaches result in theories with a higher number of parameters than the Asakura-Oosawa theory, making interpretation more challenging and imposing more difficulty in estimating their limits of applicability.…”

Section: Discussionmentioning

confidence: 99%

A mean-field theory for predicting single polymer collapse induced by neutral crowders

Chaboche,

Campos-Villalobos,

Giunta

et al. 2023

Preprint

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Crowding by macromolecules in the surrounding environment can collapse a single long polymer to globular form through depletion forces of entropic nature. For instance, the genomic DNA of the bacterium Escherichia coli can be compacted by crowding, and the current consensus is that crowding is needed in order to fold it into the "nucleoid", occupying a well defined region of the cell. Motivated by the biological importance of this problem, numerous theoretical and computational investigations have been conducted to ascertain the primary factors influencing the phases of polymer-crowder systems. Despite numerous candidate order parameters predicting this transition have been proposed, a singular quantitative description of the collapse transition in polymers driven by the presence of crowders is still elusive. Here, integrating results from molecular simulations of polymer chains in explicit crowders, we derive a unifying phenomenological model based on an effective monomer-monomer interaction potential. We demonstrate the predictive power of the new theory through an investigation of polymers with varying lengths, crowders of different sizes in a range spanning from low-density to high-density conditions. Finally, we address the role of jamming by crowders.

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“…We could alternatively switch on a solute-solvent nonadditivity, 2,4,36 but this case is somewhat less interesting than the previous one. For example, in the case of two solute spheres of diameter σ a immersed in a one-component solvent of spheres of diameter σ 1 with σ 1a = 1 2 (σ 1 + σ a ), one can map the problem onto an additive one where the solute particles have an effective diameter σ eff a = 2σ 1a − σ 1 , provided that σ 1a ≥ 1 2 σ 1 .…”

Section: The Modelmentioning

confidence: 99%

“…This problem has been much studied for the paradigmatic case of an athermal mixture of additive hard spheres (AHS) 1 and for the more general case of nonadditive hard spheres (NAHS). [2][3][4] The problem is usually solved in a two-step procedure. Starting from the pioneering work of Asakura and Oosawa, 5 one first determines the effective pair potential, the so-called depletion entropic potential, between two "big" solute hard spheres (in three [6][7][8] or two 9 dimensions) immersed in a solvent of "small" hard spheres.…”

Section: Introductionmentioning

confidence: 99%

Depletion force in the infinite-dilution limit in a solvent of nonadditive hard spheres

Fantoni

Santos

2014

The Journal of Chemical Physics

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The mutual entropic depletion force felt by two solute "big" hard spheres immersed in a binary mixture solvent of nonadditive "small" hard spheres is calculated as a function of the surface-to-surface distance by means of canonical Monte Carlo simulations and through a recently proposed rational-function approximation [Phys. Rev. E 84, 041201 (2011)]. Four representative scenarios are investigated: symmetric solute particles and the limit where one of the two solute spheres becomes a planar hard wall, in both cases with symmetric and asymmetric solvents. In all cases, the influence on the depletion force due to the nonadditivity in the solvent is determined in the mixed state. Comparison between results from the theoretical approximation and from the simulation shows a good agreement for surface-to-surface distances greater than the smallest solvent diameter.

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Note: Depletion potentials in non-additive asymmetric binary mixtures of hard-spheres

Cited by 10 publications

References 9 publications

A mean-field theory for predicting single polymer collapse induced by neutral crowders

A mean-field theory for predicting single polymer collapse induced by neutral crowders

A mean-field theory for predicting single polymer collapse induced by neutral crowders

Depletion force in the infinite-dilution limit in a solvent of nonadditive hard spheres

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