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In part I of this contribution we have reported how the Flory-Huggins interaction parameter chi can be modeled as a function of chain length within the composition range of pair interaction between the macromolecules by means of the three…

Soft Condensed Matter · Physics 2007-05-23 Bernhard A. Wolf

Theoretical considerations based on chain connectivity and conformational variability of polymers have lead to an uncomplicated relation for the dependence of the Flory-Huggins interaction parameter, chi, on the volume fraction of the…

Soft Condensed Matter · Physics 2015-06-24 A. Schneider , N. Schuld , M. Bercea , B. A. Wolf

This is the first of two parts investigating the Flory-Huggins interaction parameter chi as a function of composition and chain length. Part I encompasses experimental and theoretical work. The former comprises the synthesis of…

Soft Condensed Matter · Physics 2007-05-23 Maria Bercea , Maria Cazacu , Bernhard A. Wolf

The Flory chi parameter is typically assumed to depend only on the temperature, T. Experimental results often require the replacement of this chi(T) by chieff, that depends also on the monomer volume fraction, phi, chieff(phi,T). Such…

Soft Condensed Matter · Physics 2009-11-07 V. A. Baulin , A. Halperin

Confined in two dimensional planes, polymer chains comprising dense monolayer solution are segregated from each other due to topological interaction. Although the segregation is inherent in two dimensions (2D), the solution may display…

Soft Condensed Matter · Physics 2022-09-26 Lei Liu , Changbong Hyeon

Flory-Huggins theory is a mean field theory for modelling the free energy of dense polymer solutions and polymer melts. In this paper we use Flory-Huggins theory as a model of a dense two dimensional self-avoiding walk confined to a square…

Statistical Mechanics · Physics 2019-05-22 F Gassoumov , EJ Janse van Rensburg

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions,…

Soft Condensed Matter · Physics 2009-11-07 Richard P. Sear

The properties of liquid dispersions, such as foams or emulsions, depend strongly on the volume fraction $\phi$ of the continuous phase. Concentrating on the example of foams, we show experimentally and theoretically that $\phi$ may be…

The quality of solvents of polymers is often described in terms of the Flory chi parameter typically assumed to depend only on the temperature, T. In certain polymer-solvent systems fitting the experimental data enforces the replacement of…

Soft Condensed Matter · Physics 2012-06-27 V. A. Baulin , A. Halperin

Physically assembled gels have promising applications in many fields because of their tunable mechanical properties. Here, we report the mechanical properties as a function of polymer volume fraction ($\phi$) for a physical gel system…

Soft Condensed Matter · Physics 2020-03-31 Satish Mishra , Rosa Maria Badani Prado , Santanu Kundu

Thermoresponsive polymers hold both fundamental and technological importance, but the essential physics driving their intriguing behavior is not wholly understood. We introduce a lattice framework that incorporates elements of Flory-Huggins…

Soft Condensed Matter · Physics 2024-03-04 Satyen Dhamankar , Michael A. Webb

The small r variation of the probability density P(r) for end-to-end separations of a -CH2CH3 capped (-OCH2CH2-)n oligomer in water is computed to be closely similar to the CH4 ... CH4 potential of mean force under the same circumstances.…

Chemical Physics · Physics 2015-05-20 Mangesh I. Chaudhari , Lawrence R. Pratt , Michael E. Paulaitis

According to the universality hypothesis, the phase behavior of different block copolymer melt models having fixed composition depends solely on two parameters: the invariant chain length $\bar{N}$ and the effective interaction parameter…

Soft Condensed Matter · Physics 2024-08-16 Artem Petrov , Hejin Huang , Alfredo Alexander-Katz

Quantum states of a two-component Fermi trapped gas are described by introducing an effective trap frequency, determined via variational techniques. Closed expressions for the contribution of a contact interaction potential to the total…

Other Condensed Matter · Physics 2009-11-10 R. Jáuregui , R. Paredes , G. Toledo Sánchez

We study the chemical potential of water as a function of charge based on perturbation theory. By calculating the electrostatic-energy fluctuations of two states (fully charged and uncharged) we are able to determine accurate values for the…

chem-ph · Physics 2008-02-03 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia

The Self-Consistent Field theory of brushes of neutral water-soluble polymers described by two-state models is formulated in terms of the effective Flory interaction parameter $\chi_{eff}(T,\phi)$ that depends on both temperature, T and the…

Soft Condensed Matter · Physics 2016-08-31 Vladimir A. Baulin , Ekaterina B. Zhulina , Avi Halperin

Interpenetrated Polymer Network (IPN) microgels of PNIPAM and PAAc have been investigated and the experimental data have been compared with theoretical models from the Flory-Rehner theory. We confirm that the swelling behavior of PNIPAM…

Soft Condensed Matter · Physics 2019-06-24 Valentina Nigro , Roberta Angelini , Monica Bertoldo , Barbara Ruzicka

Cononsolvency occurs when mixing two good solvents creates poor-solvent conditions for polymers over specific composition ranges, causing macroscopic phase separation or microscopic chain collapse. Despite its technological and biophysical…

Soft Condensed Matter · Physics 2025-09-30 Satyen Dhamankar , Michael A. Webb

Many water soluble polymers are chemically modified versions of insoluble base materials such as cellulose. A Flory-Huggins model is solved to determine the effects of heterogeneity in modification on the solubility of such polymers. It is…

Soft Condensed Matter · Physics 2009-11-13 Patrick B. Warren

A simple expression for the composition dependence of the Flory-Huggins interaction parameter of polymer/solvent systems reported earlier is used to model the demixing of polymer solutions into two liquid phases. To this end the system…

Soft Condensed Matter · Physics 2007-05-23 Sergej Stryuk , Bernhard A. Wolf
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