Biomedical subjects

P Bryk

Publications and source records attributed to P Bryk.

12 recordsLinked to original sources

PubMed2006

Density functional theory for inhomogeneous associating chain fluids.

We propose a nonlocal density functional theory for associating chain molecules. The chains are modeled as tangent spheres, which interact via Lennard-Jones (12,6) attractive interactions. A selected segment contains additional, short-ranged, highly directional interaction sites. The theory incorporates an accurate treatment of the chain molecules via the intramolecular potential formalism and should accurately describe systems with strongly varying external fields, e.g., attractive walls. Within our approach we investigate the structure of the liquid-vapor interface and capillary condensation of a simple model of associating chains with only one associating site placed on the first segment. In general, the properties of inhomogeneous associating chains depend on the association energy. Similar to the bulk systems we find the behavior of associating chains of a given length to be in between that for the nonassociating chains of the same length and that for the nonassociating chains twice as large.

Journal Article↗

PubMed2005

Density functional approach for inhomogeneous star polymer fluids.

We propose microscopic density functional theory for inhomogeneous star polymer fluids. Our approach is based on fundamental measure theory for hard spheres, and on Wertheim's first- and second-order perturbation theory for the interparticle connectivity. For simplicity we consider a model in which all the arms are of the same length, but our approach can be easily extended to the case of stars with arms of arbitrary lengths.

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PubMed2005

Density functional theory of adsorption of mixtures of charged chain particles and spherical counterions.

We propose a microscopic density functional theory to describe nonuniform ionic fluids composed of chain molecules with charged "heads" and spherical counterions. The chain molecules are modeled as freely jointed chains of hard spheres, the counterions are oppositely charged spheres of the same diameter as all segments of chain molecules. The theory is based on the approach of Yu and Wu [J. Chem. Phys. 117, 2368 (2002)] of adsorption of chain molecules and on theory of adsorption of electrolytes [O. Pizio, A. Patrykiejew, and S. Sokolowski, J. Chem. Phys. 121, 11957 (2004)]. As an application of the proposed formalism we investigate the structure and adsorption of fluids containing segments of different length in a slitlike pore.

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PubMed2005

Phase transition of short linear molecules adsorbed on solid surfaces from a density functional approach.

A microscopic density functional theory is used to investigate the adsorption of short chains on strongly attractive solid surfaces. We analyze the structure of the adsorbed fluid and investigate how the layering transitions change with the change of the chain length and with relative strength of the fluid-solid interaction. The critical temperature of the first layering transition, rescaled by the bulk critical temperature, increases slightly with an increase of the chain length. We have found that for longer chains the layering transitions within consecutive layers are shifted toward very low temperatures and that their sequence is finally replaced by a single transition.

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PubMed2004

Short chains at solid surfaces: wetting transition from a density functional approach.

A microscopic density functional theory is used to investigate the adsorption of short chains on attractive solid surfaces. We analyze the structure of the adsorbed fluid and investigate how the wetting transition changes with the change of the chain length and with the relative strength of the fluid-solid interaction. End segments adsorb preferentially in the first adsorbed layer whereas the concentration of the middle segments is enhanced in the second layer. We observe that the wetting temperature rescaled by the bulk critical temperature decreases with an increase of the chain length. For longer chains this temperature reaches a plateau. For the surface critical temperature an inverse effect is observed, i.e., the surface critical temperature increases with the chain length and then attains a plateau. These findings may serve as a quick estimate of the wetting and surface critical temperatures for fluids of longer chain lengths.

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PubMed2004

Bulk and interfacial properties of binary polymer mixtures.

A microscopic density functional theory is used to investigate a binary mixture of polymers, built of freely jointed tangent hard spheres. The difference in the chain length and in the segment diameter of polymers gives rise to a demixing transition. We evaluate the bulk fluid phase equilibria (binodal) and the limit of stability of a mixed state (spinodal) for selected systems, and analyze the decay of the critical packing fraction, critical mole fraction, and critical pressure with an increase of the chain length. The bulk results are subsequently used in the calculations of the density profiles across the fluid-fluid interface. The obtained profiles are smooth and do not exhibit any oscillations on the length scale of the segment diameter. Upon approaching the critical point the interfacial tension vanishes as (Deltarho)3, where Deltarho is the difference between bulk densities of one component in bulk phases rich and poor in that species. This indicates that the microscopic density functional theory applied here is of a mean-field type.

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PubMed2004

Solvation force for long-ranged wall--fluid potentials.

The solvation force of a simple fluid confined between identical planar walls is studied in two model systems with short ranged fluid-fluid interactions and long-ranged wall-fluid potentials decaying as -Az(-p),z--> infinity, for various values of p. Results for the Ising spins system are obtained in two dimensions at vanishing bulk magnetic field h=0 by means of the density-matrix renormalization-group method; results for the truncated Lennard-Jones (LJ) fluid are obtained within the nonlocal density functional theory. At low temperatures the solvation force f(solv) for the Ising film is repulsive and decays for large wall separations L in the same fashion as the boundary field f(solv) approximately L(-p), whereas for temperatures larger than the bulk critical temperature f(solv) is attractive and the asymptotic decay is f(solv) approximately L(-(p+1)). For the LJ fluid system f(solv) is always repulsive away from the critical region and decays for large L with the the same power law as the wall-fluid potential. We discuss the influence of the critical Casimir effect and of capillary condensation on the behavior of the solvation force.

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PubMed2003

Density functional theory and demixing of binary hard-rod-polymer mixtures.

A density functional theory for a mixture of hard rods and polymers modeled as chains built of hard tangent spheres is proposed by combining the functional due to Yu and Wu for the polymer mixtures [J. Chem. Phys. 117, 2368 (2002)] with Schmidt's functional [Phys. Rev. E 63, 50 201 (2001)] for rod-sphere mixtures. As a simple application of the functional, the demixing transition into polymer-rich and rod-rich phases is examined. When the chain length increases, the phase boundary broadens and the critical packing fraction decreases. The shift of the critical point of a demixing transition is most noticeable for short chains.

Biophysical Phenomena↗

PubMed2003

Hard-sphere fluids in contact with curved substrates.

The properties of a hard-sphere fluid in contact with hard-spherical and cylindrical walls are studied. Rosenfeld's density functional theory (DFT) is applied to determine the density profile and surface tension gamma for wide ranges of radii of the curved walls and densities of the hard-sphere fluid. Particular attention is paid to investigate the curvature dependence and the possible existence of a contribution to gamma which is proportional to the logarithm of the radius of curvature. Moreover, by treating the curved wall as a second component at infinite dilution, we provide an analytical expression for the surface tension of a hard-sphere fluid close to arbitrary hard convex walls. The agreement between the analytical expression and DFT is good. Our results show no signs for the existence of a logarithmic term in the curvature dependence of gamma.

Journal Article↗

PubMed2000

Adsorption of Fluids in Pores Formed between Two Hard Cylinders.

We study adsorption in pores with curved hard walls that are made of two uniaxial cylinders by using a density functional approach. Two cases are considered: adsorption of hard spheres and adsorption of a Lennard-Jones fluid. In the case of hard spheres, we perform a comparison with the results of grand canonical ensemble Monte Carlo data. This comparison indicates that the applied approach is capable of reproducing the fluid structure quite satisfactorily. For hard spheres, we also make a comparison of the total adsorption effect (expressed as the average density of a confined fluid) inside pores with curved walls with that evaluated for a slitlike pore. We have found that the differences between adsorption in pores with curved walls and in slits with the same wall-to-wall distance are quite low. The calculations for the Lennard-Jones fluid have been concerned with the investigation of the capillary evaporation and with the evaluation of phase diagrams for different pores, including slitlike pores. We have found that the curvature of the pore walls shifts the transition toward lower values of the chemical potential and increases slightly the value of the critical temperature in comparison with the values obtained for a slitlike pore. Copyright 2000 Academic Press.

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PubMed2000

Density-functional theory for an electrolyte confined by thin charged walls.

Results are reported for the primitive model of an electrolyte and for the solvent primitive model of an electrolyte for the case where these fluids are confined by two charged walls. When the walls are thin, the confined electrolyte inside the walls is affected by the charge on both the inside and the outside of the walls. In the case of the primitive model (PM), this system has been studied previously using a singlet integral equation. Our density-functional (DF) study is more general because the fluids inside and outside the walls are constrained to have the same chemical potential and because solvent effects are considered, albeit at a crude level. The singlet integral equation does not consider the chemical potential constraint explicitly. We find that for the low density PM, the DF and integral equation approaches yield, except for a very narrow pore, very similar results. When solvent molecules are considered, the profiles become oscillatory. The co-ion density profiles are particularily interesting because the repulsive electrostatic potential and the effect of the increased pressure in "pushing" the co-ions against the wall compete.

Electrolytes↗

PubMed1998

A Two-Dimensional Model for Equilibrium Partitioning of a Fluid Mixture through a Microporous Semipermeable Crystalline Membrane. A Monte Carlo Study.

We have considered a simple two-dimensional model for a system consisting of a two-component mixture of hard discs on one side of a microporous slit-like semipermeable membrane and one-component fluid of discs on the other side. The particles of a slit-like membrane are fixed according to either (11) or (10) crystal symmetry. The distance between these particles is chosen such that only one fluid component can permeate the membrane. Osmotic equilibrium in the system is then established. The entire system is confined, for technical convenience, to a wide slit-like pore with the membrane in the center. The walls of the wide pore are distanced from the external surfaces of the membrane to provide the bulk region where the density profiles appear to be constant. Monte Carlo canonical simulation results are presented for the density distributions of the fluid particles in the entire wide pore. We have observed that partitioning of the smaller particles essentially depends on the concentration of the larger particles on one side of the membrane. The osmotic pressure is calculated from the contact values of the density profiles on the walls of a wide pore using the contact theorem. The pressure also has been obtained via Boublik's equation of state for a mixture of hard discs using the bulk densities of species obtained from simulations. The values for the partition coefficients on the osmotic pressure are discussed. Copyright 1998 Academic Press.

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