Particle systems with weakly attractive interaction
نویسندگان
چکیده
Abstract. Systems of classical continuous particles in the grand canonical ensemble interacting through purely attractive, yet stable, interactions are defined. By a lattice approximation, FKG ferromagnetic inequalities are shown to hold for such particle systems. Using these inequalities, a construction of the infinite volume measures is given by a monotonicity and upper bound argument. Invariance under Euclidean transformations is proven for the infinite volume measures. The construction works for arbitrary activity and temperature and for integrable long range interactions. Also, inhomogeneous systems of particles with different ”charge” can be treated.
منابع مشابه
Scaling of the viscoelasticity of weakly attractive particles
The rheological data of weakly attractive colloidal particles are shown to exhibit a surprising scaling behavior as the particle volume fraction, straight phi, or the strength of the attractive interparticle interaction, U, are varied. There is a critical onset of a solid network as either straight phi or U increase above critical values. For all solidlike samples, both the frequency-dependent ...
متن کاملColloidal gelation of oppositely charged particles†
Colloidal gelation has been extensively studied for the case of purely attractive systems, but little is understood about how colloidal gelation is affected by the presence of repulsive interactions. Here we demonstrate the gelation of a binary system of oppositely charged colloids, in which repulsive interactions compete with attractive interactions. We observe that gelation is controlled by v...
متن کاملSolvation in supercritical water *
Cochran, H.D., Cummings, P.T. and Karaborni, S., 1992. Solvation in supercritical water. Fluid Phase Equilibria, 71: 1-16. The aim of this work is to determine the solvation structure in supercritical water compared with that in ambient water and in simple supercritical solvents. Molecular dynamics studies have been undertaken of systems that model ionic sodium and chloride, atomic argon, and m...
متن کاملLennard-Jones Energy Parameter for Pure Fluids from Scaled Particle Theory
By considering the fact that the surface tension of a real fluid arises from a combination of both repulsive and attractive forces between molecules, a new expression for the interfacial tension has been derived from scaled particle theory (SPT) based on the work of cavity formation and the interaction energy between molecules. At the critical temperature, the interfacial tension between c...
متن کاملA new mechanism for dendritic pattern formation in dense systems
Patterns are often formed when particles cluster: Since patterns reflect the connectivity of different types of material, the emergence of patterns affects the physical and chemical properties of systems and shares a close relationship to their macroscopic functions. A radial dendritic pattern (RDP) is observed in many systems such as snow crystals, polymer crystals and biological systems. Alth...
متن کامل