In this paper, we calculate the energy spectrum of interacting gases by converting cluster expansion method in statistical mechanics into a solving eigenvalues. We obtain an explicit expression eigenvalue, which can eigenvalue gas from interparticle potential directly. As example, for with soft-sphere potentials.

Ruthenium nanoparticles (2.12 ± 0.72 nm in diameter) were stabilized by the self-assembly of alkyne molecules (from 1-hexyne to 1-hexadecyne) onto the Ru surface by virtue of the formation of Ru-vinylidene interfacial linkages. Infrared measurements depicted three vibrational bands at 2050 cm(-1), 1980 cm(-1) and 1950 cm(-1), which were ascribed to the vibrational stretches of the terminal trip...

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use scaling solution method comprising time-dependent function to analytically examine the dynamics falling in different regimes propagation including expansion and compression zones. Our model based on Gross--Pitaevskii equation which involves interparticle interactions between atoms and, consequently...

The paper presents a numerical method to simulate singleand multi-component fluid flows around moving/deformable solid boundaries, based on the coupling of Immersed Boundary (IB) and Lattice Boltzmann (LB) methods. The fluid domain is simulated with LB method using the single relaxation time BGK model, in which an interparticle potential model is applied for multi-component fluid flows. The IB-...

We investigated cluster formation in model colloids where the interparticle potential beyond the collision diameter includes a short-ranged attraction and a longer-ranged repulsion. The structure and thermodynamic properties of the model system can be accurately described by the first-order mean-spherical approximation (FMSA) and a perturbation theory for bulk phases and by a nonlocal density-f...

Matrix-type composite particle for controlled drug release can readily be prepared through a totally dry process by simple anaerobic mechanical vibration of mechanoradical-containing ethylcellulose (EC) with theophylline powder due to occurrence of collision-induced radical-radical coupling reaction to form interparticle matrices, as well as the formation of interparticle network when solid-sta...

The response of gold nanoparticle dimers is studied theoretically near and beyond the limit where the particles are touching. As the particles approach each other, a dominant dipole feature is observed that is pushed into the infrared due to interparticle coupling and that is associated with a large pileup of induced charge in the interparticle gap. The redshift becomes singular as the particle...

One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle potential is introduced. The correction to the GPE predictions for the energy of a condensate conf...

Theoretical studies of self-assembly processes and condensed phases in colloidal systems are often based on effective interparticle potentials. Here we show that developing an effective potential for particles interacting with a limited number of "lock-and-key" selective bonds (due to the specificity of biomolecular interactions) requires-in addition to the nonsphericity of the potential-a (man...

Important optical properties of discrete pairs of DNA tethered gold nanoparticles, including their scattering cross-section and resonance wavelength, depend both on the dimer structure and the refractive index of their immediate environment. We show that far-field polarization microscopy aids the optical identification and interpretation of structural changes including hinge motions and nanosca...