The conventional Gibbs energy minimization methods apply elemental amounts of system components as conservation constraints in the form of a stoichiometric conservation matrix. The linear constraints designate the limitations set on the components described by the system constituents. The equilibrium chemical potentials of the constituents are obtained as a linear combination of the component-s...

We consider the soft-core Widom-Rowlinson model for particles with spins and holes, on a Cayley tree of order $d$ (which has $d + 1$ nearest neighbours), depending repulsion strength $\beta$ between different signs an activity parameter $\lambda$ particles. analyse Gibbsian properties time-evolved intermediate Gibbs measure static model, under spin-flip time evolution, in regime large $\beta$. ...

et al. Improved sexual function during recombinant human erythropoietin therapy. The effects of normal as compared with low hematocrit values in patients with cardiac disease who are receiving hemodialysis and epoetin [see comments]. Valderrabano F. Increasing the hematocrit has a beneficial effect on quality of life and is safe in selected hemodialysis patients. Spanish Cooperative Renal Patie...

This paper proposes a novel model estimationmethod, which uses nested Gibbs sampling to develop amixture-of-mixture model to represent the distribution of the model’s components with a mixture model. This model is suitable for analyzing multilevel data comprising frame-wise observations, such as videos and acoustic signals, which are composed of frame-wise observations. Deterministic procedures...

In recent years, Nigeria witnessed significant labour migration coupled with reduction in rural agricultural productivity. Youths abandoned farms for ventures with high returns and less drudgery in cities thus labour availability in peak agricultural seasons became scarce. The declining farm population constituting mostly women and old men are not capable of producing sufficient food for the no...

The Gibbs sampler is one of the most popular algorithms for inference in statistical models. In this paper, we introduce a herding variant of this algorithm, called herded Gibbs, that is entirely deterministic. We prove that herded Gibbs has an O(1/T ) convergence rate for models with independent variables and for fully connected probabilistic graphical models. Herded Gibbs is shown to outperfo...

The present work analyzes the foundations of Gibbs’ thermodynamic equilibrium theory, with the general aim of understanding how the Second Law—as formulated by Clausius in 1865—has been embodied into Gibbs’ formal system and extended to processes involving chemical reactions. We show that Gibbs’ principle of maximal entropy (and minimal energy) is the implicit expression of Clausius’ Second Law...

pluronic/bile salt/phospholipid mixed micelles (pluronic/bs/ps-mm) drug carrier system for solubilization hydrophobic drugs was developed. a typical hydrophobic compound, pyrene, was selected as a representative hydrophobic compound to model the hydrophobic drugs. five pluronics, f68, f88, f98, f108, and f127 with different ppo chain length were studied. cmc data and solubilization capacities w...