In the present paper the three state Potts model with competing binary interactions (with couplings J and Jp) on the second order Bethe lattice is considered. The recurrent equations for the partition functions are derived. When Jp = 0, by means of a construction of a special class of limiting Gibbs measures, it is shown how these equations are related with the surface energy of the Hamiltonian...

Processing the experimental tie-lines in the miscibility gap of the Ba-Cu-Y ternary liquid alloys coupled with the Gibbs energies of the Ba-Cu and Cu-Y binaries estimated earlier has led to description of the Gibbs energy of the ternary melt and to the complete ternary phase diagram. The transformation of an open triangular simplex to the plane that can ease significantly optimization and calcu...

In this study, the mean-field Ising model, using the Bogolyubov inequality which has been obtained in the framework of the generalized statistical thermodynamics (GST), and is suitable for nonextensive systems, has been investigated. Generalized expressions for the mean-field magnetization and free energy have been established. These new results have been verified by the fact that they transfor...

The two main themes of this study aim to resolve conflicting results in the literature regarding the thermodynamics of flat (uniform thickness) thin liquid films. One of the themes concerns the augmented Young equation, which is a condition for mechanical equilibrium. Two different expressions for the augmented Young equation have appeared in the literature. It is shown that under certain assum...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...

palladium (ii) coordination complexes catalyze the reaction of alcohols with ketones to yield ethers. during the catalytic cycle, the alcohol adds selectively to the β-carbon (anti-markovnikov). in this work, mechanism and kinetics for the reaction of methanol with methyl vinyl ketone (mvk), being catalyzed by pd, has been theoretically investigated in detail. using quantum mechanical approach,...

the doping reaction of truncated boron nitride and carbon nanotubes with aluminium atom wastheoretically investigated. the am1, pm3, and pm6 semiempirical methods have been used toevaluate the thermochemistry of doping reactions of single walled boron nitride nanotubes andcarbon nanotubes. the enthalpy changes, gibbs free energy changes, and entropy changes of studieddoping reactions were evalu...

1. The Physics of Information 2 2. Thermodynamics 4 2.1. The laws 5 2.2. Free energy 8 3. Statistical mechanics 9 3.1. Definitions and postulates 10 3.2. Counting microstates for a system of magnetic spins 11 3.3. The Maxwell-Boltzmann-Gibbs distribution 12 3.4. Free energy revisited 13 3.5. Gibbs entropy 13 4. Nonlinear dynamics 15 4.1. The ergodic hypothesis 16 4.2. Chaos and limits to predic...

In this paper we translate Talagrand’s solution of the K-sat model at high temperature into the language of asymptotic Gibbs measures. Using exact cavity equations in the infinite volume limit allows us to remove many technicalities of the inductions on the system size, which clarifies the main ideas of the proof. This approach also yields a larger region of parameters where the system is in a ...