The core idea of stochastic stability is that thermodynamic observables must be robust under small (random) perturbations of the quenched Gibbs measure. Combining this idea with the cavity field technique, which aims to measure the free energy increment under addition of a spin to the system, we sketch how to write a stochastic stability approach to diluted mean field spin glasses which explici...

This is the second of a series of three papers in which we present a rigorous analysis of Derrida’s Generalized Random Energy Models (GREM). Here we study the general case of models with a “continuum of hierarchies”. We prove the convergence of the free energy and give explicit formulas for the free energy and the two-replica distribution function in thermodynamical limit. Then we introduce the...

The shrinkage mechanisms of portland cement paste were investigated from shrinkage, weight loss, and pore structure measurements using nitrogen sorption and mercury intrusion porosimetry (MIP). Thin samples (2.3 mm) of well-hydrated (165 d) pastes of 0.4 and 0.6 water-to-cement (W/C) ratios were dried directly from saturated surface dry state to 75%, SO%, 11%, and 0% relative humidity (rh). Fro...

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...

to improve drug selectivity toward target cells, one interesting approach for drug delivery is to use polymer nanoparticles. a two-layered oniom becke3- lyp: uff calculation was carried out to study the structural and thermodynamic properties of the interaction between acetamide derivatives and the pca-peg-pca copolymers. the interaction enthalpies and the gibbs free energies between acetamide ...

We introduce quadri-tilings and show that they are in bijection with dimer models on a family of graphs R * arising from rhombus tilings. Using two height functions, we interpret a sub-family of all quadri-tilings, called triangular quadri-tilings, as an interface model in dimension 2+2. Assigning “critical” weights to edges of R *, we prove an explicit expression, only depending on the local g...