In his Comment [1] to my paper [2] Rutenberg notes that " the basis of my analysis of conserved scalar phase-ordering dynamics, to apply only the global conservation constraint dxψ = N, (1) is incorrect ". Because " for physical conserved systems, which evolve by mass transport, the stronger local conservation law embodied by continuity equation " ∂ψ/∂t = −∇j. (2) This question needs clarificat...

We analyze a non-reversible mean-field jump dynamics for discrete q-valued rotators and show in particular that it exhibits synchronization. The dynamics is the meanfield analogue of the lattice dynamics investigated by the same authors in [30] which provides an example of a non-ergodic interacting particle system on the basis of a mechanism suggested by Maes and Shlosman [37]. Based on the cor...

After the revolution of 1979, all of the private banks existing in Iran were nationalized and the economic system was based on public, cooperative and private sectors and banking operations were categorized in public sector. Consequently, private sector and foreign banks were bared from doing banking operations in Iran. According to the recent laws and regulations passed in Iran, the Irani...

A general principle is advanced allowing the classification of nonunique solutions to nonlinear evolution equations, corresponding to different spatio-temporal patterns. This is done by defining the probability distribution of patterns, which characterizes multiple solutions as more or less probable with respect to each other. The most probable pattern is naturally defined by the maximum of the...

In his Comment [1] to my paper [2] Rutenberg notes that " the basis of my analysis of conserved scalar phase-ordering dynamics, to apply only the global conservation constraint dxψ = N, (1) is incorrect ". Because " for physical conserved systems, which evolve by mass transport, the stronger local conservation law embodied by continuity equation " ∂ψ/∂t = −∇j. (2) This question needs clarificat...

We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove rigorous bounds (a) for the constrained free energy associated with a given cluster size distribution, considered as an order parameter, (b) for the free en...

Co3W2Si intermetallic compound was synthesized by mechanical alloying (MA) of W, Co and Si elemental powder mixtures. The phase composition of the milled products was evaluated by X-ray diffraction (XRD) analysis. Morphological evolutions were characterized by transmission electron microscopy (TEM). The results showed that high energy ball milling performed in the present work led to the format...