arXiv subjects

N. V. Brilliantov

Publications and source records attributed to N. V. Brilliantov.

20 records · Page 2Linked to original sources

arXiv1997

Peculiarity of the Coulombic Criticality ?

We indicate that Coulombic systems could correspond to Wilson effective Hamiltonians similar to that of the ordinary (nonionic) fluids but with a negative $ϕ^4$-coefficient. In that case, solving the ``exact'' renormalization group equation in the local potential approximation, we show that close initial Hamiltonians may lead either to a first order transition or to an Ising-like critical behavior, the partition being formed by the tri-critical surface. Hence the theoretical wavering encountered in the literature concerning the nature of the Coulombic criticality may not appear senseless.

cond-mat↗

arXiv1996

Fractal formation and ordering in random sequential adsorption

We reveal the fractal nature of patterns arising in random sequential adsorption of particles with continuum power-law size distribution, $P(R)\sim R^{α-1}$, $R \le R_{\rm max}$. We find that the patterns become more and more ordered as $α$ increases, and that the Apollonian packing is obtained at $α\to \infty $ limit. We introduce the entropy production rate as a quantitative criteria of regularity and observe a transition from an irregular regime of the pattern formation to a regular one. We develop a scaling theory that relates kinetic and structural properties of the system.

cond-mat↗