Behavior of information flow near criticality

Near-criticality underlies the behavior of early tumor growth.

The controlling factors that underlie the growth of tumors have often been hard to identify because of the presence in this system of a large number of intracellular biochemical parameters. Here, we propose a simplifying framework to identify the key physical parameters that govern the early growth of tumors. We model growth by means of branching processes where cells of different types can div...

Scalin behavior of multifractal-moment distributions near criticality

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL*. This is ...

High Integrated Information in Complex Networks Near Criticality

Tricritical Ising Model near criticality

The most relevant thermal perturbation of the continuous d = 2 minimal conformal theory with c = 7/10 (Tricritical Ising Model) is treated here. This model describes the scaling region of the φ universality class near the tricritical point. The problematic IR divergences of the naive perturbative expansion around conformal theories are dealt within the OPE approach developed at all orders by th...

Capillary behavior of binary liquid mixtures near criticality: Rise and kinetics.

In three different phase-separated binary liquid mixtures we have observed stationary capillary rises in which the meniscus curvature is inconsistent with the sign of the rise. This ‘‘inverted-meniscus’’ configuration occurs within approximately 50 mK of the mixture’s critical temperature and shows no sign of decay after much longer than the characteristic time for relaxation. We also report ex...