arXiv subjects

Jose S. Andrade

Publications and source records attributed to Jose S. Andrade.

2 recordsLinked to original sources

arXiv2016

Itinerant conductance in fuse-antifuse networks

We report on a novel dynamic phase in electrical networks, in which current channels perpetually change in time. This occurs when the individual elements of the network are fuse-antifuse devices, namely, become insulators within a certain finite interval of local applied voltages. As a consequence, the macroscopic current exhibits temporal fluctuations which increase with system size. We determine the conditions under which this exotic situation appears by establishing a phase diagram as a function of the applied field and the size of the insulating window. Besides its obvious application as a versatile electronic device, due to its rich variety of behaviors, this network model provides a possible description for particle-laden flow through porous media leading to dynamical clogging and reopening of the local channels in the pore space.

cond-mat.dis-nn↗

arXiv2008

How to make a fragile network robust and vice versa

We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-γ}$. The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$ through $p_{ij}\propto(k_{i}k_{j})^{-α}$. By varying the exponent $α$, we interpolate between random ($α=0$) and systematic failure. For $α>0 $ ($<0$) the most (least) connected nodes are depreciated first. This topological bias introduces a characteristic scale in $P(k)$ of the depreciated network, marking a crossover between two distinct power laws. The critical percolation threshold, at which global connectivity is lost, depends both on $γ$ and on $α$. As a consequence, network robustness or fragility can be controlled through fine tuning of the topological bias in the failure process.

cond-mat.dis-nn↗