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There is a renewed surge in percolation-induced transport properties of diverse nano-particle composites (cf. RSC Nanoscience & Nanotechnology Series, Paul O'Brien Editor-in-Chief). We note in particular a broad interest in nano-composites…

Disordered Systems and Neural Networks · Physics 2013-09-26 Feng Shi , Simi Wang , Peter J. Mucha , M. Gregory Forest

Percolation is an emblematic model to assess the robustness of interconnected systems when some of their components are corrupted. It is usually investigated in simple scenarios, such as the removal of the system's units in random order, or…

Statistical Mechanics · Physics 2021-05-03 Oriol Artime , Manlio De Domenico

In many composites the electrical transport takes place only by tunneling between isolated particles. For a long time it was quite a puzzle how, in spite of the incompatibility of tunneling and percolation networks, these composites conform…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Toker , D. Azulay , N. Shimoni , I. Balberg , O. Millo

Percolation in complex networks is viewed as both: a process that mimics network degradation and a tool that reveals peculiarities of the underlying network structure. During the course of percolation, networks undergo non-trivial…

Physics and Society · Physics 2019-02-05 Ivan Kryven

Liquid diodes are surface structures that facilitate the flow of liquids in a specific direction. When these structures are within the capillary regime, they promote liquid transport without the need for external forces. In nature, they are…

Soft Condensed Matter · Physics 2023-08-24 Camilla Sammartino , Yair Shokef , Bat-El Pinchasik

We mimic nanorod-based transparent electrodes as random resistor networks (RRN) produced by the homogeneous, isotropic, and random deposition of conductive zero-width sticks onto an insulating substrate. We suppose that the number density…

Disordered Systems and Neural Networks · Physics 2022-04-25 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

$k$-core percolation is a percolation model which gives a notion of network functionality and has many applications in network science. In analysing the resilience of a network under random damage, an extension of this model is introduced,…

Disordered Systems and Neural Networks · Physics 2013-02-22 Davide Cellai , Aonghus Lawlor , Kenneth A. Dawson , James P. Gleeson

Despite the recent advances in developing more effective thresholding methods to convert weighted networks to unweighted counterparts, there are still several limitations that need to be addressed. One such limitation is the inability of…

Quantitative Methods · Quantitative Biology 2017-12-04 Farnaz Zamani Esfahlani , Hiroki Sayama

In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology and sociology, from the perspective of the heterogeneous interaction patterns of components…

Physics and Society · Physics 2021-04-20 Ming Li , Run-Ran Liu , Linyuan Lü , Mao-Bin Hu , Shuqi Xu , Yi-Cheng Zhang

We have studied the electrical conductivity of two-dimensional nanowire networks. An analytical evaluation of the contribution of tunneling to their electrical conductivity suggests that it is proportional to the square of the wire…

Mesoscale and Nanoscale Physics · Physics 2020-03-23 Irina V. Vodolazskaya , Andrei V. Eserkepov , Renat K. Akhunzhanov , Yuri Yu. Tarasevich

We have proposed an analytical model for the electrical conductivity in random, metallic, nanowire networks. We have mimicked such random nanowire networks as random resistor networks (RRN) produced by the homogeneous, isotropic, and random…

Statistical Mechanics · Physics 2022-05-24 Yuri Yu. Tarasevich , Irina V. Vodolazskaya , Andrei V. Eserkepov

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

We describe a percolation problem on lattices (graphs, networks), with edge weights drawn from disorder distributions that allow for weights (or distances) of either sign, i.e. including negative weights. We are interested whether there are…

Disordered Systems and Neural Networks · Physics 2009-11-13 O. Melchert , A. K. Hartmann

Percolation phenomena are investigated and discussed in three kinds of nanostructures: first two are nanocrystalline silicon-based systems, Si nanodots embedded in amorphous SiO2 matrix and porous silicon formed by an oxidized nanowire…

Mesoscale and Nanoscale Physics · Physics 2011-06-23 I. Stavarache

We investigate how temperature affects transport through large networks of nonlinear conductances with distributed thresholds. In monolayers of weakly-coupled gold nanocrystals, quenched charge disorder produces a range of local thresholds…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raghuveer Parthasarathy , Xiao-Min Lin , Klara Elteto , T. F. Rosenbaum , Heinrich M. Jaeger

Structural disorder is present in almost all experimental measurements of electronic transport through single molecules or molecular wires. To assess its influence on the conductance is computationally demanding, because a large number of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. Maul , W. Wenzel

Recent work on the internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes. Such deletions include, for example, the failure of internet routers or…

Statistical Mechanics · Physics 2009-10-31 D. S. Callaway , M. E. J. Newman , S. H. Strogatz , D. J. Watts

Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in- and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Schwartz , R. Cohen , D. ben-Avraham , A. -L. Barabasi , S. Havlin

Numerical modeling of electrodynamic aggregation is carried out for a random ensemble of magnetized nanodust taken as a many body system of strongly magnetized thin rods (i.e., one-dimensional static magnetic dipoles), which possess…

Computational Physics · Physics 2009-01-14 A. B. Kukushkin , N. L. Marusov , V. S. Neverov , I. B. Semenov , K. V. Cherepanov , P. V. Minashin

Mechanical strain is a powerful technique for tuning electronic structure and interactions in quantum materials. In a system with tetragonal symmetry, a tunable uniaxial in-plane strain can be used to probe nematic correlations in the same…