#### Journal of Physics A: Mathematical and General

Journal Information

ISSN / EISSN :
03054470 / 13616447

Current Publisher: IOP Publishing (10.1088)

Total articles ≅ 21,453

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#### Latest articles in this journal

Journal of Physics A: Mathematical and General, Volume 42; doi:10.1088/1751-8113/42/48/485001

**Abstract:**We study the tailoring of structured random graph ensembles to real networks, with the objective of generating precise and practical mathematical tools for quantifying and comparing network topologies macroscopically, beyond the level of degree statistics. Our family of ensembles can produce graphs with any prescribed degree distribution and any degree-degree correlation function, its control parameters can be calculated fully analytically, and as a result we can calculate (asymptotically) formulae for entropies and complexities, and for information-theoretic distances between networks, expressed directly and explicitly in terms of their measured degree distribution and degree correlations.

Journal of Physics A: Mathematical and General, Volume 39, pp 8604-8604; doi:10.1088/0305-4470/39/29/b02

Journal of Physics A: Mathematical and General, Volume 39, pp 8604-8605; doi:10.1088/0305-4470/39/29/b03

Journal of Physics A: Mathematical and General, Volume 40, pp 5575-5584; doi:10.1088/1751-8113/40/21/009

**Abstract:**We solve the problem of discrete translocation of a polymer through a pore, driven by the irreversible, random sequential adsorption of particles on one side of the pore. Although the kinetics of the wall motion and the deposition are coupled, we find the exact steady-state distribution for the gap between the wall and the nearest deposited particle. This result enables us to construct the mean translocation velocity demonstrating that translocation is faster when the adsorbing particles are smaller. Monte-Carlo simulations also show that smaller particles gives less dispersion in the ratcheted motion. We also define and compare the relative efficiencies of ratcheting by deposition of particles with different sizes and we describe an associated “zone-refinement” process.

Journal of Physics A: Mathematical and General, Volume 39, pp 15379-15390; doi:10.1088/0305-4470/39/50/006

Journal of Physics A: Mathematical and General, Volume 39; doi:10.1088/0305-4470/39/50/l01

Journal of Physics A: Mathematical and General, Volume 39, pp 15421-15433; doi:10.1088/0305-4470/39/50/009

Journal of Physics A: Mathematical and General, Volume 39, pp 15313-15326; doi:10.1088/0305-4470/39/50/001

Journal of Physics A: Mathematical and General, Volume 39, pp 15355-15363; doi:10.1088/0305-4470/39/50/004

Journal of Physics A: Mathematical and General, Volume 39, pp 15391-15401; doi:10.1088/0305-4470/39/50/007