English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Scaling laws in spatial network formation.

Molkenthin, N., & Timme, M. (2016). Scaling laws in spatial network formation. Physical Review Letters, 117(16): 168301. doi:10.1103/PhysRevLett.117.168301.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-AD9D-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-4049-3
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Molkenthin, Nora1, Author              
Timme, Marc1, Author              
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

Content

show
hide
Free keywords: -
 Abstract: Geometric constraints impact the formation of a broad range of spatial networks, from amino acid chains folding to proteins structures to rearranging particle aggregates. How the network of interactions dynamically self-organizes in such systems is far from fully understood. Here, we analyze a class of spatial network formation processes by introducing a mapping from geometric to graph-theoretic constraints. Combining stochastic and mean field analyses yields an algebraic scaling law for the extent (graph diameter) of the resulting networks with system size, in contrast to logarithmic scaling known for networks without constraints. Intriguingly, the exponent falls between that of self-avoiding random walks and that of space filling arrangements, consistent with experimentally observed scaling of the radius of gyration of protein tertiary structures with their chain length.

Details

show
hide
Language(s): eng - English
 Dates: 2016-10-142016-10-14
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.117.168301
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review Letters
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: 5 Volume / Issue: 117 (16) Sequence Number: 168301 Start / End Page: - Identifier: -