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Title: Logic operations with active topological defects

Journal Article · · Science Advances
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. University of Chicago, IL (United States); Hong Kong University of Science and Technology (HKUST) (Hong Kong)
  2. University of Chicago, IL (United States); OpenEye Scientific Software, Inc., Santa Fe, NM (United States)
  3. University of Chicago, IL (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Logic operations performed by semiconductor-based transistors are the basis of modern computing. There is considerable interest in creating autonomous materials systems endowed with the capability to make decisions. In this work, we introduce the concept of using topological defects in active matter to perform logic operations. When an extensile active stress in a nematic liquid crystal is turned on, +1/2 defects can self-propel, in analogy to electron transport under a voltage gradient. By relying on hydrodynamic simulations of active nematics, we demonstrate that patterns of activity, when combined with surfaces imparting certain orientations, can be used to control the formation and transport of +1/2 defects. We further show that asymmetric high- and low-activity patterns can be used to create effective defect gates, tunnels, and amplifiers. The proposed active systems offer the potential to perform computations and transmit information in active soft materials, including actin-, tubulin-, and cell-based systems.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
National Science Foundation (NSF); Research Grants Council (RGC); USDOE
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2469982
Journal Information:
Science Advances, Journal Name: Science Advances Journal Issue: 8 Vol. 8; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English

References (52)

High-Resolution and High-Throughput Plasmonic Photopatterning of Complex Molecular Orientations in Liquid Crystals journal January 2016
Flexible and Stretchable Devices journal June 2016
Soft Robotics journal March 2018
Spontaneous motion in hierarchically assembled active matter journal November 2012
Dynamic structure of active nematic shells journal November 2016
Active matter logic for autonomous microfluidics journal April 2017
Topological defects in liquid crystals as templates for molecular self-assembly journal September 2015
Remote control of myosin and kinesin motors using light-activated gearshifting journal August 2014
Synchronous universal droplet logic and control journal June 2015
Ferromagnetic and antiferromagnetic order in bacterial vortex lattices journal January 2016
Curvature-induced defect unbinding and dynamics in active nematic toroids journal October 2017
Taming active turbulence with patterned soft interfaces journal September 2017
Active nematics journal August 2018
Spatiotemporal control of liquid crystal structure and dynamics through activity patterning journal February 2021
Topological chaos in active nematics journal August 2019
Polar jets of swimming bacteria condensed by a patterned liquid crystal journal March 2020
Autonomous materials systems from active liquid crystals journal February 2021
Theory of defect motion in 2D passive and active nematic liquid crystals journal January 2019
Interplay between shear flow and elastic deformations in liquid crystals journal January 2004
The Physics of Liquid Crystals journal May 1995
Lattice Boltzmann simulation of asymmetric flow in nematic liquid crystals with finite anchoring journal February 2016
Living liquid crystals journal January 2014
Nanoparticle self-assembly at the interface of liquid crystal droplets journal April 2015
Control of active liquid crystals with a magnetic field journal May 2016
Interplay of structure, elasticity, and dynamics in actin-based nematic materials journal December 2017
Data-driven quantitative modeling of bacterial active nematics journal December 2018
Self-organized dynamics and the transition to turbulence of confined active nematics journal February 2019
Submersed micropatterned structures control active nematic flow, topology, and concentration journal September 2021
Landau–de Gennes modelling of nematic liquid crystal colloids journal August 2009
Thermodynamics of Flowing Systems: with Internal Microstructure book August 1994
Lattice Boltzmann algorithm for three–dimensional liquid–crystal hydrodynamics
  • Denniston, C.; Marenduzzo, D.; Orlandini, E.
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 362, Issue 1821 https://doi.org/10.1098/rsta.2004.1416
journal June 2004
Alignment of a topological defect by an activity gradient journal February 2021
Lattice Boltzmann simulations of liquid crystal hydrodynamics journal April 2001
Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations journal September 2007
Edge pinning and transformation of defect lines induced by faceted colloidal rings in nematic liquid crystals journal June 2016
Defect Annihilation and Proliferation in Active Nematics journal May 2013
Velocity Correlations in an Active Nematic journal September 2013
Nematic-Field-Driven Positioning of Particles in Liquid Crystal Droplets journal November 2013
Experimental Insights into the Nanostructure of the Cores of Topological Defects in Liquid Crystals journal April 2016
Defect Spirograph: Dynamical Behavior of Defects in Spatially Patterned Active Nematics journal June 2021
The geometry of soft materials: a primer journal September 2002
Hydrodynamics of soft active matter journal July 2013
Tunable structure and dynamics of active liquid crystals journal October 2018
Coding/Decoding and Reversibility of Droplet Trains in Microfluidic Networks journal February 2007
Microfluidic Bubble Logic journal February 2007
Rules for Biologically Inspired Adaptive Network Design journal January 2010
Topology and dynamics of active nematic vesicles journal September 2014
DNA solution of hard computational problems journal April 1995
Molecular computation of solutions to combinatorial problems journal November 1994
Command of active matter by topological defects and patterns journal November 2016
Seeing around corners: Cells solve mazes and respond at a distance using attractant breakdown journal August 2020
Topological structure and dynamics of three-dimensional active nematics journal March 2020