Theory of interacting dislocations on cylinders.

  title={Theory of interacting dislocations on cylinders.},
  author={Ariel Amir and Jayson Paulose and David R. Nelson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={87 4},
  • A. AmirJ. PauloseD. Nelson
  • Published 17 January 2013
  • Materials Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The interaction energy and forces between dislocations are solved analytically, and analyzed asymptotically. The results of continuum elastic theory agree well with numerical simulations on finite lattices even for relatively small systems. Isolated dislocations on a… 

On the effect of boundaries on confined vortex matter systems

In this thesis, we investigate the effects of boundaries on confined superconducting vortex matter systems. We are primarily interested in understanding the properties of the so-called `row-drop'

Defect formation dynamics in curved elastic surface crystals.

This work uses recent experimentally confirmed theory to investigate topological defect formation in curved elastic surface crystals formed by stress-quenching a bilayer material and finds that the defect densities follow KZ-type power laws.

Shape multistability in flexible tubular crystals through interactions of mobile dislocations

Significance Crystalline sheets rolled up into cylinders occur in diverse biological and synthetic systems, including carbon nanotubes, biofilaments of the cellular cytoskeleton, and packings of

Self-assembly on a cylinder: a model system for understanding the constraint of commensurability

A crystal lattice, when confined to the surface of a cylinder, must have a periodic structure that is commensurate with the cylinder circumference. This constraint can frustrate the system, leading

Kibble-Zurek mechanism in curved elastic surface crystals

Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain

Elastic and Plastic Deformations of Bacterial Cell Walls

By applying a precisely controllable hydrody-namic force to growing rod-shaped Escherichia coli cells, it is shown that they can significantly deflect either elastically or plastically depending on the duration of the applied force.

Facing the environment: hydrodynamics and confinement modulate molecular motors dynamics

The behavior of molecular motors when the properties of the cytoplasm they displace through are not homogeneous or isotropic is characterized and the peculiar features induced by the hydrodynamic coupling are discussed by comparing them against those obtained in the case of rigidly coupled motors.

Bending forces plastically deform growing bacterial cell walls

It is demonstrated for the first time that mechanical stress directly influences cell wall synthesis of bacteria and a single dimensionless parameter can describe the cell’s responses under various experimental conditions, providing insight into how living cells robustly maintain their shape under varying physical environments.

Mechanical strain-sensing implicated in cell shape recovery in Escherichia coli

This work probes the effects of mechanical strain on cell shape by modelling the mechanical strains caused by bending and differential growth of the cell wall and shows that the spatial coupling of growth to regions of high mechanical strain can explain the plastic response of cells to bending and quantitatively predict the rate at which bent cells straighten.



On the Theory of Dislocations

If, in a multiply‐connected elastic solid, discontinuities are permitted across a stationary barrier in either the strain or its first derivatives or both, dislocations of a more general type than

Proceedings of the Physical Society

  • Physics
  • 1948
IN order to accommodate the increased number of papers submitted for publication, the Proceedings of the Physical Society is to appear in two parts, A and B. Proceedings A will include a contents

The Langevin Equation

The generalized Langevin equation describes processes in a mechanical system with both deterministic and random forces which have comparable magnitudes (i.e., neither the deterministic nor random


The fifth edition of Horace Lamb's text-book is welcome, for it contains not only all the good features of its predecessors, but also most valuable accounts of recent discoveries.


The aim of the journal is to appeal to the interests of its diverse group of subscribers, authors are asked to address themselves to both specialists and generalists; this demands conscious concern for this goal in writing.

“Annual Review of Microbiology”

The Board of Directors of Annual Reviews, Inc., announces the forthcoming publication of an “Annual Review of Microbiology”, which is expected to appear in November 1947 and is under the direction of an editorial committee consisting of Dr. Monroe D. Eaton, Department of Public Health, Berkeley, Calif.

The Biophysical Journal

Other Professional Positions and Major Visiting Appointments: 1983–1984 Laboratory Instructor in Electrical Engineering, Yale University, New Haven, CT 1984–1986 Electrical Engineer, Hewlett-Packard


Voirie et Déplacements. — Arrêté n STV 3/2006-022 réglementant, à titre provisoire, la circulation dans la rue Ginoux, à Paris 15 (Arrêté du 25 janvier 2006)............... 274 Voirie et

Trends in Plant Science

  • B. Baker
  • Biology
    Plant Molecular Biology Reporter
  • 2007
After approval by its Board of Directors, The ISPMB now has a World Wide Web page, which includes a Statement of Purpose, a list of officers with their addresses, and the most current information available regarding the Fifth International Congress of Plant Molecular Biology, to be held in Singapore, 2127 September 1997.

Microbiology and Molecular Biology Reviews 69

  • 585
  • 2005