Ripples in a string coupled to Glauber spins.

@article{Bonilla2012RipplesIA,
  title={Ripples in a string coupled to Glauber spins.},
  author={Luis L. Bonilla and Ana Carpio and Antonio Prados and Rodolfo Ruben Rosales},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 3 Pt 1},
  pages={
          031125
        }
}
  • L. Bonilla, A. Carpio, +1 author R. Rosales
  • Published 2012
  • Physics, Medicine, Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, there appears an equilibrium, time-independent, rippled state in the string that is accompanied by a nonzero spin polarization. On the other hand, the system is shown to form "metastable," nonequilibrium long-lived ripples in the string for slow spin relaxation. The system vibrates rapidly about these… Expand
13 Citations

Figures and Topics from this paper

Ripples in a graphene membrane coupled to Glauber spins
We propose a theory of ripples in suspended graphene sheets based on two-dimensional elasticity equations that are made discrete on the honeycomb lattice and then periodized. At each point carbonExpand
Bifurcation analysis and phase diagram of a spin-string model with buckled states.
TLDR
The phase diagram of the simpler one-dimensional spin-string model and phase stability using bifurcation theory is described, which gives additional insight into the physical mechanisms underlying the different phases and the behavior observed in experiments. Expand
Ripples in hexagonal lattices of atoms coupled to Glauber spins
A system of atoms connected by harmonic springs to their nearest neighbors on a lattice is coupled to Ising spins that are in contact with a thermal bath and evolve under Glauber dynamics. Assuming aExpand
STM-driven transition from rippled to buckled graphene in a spin-membrane model
We consider a simple spin-membrane model for rippling in graphene. The model exhibits transitions from a flat but rippled membrane to a buckled one. At high temperature the transition is second orderExpand
Wiggly strain localizations in peridynamic bars with non-convex potential
Abstract We discuss the static states of a peridynamic nonlinear elastic bar of finite length in a hard device, which represents a continuum description of a complex hierarchical structure withExpand
Mechanics of collective unfolding
Mechanically induced unfolding of passive crosslinkers is a fundamental biological phenomenon encountered across the scales from individual macro-molecules to cytoskeletal actin networks. In thisExpand
Critical radius and temperature for buckling in graphene
In this work, we find an analytical flat-membrane solution to the saddle point equations, derived by Guinea et al. [Phys. Rev. B 89, 125428 (2014)], for the case of a suspended graphene membrane ofExpand
Mirror Buckling Transitions in Freestanding Graphene Membranes Induced through Scanning Tunneling Microscopy
Graphene has the ability to provide for a technological revolution. First isolated and characterized in 2004, this material shows promise in the field of flexible electronics. The electronicExpand
Analysis of spin crossover nanochains using parabolic approximation in the framework of atom–phonon coupling model
Abstract In this paper the atom–phonon coupling model is applied to explain and illustrate the behavior of a linear chain of molecules in the case of spin crossover (SCO) compounds. It is well knownExpand
Isotensional and isometric force-extension response of chains with bistable units and Ising interactions
This paper studies the mechanical properties of a chain of bistable elements that interact with each other, such as a molecular chain of folding and unfolding units. The authors observe that for aExpand
...
1
2
...

References

SHOWING 1-10 OF 31 REFERENCES
Nature
  • R. Rosenfeld
  • Medicine
  • Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
TLDR
I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia. Expand
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2007
Phys. Rev. Lett. Phys. Rev. B P. A. Rikvold, Bussei Kenkyu
  • Phys. Rev. Lett. Phys. Rev. B P. A. Rikvold, Bussei Kenkyu
  • 1973
J. Math. Phys
  • J. Math. Phys
  • 1963
J. Appl. Phys. Phys. Rev. B P. A. Rikvold, Z. Phys. B
  • J. Appl. Phys. Phys. Rev. B P. A. Rikvold, Z. Phys. B
  • 1960
Graphene Simulation
  • Graphene Simulation
  • 2011
Nat
  • Nanotechnol. 6, 339
  • 2011
Nat. Nanotechnol
  • Nat. Nanotechnol
  • 2011
Phys
  • Rev. Lett. 106, 045502
  • 2011
Phys
  • Rev. B 83, 165405
  • 2011
...
1
2
3
4
...