Fixed Points for One-dimensional Particle System with Strong Interaction

@inproceedings{Malyshev2012FixedPF,
  title={Fixed Points for One-dimensional Particle System with Strong Interaction},
  author={Vadim A. Malyshev},
  year={2012}
}
The main goal of the paper is to present a peculiar equilibrium model of large system of interacting particles with strong interaction. We study properties of this system for zero temperature, that is, we study ground states of the model. Moreover, it exhibits phenomena somewhat unusual for the modern mathematical statistical physics. Namely, the local equilibrium (defining the global equilibrium) in this model lives on the scale much smaller than normal microscale, see more discussion at the… CONTINUE READING

From This Paper

Topics from this paper.
1 Citations
8 References
Similar Papers

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Why current flows: a multiparticle one-dimensional model, Teoret

  • V. A. Malyshev
  • Mat. Fiz
  • 2008

Existence of ground state configurations, Math

  • C. Radin
  • Phys. Electron. J
  • 2004
1 Excerpt

Structural stability of classical lattices in one dimension, Ann

  • M. Duneau, A. Katz
  • Inst. H. Poincaré Phys. Théor
  • 1984
2 Excerpts

Periodicity of classical ground states

  • C. Radin, L. S. Schulman
  • Phys. Rev. Lett
  • 1983
1 Excerpt

The infinite-volume ground state of the Lennard–Jones potential

  • C. S. Gardner, C. Radin
  • J. Statist. Phys
  • 1979
1 Excerpt

On the configuration of a one-dimensional system of interacting particles with minimum potential energy per particle

  • W. J. Ventevogel
  • Physica A Statistical Mechanics and its…
  • 1978
1 Excerpt

Similar Papers

Loading similar papers…