On the new universality class in structurally disordered n-vector model with long-range interactions

@article{Shapoval2022OnTN,
  title={On the new universality class in structurally disordered n-vector model with long-range interactions},
  author={Dmytro Shapoval and Maxym Dudka and Yurij Holovatch},
  journal={Low Temperature Physics},
  year={2022}
}
We study a stability boundary of a region where nontrivial critical behavior of an n-vector model with long-range power-law decaying interactions is induced by the presence of a structural disorder (e.g., weak quenched dilution). This boundary is given by the marginal dimension of the order parameter nc dependent on space dimension, d, and a control parameter of the interaction decay, σ, below which the model belongs to the new dilution-induced universality class. Exploiting the Harris… 

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References

SHOWING 1-10 OF 31 REFERENCES

Notes on the Statistical Mechanics of Systems with Long-Range Interactions

Thermodynamic and dynamical properties of systems with long range pairwise interactions (LRI) which decay as 1/r^{d+\sigma} at large distances r in $d$ dimensions are reviewed in these Notes. Two

Solitons in molecular systems

Approach your problems from the It isn't that they can't see the end and begin with the answers. solution. It is that they can't Then one day, perhaps you will see the problem. find the final

Theory Of Molecular Excitons

Field theory

Relativistic Quantum Fields.By C. Nash. Pp.223. (Academic: London, New York and San Francisco, 1978.) £15; $31.

Quantum mechanics

Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.

Phys

  • Lett. A 42, 313
  • 1972

Phys

  • Rev. E 92, 052113
  • 2015

A: Math

  • Theor. 53, 445008
  • 2020

77

Physics of Long-Range Interacting Systems

PART I: STATIC AND EQUILIBRIUM PROPERTIES PART II: DYNAMICAL PROPERTIES PART III: APPLICATIONS