Critical disordered systems with constraints and the inequality v >2/d
Amnon Aharony, A. Brooks Harris, Shai Wiseman
The renormalization group approach is used to study the effects of a "canonical" constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the "random" fixed point. This proves that α < 0, or that v >2/d."Canonical" and "grand canonical" averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for "canonical" averaging is slow, resulting in effectively smaller fluctuations.
https://doi.org/10.1103/PhysRevLett.81.252
10.1103/PhysRevLett.81.252
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cubic lattices Physics & Astronomy 100%
Ising model Physics & Astronomy 86%
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Aharony, A., Harris, A. B., & Wiseman, S. (1998). Critical disordered systems with constraints and the inequality v >2/d. Physical Review Letters, 81(2), 252-255. https://doi.org/10.1103/PhysRevLett.81.252
Aharony, Amnon ; Harris, A. Brooks ; Wiseman, Shai. / Critical disordered systems with constraints and the inequality v >2/d. In: Physical Review Letters. 1998 ; Vol. 81, No. 2. pp. 252-255.
@article{75e83804aada48549bfec21792b7628f,
title = "Critical disordered systems with constraints and the inequality v >2/d",
abstract = "The renormalization group approach is used to study the effects of a "canonical" constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the "random" fixed point. This proves that α < 0, or that v >2/d."Canonical" and "grand canonical" averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for "canonical" averaging is slow, resulting in effectively smaller fluctuations.",
author = "Amnon Aharony and Harris, {A. Brooks} and Shai Wiseman",
doi = "10.1103/PhysRevLett.81.252",
publisher = "American Physical Society",
Aharony, A, Harris, AB & Wiseman, S 1998, 'Critical disordered systems with constraints and the inequality v >2/d', Physical Review Letters, vol. 81, no. 2, pp. 252-255. https://doi.org/10.1103/PhysRevLett.81.252
Critical disordered systems with constraints and the inequality v >2/d. / Aharony, Amnon; Harris, A. Brooks; Wiseman, Shai.
In: Physical Review Letters, Vol. 81, No. 2, 13.07.1998, p. 252-255.
T1 - Critical disordered systems with constraints and the inequality v >2/d
AU - Aharony, Amnon
AU - Harris, A. Brooks
AU - Wiseman, Shai
N2 - The renormalization group approach is used to study the effects of a "canonical" constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the "random" fixed point. This proves that α < 0, or that v >2/d."Canonical" and "grand canonical" averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for "canonical" averaging is slow, resulting in effectively smaller fluctuations.
AB - The renormalization group approach is used to study the effects of a "canonical" constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the "random" fixed point. This proves that α < 0, or that v >2/d."Canonical" and "grand canonical" averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for "canonical" averaging is slow, resulting in effectively smaller fluctuations.
U2 - 10.1103/PhysRevLett.81.252
DO - 10.1103/PhysRevLett.81.252
JO - Physical Review Letters
JF - Physical Review Letters
Aharony A, Harris AB, Wiseman S. Critical disordered systems with constraints and the inequality v >2/d. Physical Review Letters. 1998 Jul 13;81(2):252-255. https://doi.org/10.1103/PhysRevLett.81.252