Bibliographic Details
| Title: |
Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension 𝒅 = 3. |
| Alternate Title: |
Критичнi показники моделi Iзiнга iз замороженим структурним безладом та далекосяжними взаємодiями при вимiрностi простору 𝒅 = 3 |
| Authors: |
Shapoval, D.1,2 shapoval@icmp.lviv.ua, Dudka, M.1,2,3 |
| Source: |
Condensed Matter Physics. 2025, Vol. 28 Issue 4, p1-14. 14p. |
| Subjects: |
Critical exponents, Ising model, Renormalization group, Mathematics |
| Abstract: |
We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance 𝑥 as ∼ 𝑥-𝑑-𝜎 in a 𝑑-dimensional space. It is known to belong to a new long-range random universality class for certain values of the decay parameter 𝜎. Exploiting the field-theoretic renormalization group approach within the minimal subtraction scheme, we compute the three-loop renormalization group functions. On their basis, with the help of asymptotic series resummation methods, we estimate the correlation length critical exponent 𝜈 characterising the new universality class for 𝑑 = 3 and for those values of 𝜎 for which long-range interactions are relevant for the critical behaviour. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
