Dynamic universality class of model H with frustrated diffusion: expansion
We study a variation of the dynamic universality class of model H in a spatial dimension of $$d=4{-}{\epsilon}$$, by frustrating charge diffusion and momentum density fluctuations along $${d}_{T}=1$$ or $${d}_{T}=2$$ dimensions, while keeping the same dynamics of model H in the other $${d}_{L}=d{-}{d}_{T}$$ dimensions. The case of $${d}_{T}=2$$ describes the QCD critical point in a background magnetic field. We find that these models belong to a different dynamical universality class due to extended conservation laws compared to the model H, although the static universality class remains the same as the 3-dimensional Ising model. We compute the dynamic critical exponents of these models in first order of $${\epsilon}$$-expansion to find that $${x}_{{\lambda}}{\approx}0.847{\epsilon}$$, $${x}_{\overline{{\eta}}}{\approx}0.153{\epsilon}$$, and $$z=4{-}{x}_{{\lambda}}{\approx}3.15$$ when $${\epsilon}=1$$ and $${d}_{T}=2$$. For $${d}_{T}=1$$ the results are numerically similar to the model H values: $$z{\approx}3.08$$.
- Research Organization:
- Univ. of Illinois, Chicago, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- SC0018209
- OSTI ID:
- 1416057
- Alternate ID(s):
- OSTI ID: 1503832
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 1; ISSN 2470-0010
- Publisher:
- American Physical SocietyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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