Dynamic universality class of model H with frustrated diffusion: $\epsilon $ expansion
Abstract
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 3dimensional 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: $$z{\approx}3.08$$.
 Authors:

 Univ. of Illinois, Chicago, IL (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKENBNL Research Center
 Publication Date:
 Research Org.:
 Univ. of Illinois, Chicago, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1416057
 Alternate Identifier(s):
 OSTI ID: 1503832
 Grant/Contract Number:
 SC0018209
 Resource Type:
 Journal Article: Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; critical phenomena; QCD phase transitions; renormalization group
Citation Formats
Yee, HoUng. Dynamic universality class of model H with frustrated diffusion: ε expansion. United States: N. p., 2018.
Web. doi:10.1103/physrevd.97.016003.
Yee, HoUng. Dynamic universality class of model H with frustrated diffusion: ε expansion. United States. doi:10.1103/physrevd.97.016003.
Yee, HoUng. Mon .
"Dynamic universality class of model H with frustrated diffusion: ε expansion". United States. doi:10.1103/physrevd.97.016003.
@article{osti_1416057,
title = {Dynamic universality class of model H with frustrated diffusion: ε expansion},
author = {Yee, HoUng},
abstractNote = {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 3dimensional 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: $z{\approx}3.08$.},
doi = {10.1103/physrevd.97.016003},
journal = {Physical Review D},
issn = {24700010},
number = 1,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}
Web of Science
Figures / Tables:
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