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Title: Dynamic universality class of model H with frustrated diffusion: ε 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 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: $$z{\approx}3.08$$.

Authors:
 [1]
  1. Univ. of Illinois, Chicago, IL (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
Publication Date:
Research Org.:
Univ. of Illinois, Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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 2470-0010
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, Ho-Ung. Dynamic universality class of model H with frustrated diffusion: ε expansion. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.016003.
Yee, Ho-Ung. Dynamic universality class of model H with frustrated diffusion: ε expansion. United States. doi:10.1103/physrevd.97.016003.
Yee, Ho-Ung. 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, Ho-Ung},
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 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: $z{\approx}3.08$.},
doi = {10.1103/physrevd.97.016003},
journal = {Physical Review D},
issn = {2470-0010},
number = 1,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/physrevd.97.016003

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

FIG.  1 FIG. 1: The two real-time diagrams for renormalization of λ.

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.