skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1341293
Grant/Contract Number:
FG02-88ER40388
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 1; Related Information: CHORUS Timestamp: 2017-01-24 16:50:39; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Akamatsu, Yukinao, Mazeliauskas, Aleksas, and Teaney, Derek. Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.014909.
Akamatsu, Yukinao, Mazeliauskas, Aleksas, & Teaney, Derek. Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion. United States. doi:10.1103/PhysRevC.95.014909.
Akamatsu, Yukinao, Mazeliauskas, Aleksas, and Teaney, Derek. Mon . "Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion". United States. doi:10.1103/PhysRevC.95.014909.
@article{osti_1341293,
title = {Kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion},
author = {Akamatsu, Yukinao and Mazeliauskas, Aleksas and Teaney, Derek},
abstractNote = {},
doi = {10.1103/PhysRevC.95.014909},
journal = {Physical Review C},
number = 1,
volume = 95,
place = {United States},
year = {Mon Jan 23 00:00:00 EST 2017},
month = {Mon Jan 23 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevC.95.014909

Citation Metrics:
Cited by: 8works
Citation information provided by
Web of Science

Save / Share:
  • The long time tails of the correlations function that determine the self-diffusion coefficient and the kinetic parts of the shear viscosity and heat conductivity in a one-component plasma are calculated using a systematic kinetic theory. The results are in agreement with those obtained from the phenomenological mode coupling theory. The formal kinetic theory calculations of previous workers, who obtained incomplete long time tail results, are also discussed.
  • No abstract prepared.
  • A new mechanism is described for producing slow decays in the velocity correlation function of diffusive systems with directed trapping. If the directions for entering and leaving a trap are correlated and if the distribution of trapping times has a long tail then the velocity correlation function will have a corresponding long time tail. This new long time tail like t at a negative exponent of (2 + alpha), where alpha is an exponent characterizing the tail of the distribution of trapping times. A simple random walk model which illustrates this mechanism is analyzed.
  • In random systems, the density of states of various linear problems, such as phonons, tight-binding electrons, or diffusion in a medium with traps, exhibits an exponentially small Lifshitz tail at band edges. When the distribution of the appropriate random variables (atomic masses, site energies, trap depths) has a delta function at its lower (upper) bound, the Lifshitz singularities are pure exponentials. The authors study in a quantitative way how these singularities are affected by a universal logarithmic correction for continuous distributions starting with a power law. They derive an asymptotic expansion of the Lifshitz tail to all orders in thismore » logarithmic variable. For distributions starting with an essential singularity, the exponent of the Lifshitz singularity itself is modified. These results are obtained in the example of harmonic chains with random masses. It is argued that analogous results hold in higher dimensions. Their implications for other models, such as the long-time decay in trapping problems, are also discussed.« less
  • Ernst, Machta, Dorfman, and van Beijeren have proposed that diffusion in a stationary random medium is described by a fluctuating diffusion equation involving a coarse-grained local diffusion coefficient and free volume fraction. The authors of this paper, Harrison and Zwanzig, show that for a particular class of models (lattice diffusion with random transition rates and constant free volume fraction), the prediction of Ernst et. al. for the long time tail in the velocity autocorrelation function is the correct asymptotic limit.