Type of Publication:  Journal article 
Publication status:  Published 
Author:  Kim, Bongsoo; Fuchs, Matthias; Krakoviack, Vincent 
Year of publication:  2020 
Published in:  Journal of Statistical Mechanics: Theory and Experiment ; 2020 (2020), 2.  023301.  Institute of Physics Publishing (IOP).  eISSN 17425468 
DOI (citable link):  https://dx.doi.org/10.1088/17425468/ab632e 
Summary: 
We develop a fieldtheoretic perturbation method preserving the fluctuation–dissipation relation (FDR) for the dynamics of the density fluctuations of a noninteracting colloidal gas plunged in a quenched Gaussian random field. It is based on an expansion about the Brownian noninteracting gas and can be considered and justified as a lowdisorder or hightemperature expansion. The firstorder bare theory yields the same memory integral as the modecoupling theory (MCT) developed for (ideal) fluids in random environments, apart from the bare nature of the correlation functions involved. It predicts an ergodic dynamical behavior for the relaxation of the density fluctuations, in which the memory kernels and correlation functions develop longtime algebraic tails. An FDRconsistent renormalized theory is also constructed from the bare theory. It is shown to display a dynamic ergodic–nonergodic transition similar to the one predicted by the MCT at the level of the density fluctuations, but, at variance with the MCT, the transition does not fully carry over to the selfdiffusion, which always reaches normal diffusive behavior at long time, in agreement with known rigorous results.

Subject (DDC):  530 Physics 
Refereed:  Unknown 
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KIM, Bongsoo, Matthias FUCHS, Vincent KRAKOVIACK, 2020. Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential : a timereversalsymmetrypreserving fieldtheoretic approach. In: Journal of Statistical Mechanics: Theory and Experiment. Institute of Physics Publishing (IOP). 2020(2), 023301. eISSN 17425468. Available under: doi: 10.1088/17425468/ab632e
@article{Kim20200212Dynam49258, title={Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential : a timereversalsymmetrypreserving fieldtheoretic approach}, year={2020}, doi={10.1088/17425468/ab632e}, number={2}, volume={2020}, journal={Journal of Statistical Mechanics: Theory and Experiment}, author={Kim, Bongsoo and Fuchs, Matthias and Krakoviack, Vincent}, note={Article Number: 023301} }
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