Mean-Field Caging in a Random Lorentz Gas.

The Journal of Physical Chemistry. B
Giulio BiroliFrancesco Zamponi

Abstract

The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, d → ∞ limit: the localization transition is then expected to be continuous for the former and discontinuous for the latter. As a putative resolution, we have recently suggested that, as d increases, the behavior of the RLG converges to the glassy description and that percolation physics is recovered thanks to finite-d perturbative and nonperturbative (instantonic) corrections [Biroli et al. Phys. Rev. E 2021, 103, L030104]. Here, we expand on the d → ∞ physics by considering a simpler static solution as well as the dynamical solution of the RLG. Comparing the 1/d correction of this solution with numerical results reveals that even perturbative corrections fall out of reach of existing theoretical descriptions. Comparing the dynamical solution with the mode-coupling theory (MCT) results further reveals that, although key quantitative features of MCT are far off the mark, it does properly capture the discontinuous nature of the d → ∞ RLG. These insights help chart a path toward a complete description of finite-dimensional glasses.

References

Apr 1, 1987·Physical Review A: General Physics·T R Kirkpatrick, P G Wolynes
Jul 15, 1989·Physical Review A: General Physics·T R KirkpatrickP G Wolynes
Dec 1, 1987·Physical Review. B, Condensed Matter·T R Kirkpatrick, P G Wolynes
Mar 11, 1985·Physical Review Letters·Y SinghP G Wolynes
Oct 9, 1995·Physical Review Letters·R Monasson
May 23, 2006·Physical Review Letters·Felix HöflingErwin Frey
May 2, 2008·The Journal of Chemical Physics·Felix HöflingThomas Franosch
Jun 13, 2009·Physical Review Letters·Indaco BiazzoFrancesco Zamponi
Aug 8, 2009·Physical Review Letters·Romain MariJorge Kurchan
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bernhard Schmid, Rolf Schilling
Sep 28, 2010·Physical Review Letters·Atsushi Ikeda, Kunimasa Miyazaki
Oct 7, 2011·The Journal of Chemical Physics·Romain Mari, Jorge Kurchan
Nov 24, 2011·Physical Review Letters·Patrick CharbonneauFrancesco Zamponi
Aug 15, 2012·Proceedings of the National Academy of Sciences of the United States of America·Patrick CharbonneauFrancesco Zamponi
Apr 6, 2013·The Journal of Chemical Physics·Giulio Biroli, Juan P Garrahan
Oct 8, 2014·Proceedings of the National Academy of Sciences of the United States of America·Patrick CharbonneauFrancesco Zamponi
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuliang Jin, Patrick Charbonneau
Oct 21, 2015·Soft Matter·Massimo Pica CiamarraAntonio Coniglio
Nov 13, 2015·Proceedings of the National Academy of Sciences of the United States of America·Silvio FranzFrancesco Zamponi
Jan 23, 2016·Physical Review Letters·Thibaud MaimbourgFrancesco Zamponi
Feb 13, 2016·Physical Review. E·Matthieu Mangeat, Francesco Zamponi
Feb 27, 2016·Physical Review Letters·Markus SpannerThomas Franosch
Aug 12, 2017·The Journal of Chemical Physics·Harukuni IkedaAtsushi Ikeda
Oct 28, 2017·Physical Review Letters·Grzegorz Szamel
Apr 19, 2019·Soft Matter·Charlotte F Petersen, Thomas Franosch
Oct 2, 2019·Physical Review Letters·Silvio FranzPierfrancesco Urbani
May 3, 2020·The Journal of Chemical Physics·Alessandro ManacordaFrancesco Zamponi
Mar 20, 2021·Physical Review. E·Harukuni IkedaAtushi Ikeda
Apr 18, 2021·Physical Review. E·Giulio BiroliFrancesco Zamponi

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2021 Meta ULC. All rights reserved