Incomplete Thermalization from Trap-Induced Integrability Breaking: Lessons from Classical Hard Rods

Physical Review Letters
Xiangyu CaoJoel E Moore

Abstract

We study a one-dimensional gas of hard rods trapped in a harmonic potential, which breaks integrability of the hard-rod interaction in a nonuniform way. We explore the consequences of such broken integrability for the dynamics of a large number of particles and find three distinct regimes: initial, chaotic, and stationary. The initial regime is captured by an evolution equation for the phase-space distribution function. For any finite number of particles, this hydrodynamics breaks down and the dynamics becomes chaotic after a characteristic timescale determined by the interparticle distance and scattering length. The system fails to thermalize over the timescale studied (10^{4} natural units), but the time-averaged ensemble is a stationary state of the hydrodynamic evolution. We close by discussing logical extensions of the results to similar systems of quantum particles.

References

Oct 4, 2005·Physical Review Letters·Alexander G Abanov, Paul B Wiegmann
Apr 14, 2006·Nature·Toshiya KinoshitaDavid S Weiss
Apr 19, 2008·Nature·Marcos RigolMaxim Olshanii
Nov 14, 2015·Physical Review Letters·Bruno BertiniNeil J Robinson
Nov 26, 2016·Physical Review Letters·Bruno BertiniMaurizio Fagotti
Jul 29, 2017·Physical Review Letters·Enej Ilievski, Jacopo De Nardis
Dec 30, 2017·Physical Review Letters·Vir B BulchandaniJoel E Moore

❮ Previous
Next ❯

Citations

Nov 9, 2019·Physical Review Letters·Aaron J FriedmanRomain Vasseur
Nov 6, 2018·Physical Review Letters·Jacopo De NardisBenjamin Doyon
Nov 8, 2019·Physical Review Letters·Alvise BastianelloJean-Sébastien Caux
Aug 29, 2020·Physical Review Letters·Jacopo De NardisRomain Vasseur
Apr 2, 2019·Physical Review Letters·Q GuanD Blume
Apr 28, 2020·Physical Review Letters·Paola RuggieroJérôme Dubail
Aug 1, 2019·Proceedings of the National Academy of Sciences of the United States of America·Sarang GopalakrishnanBrayden Ware
Jan 8, 2021·Physical Review Letters·Alvise BastianelloJacopo De Nardis
Jul 3, 2021·Physical Review Letters·Subhadip ChakrabortiAbhishek Dhar
Aug 17, 2021·Physical Review Letters·Jacopo De NardisBrayden Ware
Sep 9, 2021·Proceedings of the National Academy of Sciences of the United States of America·Michele FavaS A Parameswaran

❮ 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.