Condensed Matter > Statistical Mechanics
[Submitted on 26 Jun 2019 (v1), last revised 22 Feb 2020 (this version, v5)]
Title:Thermal transport in long-range interacting Fermi-Pasta-Ulam chains
View PDFAbstract:Studies of thermal transport in long-range (LR)interacting systems are currently particularly challenging. The main difficulties lie in the choice of boundary conditions and the definition of heat current when driving systems in an out-of-equilibrium state by the usual thermal reservoirs. Here, by employing a reverse type of thermal baths that can overcome such difficulties, we reveal the intrinsic features of thermal transport underlying a LR interacting Fermi-Pasta-Ulam chain. We find that under an appropriate range value of LR exponent $\sigma =2$, while a \emph{nonballistic} power-law length ($L$) divergence of thermal conductivity $\kappa$, i.e., $\kappa \sim L^{\alpha}$ still persists, its scaling exponent $\alpha \simeq 0.7$ can be much larger than the usual predictions in short-range interacting systems. The underlying mechanism is related to the system's new heat diffusion process, weaker nonintegrability and peculiar dynamics of traveling discrete breathers. Our results shed light on searching for low-dimensional materials supporting higher thermal conductivity by involving appropriate LR interactions.
Submission history
From: Daxing Xiong [view email][v1] Wed, 26 Jun 2019 13:28:11 UTC (2,842 KB)
[v2] Wed, 3 Jul 2019 03:01:49 UTC (2,746 KB)
[v3] Thu, 11 Jul 2019 02:20:21 UTC (2,746 KB)
[v4] Tue, 3 Dec 2019 15:51:26 UTC (2,773 KB)
[v5] Sat, 22 Feb 2020 06:00:57 UTC (2,775 KB)
Current browse context:
cond-mat.stat-mech
References & Citations
Bibliographic and Citation Tools
Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)
Code, Data and Media Associated with this Article
alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)
Demos
Recommenders and Search Tools
Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender
(What is IArxiv?)
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.