# Thermal transport in long-range interacting Fermi-Pasta-Ulam chains

@article{Wang2019ThermalTI, title={Thermal transport in long-range interacting Fermi-Pasta-Ulam chains}, author={Jianjin Wang and Sergey V. Dmitriev and Daxing Xiong}, journal={Physical Review Research}, year={2019} }

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…

## 14 Citations

### Energy current correlation in solvable long-range interacting systems.

- PhysicsPhysical review. E
- 2020

It is found that long-range interaction can induce the anomalous exponent even in three-dimensional systems, and the asymptotic time decay in the energy current correlation function is related to the thermal conductivity via the Green-Kubo formula.

### Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain

- PhysicsJ. Nonlinear Sci.
- 2021

It is concluded that DBs affect specific heat of the nonlinear chain, and for the case of hard-type (soft-type) anharmonicity, they reduce (increase) the specific heat.

### Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation

- Physics
- 2021

Levy-type behaviors are widely involved in anomalous thermal transport, yet generic investigations based on the mathematical descriptions of the confined Levy flights are still lacking. In the…

### Heat transport and cooling performance in a nanomechanical system with local and non local interactions

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

In the present work, we study heat transport through a one dimensional time-dependent nanomechanical system. The microscopic model consists of coupled chains of atoms, considering local and non-local…

### Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains.

- PhysicsPhysical review. E
- 2020

The equilibration of sinusoidally modulated distribution of the kinetic temperature is analyzed in the β-Fermi-Pasta-Ulam-Tsingou chain with different degrees of nonlinearity and for different wavelengths of temperature modulation to show that the initial conditions that are closer to the state of thermal equilibrium give faster convergence.

### Nonlocal Phonon Heat Transport Seen in 1-d Pulses

- Physics
- 2021

Propagation of vibrational energy from an initial localized pulse gives useful insights into non-local phonon transport. We report simulations in one dimension. The 1d case has tricky anomalies, but…

### Subdiffusive energy transport and antipersistent correlations due to the scattering of phonons and discrete breathers.

- PhysicsPhysical review. E
- 2022

While there are many physical processes showing subdiffusion and some useful particle models for understanding the underlying mechanisms have been established, a systematic study of subdiffusive…

### New types of one-dimensional discrete breathers in a two-dimensional lattice

- Materials ScienceLetters on Materials
- 2020

1Mirny Polytechnic Institute (branch) of North-Eastern Federal University, 5 Tikhonova St., Mirny, 678174, Russia 2Institute for Metals Superplasticity Problems RAS, 39 S. Khalturin St., Ufa, 450001,…

### Unusual slow energy relaxation induced by mobile discrete breathers in one-dimensional lattices with next-nearest-neighbor coupling

- PhysicsCommunications in Theoretical Physics
- 2022

We study the energy relaxation process in one-dimensional (1D) lattices with next-nearest-neighbor (NNN) couplings. This relaxation is produced by adding damping (absorbing conditions) to the…

### Heat pulse propagation and nonlocal phonon heat transport in one-dimensional harmonic chains

- PhysicsPhysical Review B
- 2022

Phonons are the main heat carriers in semiconductor devices. In small devices, heat is not driven by a local temperature gradient, but by local points of heat input and removal. This complicates…

## References

SHOWING 1-10 OF 47 REFERENCES

### Thermal transport in the Fermi-Pasta-Ulam model with long-range interactions.

- PhysicsPhysical review. E
- 2017

It is demonstrated that the nonmonotonic behavior of the conductivity and the nearly ballistic thermal transport at δ=2.0 obtained under nonequilibrium conditions can be explained consistently by studying the variation of largest Lyapunov exponent λ_{max} with δ, and excess energy diffusion in the equilibrium microcanonical system.

### Equilibrium time-correlation functions of the long-range interacting Fermi–Pasta–Ulam model

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

We present a numerical study of dynamical correlations (structure factors) of the long-range generalization of the Fermi–Pasta–Ulam oscillator chain, where the strength of the interaction between two…

### Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs.

- PhysicsPhysical review. E
- 2018

A decomposition of the steady-state heat current that explicitly accounts for a direct transfer of energy between the reservoir and the system can be effectively described as a set of oscillators each interacting with the thermal baths.

### Energy current correlation in solvable long-range interacting systems.

- PhysicsPhysical review. E
- 2020

It is found that long-range interaction can induce the anomalous exponent even in three-dimensional systems, and the asymptotic time decay in the energy current correlation function is related to the thermal conductivity via the Green-Kubo formula.

### Fermi-Pasta-Ulam model with long-range interactions: Dynamics and thermostatistics

- Mathematics
- 2014

We study a long-range–interaction generalisation of the one-dimensional Fermi-Pasta-Ulam (FPU) β-model, by introducing a quartic interaction coupling constant that decays as (with strength…

### Energy transport in the presence of long-range interactions.

- PhysicsPhysical review. E
- 2017

It is shown that energy diffusion in the HMF model is subdiffusive in nature, which confirms a recently obtained intriguing result that, despite being globally interacting, this model is a thermal insulator in the thermodynamic limit.

### Role of the range of the interactions in thermal conduction.

- PhysicsPhysical review. E
- 2016

It is found that Fourier's law, as signaled by a finite κ in the thermodynamic limit, holds only for sufficiently short-range interactions, with α>α_{c}(T).