# Key role of asymmetric interactions in low-dimensional heat transport

@article{Chen2015KeyRO, title={Key role of asymmetric interactions in low-dimensional heat transport}, author={Shunda Chen and Yong Zhang and Jiao Wang and Hong Zhao}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2015}, volume={2016} }

We study the heat current autocorrelation function (HCAF) in one-dimensional, momentum-conserving lattices. In particular, we explore if there is any link between the decaying characteristics of the HCAF and asymmetric interparticle interactions. The Lennard-Jones model is investigated intensively in view of its significance to applications. It is found that, in the time range accessible to numerical simulations, the HCAF decays faster than power-law manners, and in some cases it decays even…

## 20 Citations

### Phonon damping in one-dimensional lattices with asymmetric interactions

- PhysicsScience China Physics, Mechanics & Astronomy
- 2022

The symmetry of interparticle interaction plays an important role in determining the energy transport and diffusion behavior of one-dimensional (1D) lattices, not only in the process of hydrodynamics…

### Fourier heat conduction as a strong kinetic effect in one-dimensional hard-core gases.

- PhysicsPhysical review. E
- 2018

It is shown that the kinetic effect can be dominant in some cases and leads to the Fourier law for finite-size systems and in a finite range of the system size, whether the system follows the Fouriers law depends on whether the kinetic stage dominates.

### The Fourier heat conduction as a strong kinetic effect

- Physics
- 2017

For an one-dimensional (1D) momentum conserving system, intensive studies have shown that generally its heat current autocorrelation function (HCAF) tends to decay in a power-law manner and results…

### Heat conduction in two-dimensional momentum-conserving and -nonconserving gases.

- PhysicsPhysical review. E
- 2020

It is found that when the dimensionality of the system is changed from 2D to quasi-one-dimensional (quasi-1D), the heat conductivity diverges with the system size L as κ∼lnL (the theoretical prediction for 2D systems) for a short L and shows a tendency to κ ∼L^{1/3} like that predicted in 1D fluids.

### Universal scaling of the thermalization time in one-dimensional lattices.

- PhysicsPhysical review. E
- 2019

We show that, in the thermodynamic limit, a one-dimensional (1D) nonlinear lattice can always be thermalized for arbitrarily small nonlinearity, thus proving the equipartition theorem for a class of…

### Energy transport and diffusion in low-dimensional lattices

- PhysicsSCIENTIA SINICA Physica, Mechanica & Astronomica
- 2021

Scientiﬁc studies in many disciplines have entered the low-dimensional mesoscopic world. This creates a valuable chance for not only improving near-equilibrium statistical mechanics, but also…

### Observing golden-mean universality class in the scaling of thermal transport.

- PhysicsPhysical review. E
- 2018

Strong evidence is shown that ψ appears to be the scaling exponent of heat mode correlation in a purely quartic anharmonic chain and more ingredients should be taken into account to gain a full prediction of the scaling of thermal transport.

### Temperature and correlations in 1-dimensional systems

- PhysicsThe European Physical Journal Special Topics
- 2019

Abstract
Local thermodynamic equilibrium (LTE) plays a crucial role in statistical mechanics and thermodynamics. Under small driving and LTE, locally conserved quantities are transported as…

### Energy super-diffusion in 1d deterministic nonlinear lattices with broken standard momentum

- Physics
- 2020

Abstract The property of total momentum conservation is a key issue in determining the energy diffusion behavior for 1d nonlinear lattices. The super-diffusion of energy has been found for 1d…

### Energy and momentum diffusion in one-dimensional periodic and asymmetric nonlinear lattices with momentum conservation.

- PhysicsPhysical review. E
- 2019

Results confirm that the periodicity is the key for normal transport behavior in 1D momentum conserving lattices, whether the potential is symmetric or asymmetric.

## 40 References

### Breakdown of the power-law decay prediction of the heat current correlation in one-dimensional momentum conserving lattices

- Physics
- 2012

We show that the asymmetric inter-particle interactions can induce rapid decay of the heat current correlation in one-dimensional momentum conserving lattices. When the asymmetry degree is…

### Finite-size effects on current correlation functions.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

A procedure for correctly evaluating the decay rate of a CCF is proposed, and an analysis suggests that the global energy CCF decays as ∼ t(-2/3) in the diatomic hard-core gas model and in a manner close to ∼ t-1/2 in the Fermi-Pasta-Ulam-β model.

### Anomalous kinetics and transport from 1D self-consistent mode-coupling theory

- Physics
- 2007

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding non-linear…

### Heat transport in low-dimensional systems

- Physics
- 2008

Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet non-trivial, models. Most of these are classical systems, but some…

### Why asymmetric interparticle interaction can result in convergent heat conductivity

- Physics
- 2013

We show that the asymmetric inter-particle interactions may induce rapid decay of heat current autocorrelation in one-dimensional momentum conserving lattices. When the asymmetry degree and the…

### Heat Conduction in the α−β Fermi–Pasta–Ulam Chain

- Physics
- 2013

Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in…

### Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

The power-law divergence of the heat conductivity in the thermodynamic limit is verified, as is expected by many existing theories.

### Normal and anomalous heat transport in one-dimensional classical lattices.

- PhysicsChaos
- 2005

It is found that in the absence of momentum conservation, even ergodicity of an isolated system is not necessary for the normal transport, and the validity of the Fourier law in a pseudo-integrable particle chain is demonstrated.

### Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

This work reports on molecular dynamics simulations of Fermi-Pasta-Ulam chains to compute various spatiotemporal correlation functions and compares them with the predictions of the nonlinear hydrodynamic fluctuation theory, obtaining very good agreement in many cases, but also some deviations.