Energy fluctuations, hydrodynamics and local correlations in harmonic systems with bulk noises

Lukkarinen, Jani

doi:10.1088/0031-8949/86/05/058507

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…The dynamics of the velocity-flipping model are substantially different from that of the self-consistent reservoirs. Notwithstanding, it has been shown by Lukkarinen that both have the same steady-state [42]. Finally, we mention that in quantum systems the noise is usually implemented using the Lindblad master equation.…”

Section: Introductionmentioning

confidence: 85%

Thermal rectification in anharmonic chains under an energy-conserving noise

2015

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Systems in which the heat flux depends on the direction of the flow are said to present thermal rectification. This effect has attracted much theoretical and experimental interest in recent years. However, in most theoretical models the effect is found to vanish in the thermodynamic limit, in disagreement with experiment. The purpose of this paper is to show that the rectification may be restored by including an energy-conserving noise which randomly flips the velocity of the particles with a certain rate λ. It is shown that as long as λ is nonzero, the rectification remains finite in the thermodynamic limit. This is illustrated in a classical harmonic chain subject to a quartic pinning potential (the Φ(4) model) and coupled to heat baths by Langevin equations.

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Section: Introductionmentioning

confidence: 85%

Thermal rectification in anharmonic chains under an energy-conserving noise

2015

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“…Diffusive transport in general requires anharmonic interactions, which can seldom be treated analytically. Instead, a customary approach to induce diffusivity is to add additional energy-conserving noise sources within the chain [2,8,12,13,[54][55][56]. The typical dephasing noise used for this purpose, however, does not preserve Gaussianity.…”

Section: A the Modelmentioning

confidence: 99%

Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

Malouf¹,

Goold²,

Adesso³

et al. 2020

J. Phys. A: Math. Theor.

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The conditional mutual information (CMI) I(A : C|B) quantifies the amount of correlations shared between A and C given B. It therefore functions as a more general quantifier of bipartite correlations in multipartite scenarios, playing an important role in the theory of quantum Markov chains. In this paper we carry out a detailed study on the behavior of the CMI in non-equilibrium steady-states (NESS) of a quantum chain placed between two baths at different temperatures. These results are used to shed light on the mechanisms behind ballistic and diffusive transport regimes and how they affect correlations between different parts of a chain. We carry our study for the specific case of a 1D bosonic chain subject to local Lindblad dissipators at the boundaries. In addition, the chain is also subject to self-consistent reservoirs at each site, which are used to tune the transport between ballistic and diffusive. As a result, we find that the CMI is independent of the chain size L in the ballistic regime, but decays algebraically with L in the diffusive case. Finally, we also show how this scaling can be used to discuss the notion of local thermalization in non-equilibrium steady-states.

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Energy fluctuations, hydrodynamics and local correlations in harmonic systems with bulk noises

Cited by 2 publications

References 17 publications

Thermal rectification in anharmonic chains under an energy-conserving noise

Thermal rectification in anharmonic chains under an energy-conserving noise

Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

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