Coupled transport in rotor models

Iubini, Stefano; Lepri, Stefano; Livi, Roberto; Politi, Antonio

doi:10.1088/1367-2630/18/8/083023

Cited by 25 publications

(34 citation statements)

References 46 publications

(85 reference statements)

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“…Nonequilibrium stationary states crucially depend on the stochastic dynamics: despite the intrinsically discrete character of the conservative moves, I have shown that they are sufficient to introduce irreversibility in the system. Indeed, numerical simulations indicate that such a model displays diffusive transport and a finite Seebeck coefficient, similarly to what is found in the DNLS equation [17,19].…”

Section: Discussionsupporting

confidence: 71%

“…In the standard nonequilibrium setup, the DNLS chain interacts with two external reservoirs that exchange energy and norm and impose temperature and chemical potentials [17,18]. While for sufficiently large temperatures, the DNLS model displays normal transport with a non-vanishing Seebeck coefficient [17,19] and diffusive spreading of energy-and norm correlations [20], in the low-temperature regime, the quasi-conservation of the phase differences yields anomalous transport on long time scales [20]. More in general, it was shown that the nonlinearity of the system plays a relevant role for the determination of its nonequilibrium properties.…”

Section: Introductionmentioning

confidence: 99%

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Coupled transport in a linear-stochastic Schrödinger equation

Iubini¹

2019

J. Stat. Mech.

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I study heat and norm transport in a one-dimensional lattice of linear Schrödinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schrödinger equation in the limit of vanishing nonlinearity. When attached to external classical reservoirs that impose nonequilibrium conditions, the chain displays diffusive transport, with finite Onsager coefficients in the thermodynamic limit and a finite Seebeck coefficient.

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Section: Discussionsupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Coupled transport in a linear-stochastic Schrödinger equation

Iubini¹

2019

J. Stat. Mech.

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“…In the limit α = ∞, the above models reduce to their nearest-neighbor versions, whose transport properties have been studied in great detail in the last two decades, see Refs. [16,17,23,24] and [25][26][27], respectively. For finite α, transport properties of the rotor model (4) have been studied recently in Ref.…”

Section: The Setupmentioning

confidence: 99%

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

et al. 2018

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We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strength of the interaction between two lattice sites decays as a power α of the inverse of their distance. We point out the necessity of distinguishing between energy flows towards or from the reservoirs and those within the system. We show that energy flow between the reservoirs occurs via a direct transfer induced by long-range couplings and a diffusive process through the chain. To this aim, we introduce a decomposition of the steady-state heat current that explicitly accounts for such direct transfer of energy between the reservoir. For 0≤α<1, the direct transfer term dominates, meaning that the system can be effectively described as a set of oscillators each interacting with the thermal baths. Also, the heat current exchanged with the reservoirs depends on the size of the thermalized regions: In the case in which such size is proportional to the system size N, the stationary current is independent on N. For α>1, heat transport mostly occurs through diffusion along the chain: For the rotors transport is normal, while for FPU the data are compatible with an anomalous diffusion, possibly with an α-dependent characteristic exponent.

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“…However, we have no good reason to attribute those temperature profiles to finite-size localization effects. First of all, the considered rotor chains are not in the regime where one expects these effects and secondly, there is a satisfactory explanation for these profiles via linear response [22].…”

Section: Introductionmentioning

confidence: 98%

Step Density Profiles in Localized Chains

Roeck¹,

Dhar²,

Huveneers³

et al. 2017

J Stat Phys

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We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators. These systems are believed to exhibit localization, implying in particular that the conductivity decays exponentially in the chain length L. We ask however for the profile of the (very slowly) transported quantity in the steady state. We find that this profile is a step-function, jumping in the middle of the chain from the value set by the left bath to the value set by the right bath. The width of the step grows not faster than √ L. This is confirmed by numerics on a disordered quantum spin chain of 9 spins and on much longer chains of harmonic oscillators. In the case of harmonic oscillators, we also observe a drastic breakdown of local equilibrium at the step, resulting in a chaotic temperature profile. arXiv:1610.06076v1 [cond-mat.stat-mech]

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Coupled transport in rotor models

Cited by 25 publications

References 46 publications

Coupled transport in a linear-stochastic Schrödinger equation

Coupled transport in a linear-stochastic Schrödinger equation

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

Step Density Profiles in Localized Chains

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