Simple analytical model of a thermal diode

Kaushik, Saurabh; Kaushik, Sachin; Marathe, Rahul

doi:10.1140/epjb/e2018-90038-4

Cited by 6 publications

(4 citation statements)

References 40 publications

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“…An important step in this direction is devising heat rectifiers (diodes) that allow heat to flow in a preferential direction. Possible pathways to thermal rectification were proposed in classical systems exploiting tailored transport in asymmetric non-linear chains [1][2][3][4][5][6][7]. In such systems, the rectification mechanism stems from a temperature dependent mismatch in the power spectrum of portions of the nonlinear chain.…”

Section: Introductionmentioning

confidence: 99%

Heat current rectification in segmented XXZ chains

et al. 2019

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We study the rectification of heat current in an XXZ chain segmented in two parts. We model the effect of the environment with Lindblad heat baths. We show that, in our system, rectification is large for strong interactions in half of the chain and if one bath is at cold enough temperature. For the numerically accessible chain lengths, we observe that the rectification increases with the system size. We gain insight in the rectification mechanism by studying two-time correlations in the steady state. The presence of interactions also induces a strong nonlinear response to the temperature difference, resulting in superlinear and negative differential conductance regimes. arXiv:1809.01917v2 [cond-mat.stat-mech]FIG. 3: Interface tunneling. Rectification ratio versus anisotropy ∆ for different magnitudes of the tunneling at the interface between the interacting and the non-interacting halves of the chain (purple circles for J N/2 = 0.1, blue squares for J N/2 = 0.2, red triangles for J N/2 = 0.5 and green diamonds for J N/2 = 1.0). The smaller the interface tunneling J N/2 the stronger the rectification effect, however larger are the resonance effects due to finite size. Other parameters are N = 8, TC = 0.1 and TH = 10.

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Section: Introductionmentioning

confidence: 99%

Heat current rectification in segmented XXZ chains

et al. 2019

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“…Closely related, in a very recent work, the diode effect was shown in the so-called temperature-gradient harmonic oscillator chains [18]. The two-segment chain of classical spins in contact with multiple heat baths has also been studied [19], as well as quantum systems, to show rectification of the heat flow between two thermal baths through a pair of interacting qubits [20] or even quantum spin chains [21].…”

Section: Introductionmentioning

confidence: 88%

“…2, an illustrative example shows the good agreement between the first-order theoretical prediction, Eq. (19), and the numerical evaluation of Eq. ( 13), performed over trajectories obtained from the numerical integration of the equations of motion, using an eighthorder Runge-Kutta algorithm [22].…”

Section: Heat Flowmentioning

confidence: 99%

Analytical results for a minimalist thermal diode

Defaveri,

Anteneodo

2021

Preprint

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We consider a system consisting of two interacting classical particles, each one subject to an onsite potential and to a Langevin thermal bath. We analytically calculate the heat current that can be established through the system when the bath temperatures are different, for weak nonlinear forces. We explore the conditions under which the diode effect emerges when inverting the temperature difference. Despite the simplicity of this two-particle diode, an intricate dependence on the system parameters is put in evidence. Moreover, behaviors observed for long chains of particles can be extracted, for instance, the dependence of the flux with the interfacial stiffness and type of forces present, as well as the dependencies on the temperature required for rectification. These analytical results can be a benchmark to foresee the distinct role that diverse types of nonlinearity and asymmetry play in thermal conduction and rectification.

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“…In a macroscopic, phenomenological setting, a thermal conductivity which depends on space and temperature has been found to be crucial [12]. Rectification can be used in thermal diodes or heat valves which have been proposed in classical [13][14][15][16][17][18][19][20][21] as well as in quantum systems [10,11,[22][23][24][25][26]. As an alternative to nonlinearities, a coupling of the system to self-consistent reservoirs which guide the constituents of a chain to local equilibrium have been studied [27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Rectification of heat currents across nonlinear quantum chains: a versatile approach beyond weak thermal contact

et al. 2018

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Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile approach for mesoscopic devices operating with continuous degrees of freedom is developed valid from low up to strong system-reservoir couplings and over the whole temperature range. It allows to cover weak to moderate nonlinearities and is applicable to various scenarios including the presence of disorder and external time-dependent fields. As a particular application coherent one-dimensional chains of anharmonic oscillators terminated by thermal reservoirs are analyzed with particular focus on rectification. The efficiency of the method opens a door to treat also rather long chains and extensions to higher dimensions and geometries.

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Simple analytical model of a thermal diode

Cited by 6 publications

References 40 publications

Heat current rectification in segmented XXZ chains

Heat current rectification in segmented XXZ chains

Analytical results for a minimalist thermal diode

Rectification of heat currents across nonlinear quantum chains: a versatile approach beyond weak thermal contact

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