Molecular heat pump

Segal, Dvira; Nitzan, Abraham

doi:10.1103/physreve.73.026109

Cited by 171 publications

(170 citation statements)

References 36 publications

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“…This is the well established quantum Master-equation limit, used in various applications [21,22,44,45,55,56,57]. We can also extend the calculations to non-stationary situations.…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…Calculations at the level of the Master equation, assuming weak system-bath couplings while ignoring coherence effects, have revealed interesting dynamics, e.g. thermal rectification [21], negative differential resistance [44], and pumping of heat [45]. It is of interest to derive a general expression for the heat current which is not limited to the weak coupling limit.…”

Section: Current Operator In Hybrid Structuresmentioning

confidence: 99%

“…It can be shown that the flux operator (10) reduces to the stationary heat flux expression utilized in Refs. [21,44,45] when system-bath couplings are weak and the Markovian limit is assumed,…”

Section: Current Operator In Hybrid Structuresmentioning

confidence: 99%

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Energy flux operator, current conservation and the formal Fourier's law

Wu¹,

Segal²

2008

J. Phys. A: Math. Theor.

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By revisiting previous definitions of the heat current operator, we show that one can define a heat current operator that satisfies the continuity equation for a general Hamiltonian in one dimension. This expression is useful for studying electronic, phononic and photonic energy flow in linear systems and in hybrid structures. The definition allows us to deduce the necessary conditions that result in current conservation for general-statistics systems. The discrete form of the Fourier's Law of heat conduction naturally emerges in the present definition.

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“…This is the well established quantum Master-equation limit, used in various applications [21,22,44,45,55,56,57]. We can also extend the calculations to non-stationary situations.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Section: Current Operator In Hybrid Structuresmentioning

confidence: 99%

See 1 more Smart Citation

Energy flux operator, current conservation and the formal Fourier's law

Wu¹,

Segal²

2008

J. Phys. A: Math. Theor.

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“…So far, many proposals have been provided to dynamically control the energy flow between a cold reservoir and a hot one [2][3][4][5][6][7][8][9]. As a result of these investigations [3,6], there is no way to pump the energy from the cold side to the hot side in classical-oscillator systems by force driving, though heat pump can be implemented in classical spin chains [3].…”

Section: Introductionmentioning

confidence: 99%

Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model

2013

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We study the quantum geometric heat flux in the nonequilibrium spin-boson model. By adopting the noninteracting-blip approximation that is able to accommodate the strong system-bath coupling, we show that there exists a nonzero geometric heat flux only when the two-level system is nondegenerate. Moreover, the pumping, no pumping, and dynamic control of geometric heat flux are discussed in detail, compared to the results with Redfield weak-coupling approximation. In particular, the geometric energy transfer induced by modulation of two system-bath couplings is identified, which is exclusive to quantum transport in the strong system-bath coupling regime.

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“…Unsatiable demands for thermal management/control in our daily life ranges from thermal isolating to efficient heat dissipation have driven us to better understand heat conduction from molecular level. Recent years has witnessed a fast development including theoretical proposals in functional thermal devices such as thermal diode that rectifies heat current [1], thermal transistor that switches and modulates heat current [2], heat pump that carries heat against temperature bias [3], and experimental works such as nanotube phonon waveguide [4], thermal conductance tuning [5] and nano-scale solid state thermal rectifier [6]. More importantly, logic operations with phonons/heat have been demonstrated theoretically [7], which, in principle, has opened the door for a brand new subject -phononics -a science and engineering of processing information with heat [8].…”

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confidence: 99%

Thermal Memory: A Storage of Phononic Information

2008

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Memory is an indispensable element for computer besides logic gates. In this Letter we report a model of thermal memory. We demonstrate via numerical simulation that thermal (phononic) information stored in the memory can be retained for a long time without being lost and more importantly can be read out without being destroyed. The possibility of experimental realization is also discussed. [7], which, in principle, has opened the door for a brand new subject -phononics -a science and engineering of processing information with heat [8]. The question arises naturally and immediately: whether a thermal (phononic) memory that can store information is possible?In this Letter, we would like to give a definite answer by studying the transient process, which in fact exhibits much richer phenomena than asymptotical stationary state does, of a non-equilibrium system. This topic has been however rarely studied so far.Like an electronic memory that records data by maintaining voltage in a capacitance, a thermal memory stores data by keeping temperature somewhere. An ideal memory keeps the data forever without fading. This is never possible for a thermal system because sooner or later randomness of the heat (fluctuation) will eliminate any record of the history. However this problem is not serious from application point of view since we only need to maintain the data until we refresh it or read it. This is exactly the case for the widely used Dynamic Random Access Memory (DRAM) that needs refresh operation regularly. Any system that keeps temperature (thus data) somewhere for a very long time might be a candidate for thermal memory, such as breather and localized * Correspondence should be addressed to: phylibw@nus.edu.sg harmonic mode etc. However perturbation is unavoidable in a thermal system, especially as the data are read (i.e., the local temperature is measured). The breather and harmonic mode, even if do not collapse immediately under the perturbation[9], are not able to recover their original state. Because the energy that is changed by the perturbation, e.g., the necessary energy exchange in order to build equilibrium between the system and the thermometer during the data reading (temperature measuring) process, is not recoverable in the autonomous systems without an external energy source/sink. We thus have to turn to a thermal-circuit with power supply, i.e., driven by external heat bath.Like an electric circuit, the temperature and heat current distributions of a thermal-circuit are determined by Kirchhoff's laws. In any linear thermal-circuit, i.e. all thermal resistances are fixed, independent of temperature and/or temperature drop, the steady state that satisfies Kirchhoff's laws must be unique. This unique state must be stable, namely under any perturbation the system will eventually return to this state. However in order to work as a thermal memory, a thermal-circuit must have more than one stable steady states, such a bi-stable thermal-circuit is only possible in the presence of nonlinear thermal devices...

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Molecular heat pump

Cited by 171 publications

References 36 publications

Energy flux operator, current conservation and the formal Fourier's law

Energy flux operator, current conservation and the formal Fourier's law

Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model

Thermal Memory: A Storage of Phononic Information

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