Quantum theory of the electromagnetic response of metal nanofilms

Panasyuk, George Y.; Schotland, John C.; Markel, Vadim A.

doi:10.1103/physrevb.84.155460

Cited by 8 publications

(8 citation statements)

References 41 publications

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“…Taking into account the structure of expressions (44) and (45), one can rewrite J (1) ν and J (2) ν in the following form: (50) and J (2)…”

Section: Quasi-static Heat Balancementioning

confidence: 99%

“…For this reason, study of size effects in nanostructured materials occupies an important part of contemporary research. While study of size and quantum effects in electromagnetic response of nanoparticles have a rather long history (see, for example, Refs [40][41][42][43][44]), systematic investigation of the role of these effects and their influence on thermal properties of small bodies took part only recently. In Refs.…”

Section: Introductionmentioning

confidence: 99%

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Modeling the quasistatic energy transport between nanoparticles

Panasyuk

Yerkes

2015

Phys. Rev. E

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We consider phononic energy transport between nanoparticles mediated by a quantum particle. The nanoparticles are considered as thermal reservoirs described by ensembles of finite numbers of harmonic oscillators within the Drude-Ullersma model having, in general, unequal mode spacings Δ(1) and Δ(2), which amount to different numbers of atoms in the nanoparticles. The quasistatic energy transport between the nanoparticles on the time scale t∼1/Δ(1,2) is investigated using the generalized quantum Langevin equation. We find that double degeneracy of system's eigenfrequencies, which occurs in the case of identical nanoparticles, is removed when the mode spacings become unequal. The equations describing the dynamics of the averaged eigenmode energies are derived and solved, and the resulting expression for the energy current between the nanoparticles is obtained and explored. Unlike the case when the thermodynamic limit is assumed resulting in time-independent energy current, finite-size effects result in temporal behavior of the energy current that evinces reversibility features combined with decay and possesses peculiarities at time moments t=2πn/Δ(1)+2πm/Δ(2) for non-negative integers n and m. When Δ(1,2)→0, an expression for the heat current obtained previously under assumption of the thermodynamic limit is reproduced. The energy current between two platinum nanoparticles mediated by a carbon oxide molecule is considered as an application of the developed model.

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“…Taking into account the structure of expressions (44) and (45), one can rewrite J (1) ν and J (2) ν in the following form: (50) and J (2)…”

Section: Quasi-static Heat Balancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling the quasistatic energy transport between nanoparticles

Panasyuk

Yerkes

2015

Phys. Rev. E

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“…For this reason, study of size effects in nano-structured materials became an important part of modern research. While study of size and quantum effects in electromagnetic response of nanoparticles have a rather long history [41][42][43][44][45], exploration of the role of size effects in thermal properties of small particles took part only recently. In particular, in [46][47][48], static thermodynamic properties of nanostructures, such as the local structure of the grain boundary in ultrananocrystals, phonon density of states in nanostructures, and order-disorder transition in nanoparticles were investigated.…”

Section: Introductionmentioning

confidence: 99%

Size effects in energy transport between thermal contacts mediated by nanoparticles

2019

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We investigate size effects in phononic energy transport in a system of two nanoparticles interconnected by a molecule and attached to thermal contacts also by molecules. In the considered closed system, the nanoparticles and contacts are described by ensembles of finite numbers of harmonic oscillators within the Drude-Ullersma model. Macroscopic character of the contacts is simulated by a large value of the ratio ∆/∆B = n (n > 100) of mode spacings ∆ and ∆B corresponding to the nanoparticles and contacts, respectively. Quasistatic energy transport on the time scale ∆ −1 is investigated. Equations describing the dynamics of the averaged eigenmode energies that belong to the nanoparticles and contacts are derived and solved. The resulting expressions for the energy current exiting (entering) the contacts as well as the energy current between the nanoparticles are obtained and investigated. The latter current accounts for energy accumulation by (depletion from) the nanoparticles. The finite size effects result in reversibility features and peculiarities at time moments t = 2πℓ∆ −1 for non-negative integers ℓ. They are qualitatively the same as in a previously studied system of two equal nanoparticles mediated by a molecule, despite the presence of the macroscopic contacts. The thermal conductance of the whole nanojunction is derived and explored. The energy currents and thermal conductance of the nanojunction in a case when its parameters are known from the experiment are computed using the developed model.

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“…One profound theoretical question is related to the applicability of macroscopic theories when a particle has only few nanometers in size. While study of size and quantum effects and their influence on linear and nonlinear response on electromagnetic fields have a rather long history (see, for example, Refs [36][37][38][39][40]), systematic investigation of the role of these effects and its influence on thermal properties of small bodies took part only recently. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Size effects in long-term quasistatic heat transport

Panasyuk

Yerkes

2013

Phys. Rev. E

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We consider finite size effects on heat transfer between thermal reservoirs mediated by a quantum system, where the number of modes in each reservoir is finite. Our approach is based on the generalized quantum Langevin equation and the thermal reservoirs are described as ensembles of oscillators within the DrudeUllersma model. A general expression for the heat current between the thermal reservoirs in the long-time quasi-static regime, when an observation time is of the order of ∆ −1 and ∆ is the mode spacing constant of a thermal reservoir, is obtained. The resulting equations that govern the long-time relaxation for the mode temperatures and the average temperatures of the reservoirs are derived and approximate analytical solutions are found. The obtained time dependences of the temperatures and the resulting heat current reveal peculiarities at t = 2πm/∆ with nonnegative integers m and the heat current vanishes non-monotonically when t → ∞. The validity of Fourier's law for a chain of finite-size macroscopic subsystems is considered. As is shown, for characteristic times of the order of ∆ −1 the temperatures of subsystems' modes deviate from each other and the validity of Fourier's law cannot be established. In a case when deviations of initial temperatures of the subsystems from their average value are small, t → ∞ asymptotic values for the mode temperatures do not depend on a mode's number and are the same as if Fourier's law were valid for all times.

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Quantum theory of the electromagnetic response of metal nanofilms

Cited by 8 publications

References 41 publications

Modeling the quasistatic energy transport between nanoparticles

Modeling the quasistatic energy transport between nanoparticles

Size effects in energy transport between thermal contacts mediated by nanoparticles

Size effects in long-term quasistatic heat transport

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