Dulong–Petit law in a van der Waals theory of the crystalline state

Llano, M. de; Ramírez, Sergio Castañeda; Vucetich, H.

doi:10.1119/1.12485

Cited by 4 publications

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“…It was demonstrated that the effective density of such a chain if frequency-dependent and it may be negative, when the frequency of the external force approaches the resonance frequency from above [23,[28][29][30][31]. We adopt that the Dulong-Petit law is valid in the high temperature limit for the molar thermal capacity of the introduced metamaterial [33][34][35][36][37].…”

Section: Discussionmentioning

confidence: 99%

“…3 due to the fact that we deal with the 1D chain of oscillators. It is noteworthy that the Dulong-Petit law works well in the realms of the both of classical and quantum mechanics, if the springs connecting the elements of lattice are supposed to be ideal [33][34][35][36][37]. The deviations from the Dulong-Petit law become essential when anharmonic effects are considered [38]; we restrict our treatment by the assumption that elastic springs are ideal.…”

Section: Negative Thermal Capacity In the Condensed Matter Demonstrating Negative Effective Densitymentioning

confidence: 99%

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Metamaterials Demonstrating Negative Thermal Capacity

Bormashenko¹,

Shulzinger²

2021

Preprint

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One-dimensional chain of core-shell pairs connected by ideal springs enables design of the metamaterial demonstrating the negative effective density and negative specific thermal capacity. We assume that the molar thermal capacity of the reported metamaterial is governed by the Dulong-Petit law in its high temperature limit. The specific thermal capacity depends of the density of the metamaterial; thus, it is expected to be negative, when the effective density of the chain is negative. The range of the frequencies enabling the effect of the negative thermal capacity is established. Dependence of the effective thermal capacity on the exciting frequency for various core/shell mass ratios is elucidated. The effective thermal capacity becomes negative in the vicinity of the local resonance frequency ω0 in the situation when the frequency ω approaches ω0 from above. The effect of the negative effective thermal capacity is expected in metals in the vicinity of the plasma frequency.

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Section: Discussionmentioning

confidence: 99%

Section: Negative Thermal Capacity In the Condensed Matter Demonstrating Negative Effective Densitymentioning

confidence: 99%

Metamaterials Demonstrating Negative Thermal Capacity

Bormashenko¹,

Shulzinger²

2021

Preprint

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“…At high temperatures, the heat capacity saturates and is almost temperature independent as obtained from the Dulong–Petit law. 50 κ is governed by MFP and is proportional to 1/ T α , usually α ∼ 1. However, the rapid decrease in κ by 1/ T as the temperature increases is detrimental to the effective heat dissipation of nanoelectronics.…”

Section: Thermal Transport In 2d Materialsmentioning

confidence: 99%

Efficient modulation of thermal transport in two-dimensional materials for thermal management in device applications

et al. 2023

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“…3 due to the fact that we deal with the 1D chain of oscillators. It is noteworthy that the Dulong-Petit law works well in the realms of the both of classical and quantum mechanics, if the springs connecting the elements of lattice are supposed to be ideal [30][31][32][33][34]. The deviations from the Dulong-Petit law become essential when anharmonic effects are considered [35]; we restrict our treatment by the assumption that elastic springs are ideal.…”

Section: Introductionmentioning

confidence: 99%

Metamaterials Demonstrating Negative Thermal Capacity

Bormashenko¹,

Shulzinger²

2020

Preprint

View full text Add to dashboard Cite

: One-dimensional chain of core-shell pairs connected by ideal springs enables design of the metamaterial demonstrating the negative effective density and negative specific thermal capacity. We assume that the molar thermal capacity of the reported metamaterial is governed by the Dulong-Petit law in its high temperature limit. The specific thermal capacity depends of the density of the metamaterial; thus, it is expected to be negative, when the effective density of the chain is negative. The range of the frequencies enabling the effect of the negative thermal capacity is established. Dependence of the effective thermal capacity on the exciting frequency for various core/shell mass ratios is elucidated. The effective thermal capacity becomes negative in the vicinity of the local resonance frequency ω0 in the situation when the frequency ω approaches ω0 from above. The effect of the negative effective thermal capacity is expected in metals in the vicinity of the plasma frequency.

show abstract

Dulong–Petit law in a van der Waals theory of the crystalline state

Cited by 4 publications

References 0 publications

Metamaterials Demonstrating Negative Thermal Capacity

Metamaterials Demonstrating Negative Thermal Capacity

Efficient modulation of thermal transport in two-dimensional materials for thermal management in device applications

Metamaterials Demonstrating Negative Thermal Capacity

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