scholarly journals Thermodynamic Equivalent between Noninteracting Bose and Fermi Gas in Metallic Carbon Nanotubes

2014 ◽  
Vol 24 (3S2) ◽  
Author(s):  
Chu Thuy Anh ◽  
Pham Thi Kim Hang ◽  
Pham Van Dien ◽  
Tran Thi Thanh Van ◽  
Nguyen Tri Lan ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Fermi Gas ◽  
Temperature Limit ◽  
Dimensional System ◽  
Electron Hole ◽  
Linear Dispersion ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Ideal Gases ◽  
Lower Temperature

The equivalent between Bose and Fermi ideal gases is usually taken in high temperature limit only. Recently, there has been considerable interest in surprising thermodynamic ``equivalences'' between certain ideal Bose and spineless Fermi gas systems in lower temperature. In this work, we follow that idea to investigate the quasi one-dimensional system of metallic carbon nanotubes. Due to the linear dispersion law, the non-interacting Bose and Fermi gases in metallic carbon nanotubes are equivalent. This equivalence could be applied to the gas systems of exciton photon (Bose particles) and electron hole (Fermi particles) in metallic carbon nanotubes.

Fe nanowires in carbon nanotubes as an example of a one-dimensional system of exchange-coupled ferromagnetic nanoparticles

JETP Letters ◽  
2003 ◽  
Vol 78 (4) ◽  
pp. 236-240 ◽  
Author(s):  
R. S. Iskhakov ◽  
S. V. Komogortsev ◽  
A. D. Balaev ◽  
A. V. Okotrub ◽  
A. G. Kudashov ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Dimensional System ◽  
Ferromagnetic Nanoparticles ◽  
One Dimensional

scholarly journals Analytical results of the one-dimensional Hubbard model in the high-temperature limit

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
I. C. Charret ◽  
E. V. Corrêa Silva ◽  
S. M. de Souza ◽  
O. Rojas Santos ◽  
M. T. Thomaz ◽  
...  
Keyword(s):  
High Temperature ◽  
Hubbard Model ◽  
Temperature Limit ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Analytical Results ◽  
The One

scholarly journals High-temperature limit of the resonant Fermi gas

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Vudtiwat Ngampruetikorn ◽  
Meera M. Parish ◽  
Jesper Levinsen
Keyword(s):  
High Temperature ◽  
Fermi Gas ◽  
Temperature Limit ◽  
High Temperature Limit

Classical field descriptions of one-dimensional systems

1983 ◽  
Vol 61 (4) ◽  
pp. 550-563 ◽  
Author(s):  
C. Bourbonnais ◽  
L. G. Caron
Keyword(s):  
Free Energy ◽  
Temperature Limit ◽  
Energy Functional ◽  
Classical Field ◽  
Static Approximation ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Amplitude Fluctuations ◽  
Field Transformation ◽  
Rigorous Treatment

In this paper we discuss the limitations of classical field treatments of one-dimensional systems in the static approximation. Two exactly solvable Hamiltonians, the ferromagnetic Ising model, and its extension to a zero-width half-filled band, are studied after their transformation to a classical field form via the Hubbard–Stratonovich identity. The more usual two-field transformation consists of using one field to describe the divergent order parameter and another to represent the nondivergent modes. The fluctuations in this latter one are usually neglected and this is shown to lead to incorrect thermodynamic behavior throughout the critical region, which is unusually large in one-dimensional systems, and even beyond to the high temperature limit. Any limited expansion of the free energy is further seen to lead to incorrect treatment of the amplitude fluctuations. A rigorous treatment of both fields is required. Alternately, a one-field transformation can assure a simpler approach although all terms in the free energy expansion must be retained. The findings are extrapolated to other known Hamiltonians: Hubbard, Peierls and spin-Peierls, and Bardeen–Cooper–Schrieffer (BCS) superconductivity. The Peierls case is examined in some detail because the usual one-field free energy functional is not obtained by a straightforward use of the Hubbard–Stratonovich transformations. As for the BCS Hamiltonian, it is seen to be in a special class because both symmetry fields are equally divergent and are automatically treated on an equal footing.

scholarly journals Metamaterials Demonstrating Negative Thermal Capacity

2020 ◽  
Author(s):  
Edward Bormashenko ◽  
Evgeny Shulzinger
Keyword(s):  
Plasma Frequency ◽  
Temperature Limit ◽  
Thermal Capacity ◽  
Effective Density ◽  
Core Shell ◽  
Dimensional Chain ◽  
Shell Mass ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Exciting Frequency

: 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.

scholarly journals Metamaterials Demonstrating Negative Thermal Capacity

2021 ◽  
Author(s):  
Edward Bormashenko ◽  
Evgeny Shulzinger
Keyword(s):  
Plasma Frequency ◽  
Temperature Limit ◽  
Thermal Capacity ◽  
Effective Density ◽  
Core Shell ◽  
Dimensional Chain ◽  
Shell Mass ◽  
One Dimensional ◽  
High Temperature Limit ◽  
Exciting Frequency

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.

Sign in / Sign up

Export Citation Format

Share Document