Thermodynamics of gases in nano cavities

Fırat, Coşkun; Şişman, Altuğ; Öztürk, Z. Fatih

doi:10.1016/j.energy.2009.08.020

Cited by 27 publications

(24 citation statements)

References 12 publications

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“…Particles confined in nanoscale domains cannot get arbitrarily close to the impenetrable boundaries of the domain due to their wave nature. As a consequence of ensemble average of quantum probability density, particle density goes to zero near to the boundaries and particles occupy smaller volume (effective volume) than the actual one [56][57][58][59][60] . This inhomogeneous density region is called QBL.…”

Section: Resultsmentioning

confidence: 99%

“…For Maxwell-Boltzmann gases, thickness of this QBL is obtained as δ = Lc/2 √ π which is in the order of thermal de Broglie wavelength of particles. In literature, QBL method has been first used to obtain QSE terms for thermodynamic properties directly from their conventional expressions without solving Schrödinger equation and using PSF or Weyl conjecture 56,58 . Different methods to calculate QSE on thermodynamic properties are briefly discussed in Methods section.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Aydin

Şişman

2019

Physics Letters A

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Thermodynamic properties of confined systems depend on sizes of the confinement domain due to quantum nature of particles. Here we show that shape also enters as a control parameter on thermodynamic state functions. By considering specially designed confinement domains, we separate the influences of quantum size and shape effects from each other and demonstrate how shape effects alone modify Helmholtz free energy, entropy and internal energy of a confined system. We propose an overlapped quantum boundary layer method to analytically predict quantum shape effects without even solving Schrödinger equation or invoking any other mathematical tools. Thereby we reduce a thermodynamic problem into a simple geometric one and reveal the profound link between geometry and thermodynamics. We report also a torque due to quantum shape effects. Furthermore, we introduce isoformal, shape preserving, process which opens the possibility of a new generation of thermodynamic cycles operating at nanoscale with unique features. arXiv:1807.02415v1 [cond-mat.mes-hall]

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Aydin

Şişman

2019

Physics Letters A

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“…size and shape of domain. It is interesting that the addition control variables make the gas confined in finite domain cannot fill all the space of the domain and the density goes to zero within the layer approached by the boundary of domain [17,18]. Then, a finite scaled, i.e.…”

Section: Cycle Modelmentioning

confidence: 99%

Micro-/nanoscaled irreversible Otto engine cycle with friction loss and boundary effects and its performance characteristics

Nie

Liao

Zhang

et al. 2010

Energy

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“…For Fermi (FD) and Bose (BE) gases, the local density obtained by using dimensionless energy eigenvalues , which are the solutions of Schrödinger equation for the LJ potential, is expressed as follows (Sisman, Ozturk, & Firat, 2007;Firat, Sisman & Ozturk, 2010;Firat & Sisman, 2009):…”

Section: Derivation Of the Density Distribution Equationsmentioning

confidence: 99%

“…All the density dependent thermodynamic properties are affected by the inhomogeneity in the density distribution (Sisman, Ozturk, & Firat, 2007;Firat, Sisman & Ozturk, 2010;Firat & Sisman, 2009).…”

Section: Introductionmentioning

confidence: 99%

Effects of Particle-Wall Interactions on the Thermodynamic Behavior of Gases at the Nano Scale

Şişman¹,

Fırat²,

Öztürk³

2011

Int. J. Thermo

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The thermodynamic behavior of gases confined in nano structures is considerably different than those in macro ones due to the effects of both particle-wall interactions and the wave character of particles. The homogeneous density distribution of a gas at thermodynamic equilibrium is disturbed by these effects. Because of particle-wall interactions, the local density of a gas changes drastically near the domain boundaries. Also, the wave character of the particles causes an inhomogeneous density distribution, especially near the boundaries. Consequently, the apparent density (number of particles over the domain volume) is different than the real one. All the densitydependent thermodynamic properties are affected by the inhomogeneity in the density distribution. Therefore, it is important to consider these effects on local density to analyze the thermodynamic behaviors of gases confined in nano structures. The detailed analysis of these effects on local density also gives a base of knowledge for the experimental verification of quantum size effects on local density due to the wave character of particles. In this study, the density distributions of classical (Maxwellian) and quantum (both Fermi and Bose) gases are calculated and investigated by considering both particle-wall interactions and quantum size effects. The results can be used for experimental verification of quantum size effects on gas density as well as the modeling of nano heat engines.

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Thermodynamics of gases in nano cavities

Cited by 27 publications

References 12 publications

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Micro-/nanoscaled irreversible Otto engine cycle with friction loss and boundary effects and its performance characteristics

Effects of Particle-Wall Interactions on the Thermodynamic Behavior of Gases at the Nano Scale

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