The Experts below are selected from a list of 294 Experts worldwide ranked by ideXlab platform
Jincan Chen - One of the best experts on this subject based on the ideXlab platform.
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Casimir effect of an Ideal Bose Gas trapped in a generic power-law potential
EPL (Europhysics Letters), 2012Co-Authors: Tongling Lin, Qiuping A. Wang, Jincan ChenAbstract:The Casimir effect of an Ideal Bose Gas trapped in a generic power-law potential and confined between two slabs with Dirichlet, Neumann, and periodic boundary conditions is investigated systematically, based on the grand potential of the Ideal Bose Gas, the Casimir potential and force are calculated. The scaling function is obtained and discussed. The special cases of free and harmonic potentials are also discussed. It is found that when T Tc, the Casimir force is an exponential decay function; and when T>>Tc, the Casimir force vanishes.
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Influence of regeneration on the performance of a Brayton refrigeration-cycle working with an Ideal Bose-Gas
Applied Energy, 2006Co-Authors: Yulin Yang, Bihong Lin, Jincan ChenAbstract:A general regenerative model of the Brayton refrigeration-cycle working with an Ideal Bose-Gas is used to discuss the influence of both the quantum degeneracy and regeneration on the performance of the cycle. Expressions for some important parameters, such as the refrigeration load, work input, coefficient of performance and minimum pressure-ratio, of the Brayton refrigeration-cycle are derived analytically and used to generate the refrigeration load, work input, coefficient of performance, and relative refrigeration-load versus pressure ratio curves. Moreover, several special cases are discussed in detail. The results obtained here will be helpful to reveal the performance characteristics of the Bose-Brayton refrigeration-cycle, further understand the difference and connection between the classical and quantum Brayton refrigeration-cycles, and theoretically expound the importance of the regeneration application for the Brayton refrigeration-cycle.
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Influence of quantum degeneracy and regeneration on the performance of Bose-Stirling refrigeration-cycles operated in different temperature regions
Applied Energy, 2006Co-Authors: Bihong Lin, Yue Zhang, Jincan ChenAbstract:Abstract The Stirling refrigeration cycle using an Ideal Bose-Gas as the working substance is called the Bose-Stirling refrigeration cycle, which is different from other thermodynamic cycles such as the Carnot cycle, Ericsson cycle, Brayton cycle, Otto cycle, Diesel cycle and Atkinson cycle working with an Ideal Bose Gas and may be operated across the critical temperature of Bose–Einstein condensation of the Bose system. The performance of the cycle is investigated, based on the equation of state of an Ideal Bose Gas. The inherent regenerative losses of the cycle are considered and the coefficient of performance and the amount of refrigeration of the cycle are calculated. The results obtained here are compared with those derived from the classical Stirling refrigeration cycle, using an Ideal Gas as the working substance. The influence of quantum degeneracy and inherent regenerative losses on the performance of the Bose Stirling refrigeration cycle operated in different temperature regions is discussed in detail, and consequently, general performance characteristics of the cycle are revealed.
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Low-temperature behaviour of an Ideal Bose Gas and some forbidden thermodynamic cycles
Journal of Physics A: Mathematical and General, 2003Co-Authors: Jincan Chen, Bihong LinAbstract:Based on the equation of state of an Ideal Bose Gas, the heat capacities at constant volume and constant pressure of the Bose system are derived and used to analyse the low-temperature behaviour of the Bose system. It is expounded that some important thermodynamic processes such as a constant pressure and an adiabatic process cannot be carried out from the region of T > Tc to that of T < Tc, where Tc is the critical temperature of Bose–Einstein condensation of the Bose system. Consequently, some typical thermodynamic cycles such as the Carnot cycle, Brayton cycle, Otto cycle, Ericsson cycle, Diesel cycle and Atkinson cycle cannot be operated across the critical temperature Tc of Bose–Einstein condensation of an Ideal Bose Gas.
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Quantum degeneracy effect on the performance of a Bose ericsson refrigeration cycle
Journal of Non-Equilibrium Thermodynamics, 2003Co-Authors: Bihong Lin, Jincan ChenAbstract:The Ericsson refrigeration cycle working with an Ideal Bose Gas is called the Bose Ericsson refrigeration cycle. The effect of quantum degeneracy on the performance of the cycle is investigated, based on the thermodynamicproperties of an Ideal Bose Gas. The inherent regenerative losses of the cycle are analyzed, and the coefficient of performance and the refrigeration load of the cycle are calculated. The results obtained here are compared with those derived from the classical Ericsson refrigeration cycle using an Ideal Gas as the working substance General performance characteristics of the Bose Ericsson refrigeration cycle are revealed.
Bihong Lin - One of the best experts on this subject based on the ideXlab platform.
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Influence of regeneration on the performance of a Brayton refrigeration-cycle working with an Ideal Bose-Gas
Applied Energy, 2006Co-Authors: Yulin Yang, Bihong Lin, Jincan ChenAbstract:A general regenerative model of the Brayton refrigeration-cycle working with an Ideal Bose-Gas is used to discuss the influence of both the quantum degeneracy and regeneration on the performance of the cycle. Expressions for some important parameters, such as the refrigeration load, work input, coefficient of performance and minimum pressure-ratio, of the Brayton refrigeration-cycle are derived analytically and used to generate the refrigeration load, work input, coefficient of performance, and relative refrigeration-load versus pressure ratio curves. Moreover, several special cases are discussed in detail. The results obtained here will be helpful to reveal the performance characteristics of the Bose-Brayton refrigeration-cycle, further understand the difference and connection between the classical and quantum Brayton refrigeration-cycles, and theoretically expound the importance of the regeneration application for the Brayton refrigeration-cycle.
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Influence of quantum degeneracy and regeneration on the performance of Bose-Stirling refrigeration-cycles operated in different temperature regions
Applied Energy, 2006Co-Authors: Bihong Lin, Yue Zhang, Jincan ChenAbstract:Abstract The Stirling refrigeration cycle using an Ideal Bose-Gas as the working substance is called the Bose-Stirling refrigeration cycle, which is different from other thermodynamic cycles such as the Carnot cycle, Ericsson cycle, Brayton cycle, Otto cycle, Diesel cycle and Atkinson cycle working with an Ideal Bose Gas and may be operated across the critical temperature of Bose–Einstein condensation of the Bose system. The performance of the cycle is investigated, based on the equation of state of an Ideal Bose Gas. The inherent regenerative losses of the cycle are considered and the coefficient of performance and the amount of refrigeration of the cycle are calculated. The results obtained here are compared with those derived from the classical Stirling refrigeration cycle, using an Ideal Gas as the working substance. The influence of quantum degeneracy and inherent regenerative losses on the performance of the Bose Stirling refrigeration cycle operated in different temperature regions is discussed in detail, and consequently, general performance characteristics of the cycle are revealed.
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Low-temperature behaviour of an Ideal Bose Gas and some forbidden thermodynamic cycles
Journal of Physics A: Mathematical and General, 2003Co-Authors: Jincan Chen, Bihong LinAbstract:Based on the equation of state of an Ideal Bose Gas, the heat capacities at constant volume and constant pressure of the Bose system are derived and used to analyse the low-temperature behaviour of the Bose system. It is expounded that some important thermodynamic processes such as a constant pressure and an adiabatic process cannot be carried out from the region of T > Tc to that of T < Tc, where Tc is the critical temperature of Bose–Einstein condensation of the Bose system. Consequently, some typical thermodynamic cycles such as the Carnot cycle, Brayton cycle, Otto cycle, Ericsson cycle, Diesel cycle and Atkinson cycle cannot be operated across the critical temperature Tc of Bose–Einstein condensation of an Ideal Bose Gas.
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Quantum degeneracy effect on the performance of a Bose ericsson refrigeration cycle
Journal of Non-Equilibrium Thermodynamics, 2003Co-Authors: Bihong Lin, Jincan ChenAbstract:The Ericsson refrigeration cycle working with an Ideal Bose Gas is called the Bose Ericsson refrigeration cycle. The effect of quantum degeneracy on the performance of the cycle is investigated, based on the thermodynamicproperties of an Ideal Bose Gas. The inherent regenerative losses of the cycle are analyzed, and the coefficient of performance and the refrigeration load of the cycle are calculated. The results obtained here are compared with those derived from the classical Ericsson refrigeration cycle using an Ideal Gas as the working substance General performance characteristics of the Bose Ericsson refrigeration cycle are revealed.
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The Performance Analysis of a Quantum Brayton Refrigeration Cycle with an Ideal Bose Gas
Open Systems & Information Dynamics, 2003Co-Authors: Bihong Lin, Jincan ChenAbstract:A Brayton refrigeration cycle using an Ideal Bose Gas as the working substance is simply referred to as a quantum Brayton refrigeration cycle, which consists of two constant-pressure and two adiabatic processes. The influence of quantum degeneracy on the performance of the cycle is investigated, based on the correction equation of state of an Ideal Bose Gas. The general expressions of the coefficient of performance, refrigeration load and work input of the cycle are calculated. The lowest temperature of the working substance and the minimum pressure ratio of the two constant-pressure processes for a quantum Brayton refrigeration cycle are determined. The variations of the relative refrigeration load with the temperature of the cooled space and the pressure of the low constant-pressure process are discussed for three special cases. Some curves related to the important performance parameters are given. The results obtained here are compared with those of a classical Brayton refrigeration cycle using an Ideal Gas as the working substance. Some significant conclusions are obtained.
Werner Krauth - One of the best experts on this subject based on the ideXlab platform.
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Off-diagonal long-range order, cycle probabilities, and condensate fraction in the Ideal Bose Gas
Physical Review E, 2007Co-Authors: Maguelonne Chevallier, Werner KrauthAbstract:We discuss the relationship between the cycle probabilities in the path-integral representation of the Ideal Bose Gas, off-diagonal long-range order, and Bose-Einstein condensation. Starting from the Landsberg recursion relation for the canonic partition function, we use elementary considerations to show that in a box of size ${L}^{3}$ the sum of the cycle probabilities of length $k⪢{L}^{2}$ equals the off-diagonal long-range order parameter in the thermodynamic limit. For arbitrary systems of Ideal bosons, the integer derivative of the cycle probabilities is related to the probability of condensing $k$ bosons. We use this relation to derive the precise form of the ${\ensuremath{\pi}}_{k}$ in the thermodynamic limit. We also determine the function ${\ensuremath{\pi}}_{k}$ for arbitrary systems. Furthermore, we use the cycle probabilities to compute the probability distribution of the maximum-length cycles both at $T=0$, where the Ideal Bose Gas reduces to the study of random permutations, and at finite temperature. We close with comments on the cycle probabilities in interacting Bose Gases.
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Off-diagonal long-range order, cycle probabilities, and condensate fraction in the Ideal Bose Gas.
Physical review. E Statistical nonlinear and soft matter physics, 2007Co-Authors: Maguelonne Chevallier, Werner KrauthAbstract:We discuss the relationship between the cycle probabilities in the path-integral representation of the Ideal Bose Gas, off-diagonal long-range order, and Bose-Einstein condensation. Starting from the Landsberg recursion relation for the canonic partition function, we use elementary considerations to show that in a box of size L3 the sum of the cycle probabilities of length k>>L2 equals the off-diagonal long-range order parameter in the thermodynamic limit. For arbitrary systems of Ideal bosons, the integer derivative of the cycle probabilities is related to the probability of condensing k bosons. We use this relation to derive the precise form of the pik in the thermodynamic limit. We also determine the function pik for arbitrary systems. Furthermore, we use the cycle probabilities to compute the probability distribution of the maximum-length cycles both at T=0, where the Ideal Bose Gas reduces to the study of random permutations, and at finite temperature. We close with comments on the cycle probabilities in interacting Bose Gases.
Maguelonne Chevallier - One of the best experts on this subject based on the ideXlab platform.
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Off-diagonal long-range order, cycle probabilities, and condensate fraction in the Ideal Bose Gas
Physical Review E, 2007Co-Authors: Maguelonne Chevallier, Werner KrauthAbstract:We discuss the relationship between the cycle probabilities in the path-integral representation of the Ideal Bose Gas, off-diagonal long-range order, and Bose-Einstein condensation. Starting from the Landsberg recursion relation for the canonic partition function, we use elementary considerations to show that in a box of size ${L}^{3}$ the sum of the cycle probabilities of length $k⪢{L}^{2}$ equals the off-diagonal long-range order parameter in the thermodynamic limit. For arbitrary systems of Ideal bosons, the integer derivative of the cycle probabilities is related to the probability of condensing $k$ bosons. We use this relation to derive the precise form of the ${\ensuremath{\pi}}_{k}$ in the thermodynamic limit. We also determine the function ${\ensuremath{\pi}}_{k}$ for arbitrary systems. Furthermore, we use the cycle probabilities to compute the probability distribution of the maximum-length cycles both at $T=0$, where the Ideal Bose Gas reduces to the study of random permutations, and at finite temperature. We close with comments on the cycle probabilities in interacting Bose Gases.
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Off-diagonal long-range order, cycle probabilities, and condensate fraction in the Ideal Bose Gas.
Physical review. E Statistical nonlinear and soft matter physics, 2007Co-Authors: Maguelonne Chevallier, Werner KrauthAbstract:We discuss the relationship between the cycle probabilities in the path-integral representation of the Ideal Bose Gas, off-diagonal long-range order, and Bose-Einstein condensation. Starting from the Landsberg recursion relation for the canonic partition function, we use elementary considerations to show that in a box of size L3 the sum of the cycle probabilities of length k>>L2 equals the off-diagonal long-range order parameter in the thermodynamic limit. For arbitrary systems of Ideal bosons, the integer derivative of the cycle probabilities is related to the probability of condensing k bosons. We use this relation to derive the precise form of the pik in the thermodynamic limit. We also determine the function pik for arbitrary systems. Furthermore, we use the cycle probabilities to compute the probability distribution of the maximum-length cycles both at T=0, where the Ideal Bose Gas reduces to the study of random permutations, and at finite temperature. We close with comments on the cycle probabilities in interacting Bose Gases.
Fangzhong Guo - One of the best experts on this subject based on the ideXlab platform.
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Quantum degeneracy effect on performance of irreversible otto cycle with Ideal Bose Gas
Energy Conversion and Management, 2006Co-Authors: Lingen Chen, Fengrui Sun, Fangzhong GuoAbstract:Abstract An Otto cycle working with an Ideal Bose Gas is called a Bose Otto cycle. The internal irreversibility of the cycle is included in the factors of internal irreversibility degree. The quantum degeneracy effect on the performance of the cycle is investigated based on quantum statistical mechanics and thermodynamics. Variations of the maximum work output ratio R W and the efficiency ratio y with temperature ratio τ are examined, which reveal the influence of the quantum degeneracy of the working substance on the performance of a Bose Otto cycle. It is shown that the results obtained herein are valid under both classical and quantum Ideal Gas conditions.
