We compare two different scenarios at relativistic quantum heat engine by considering three-level energy, and two non-interacting fermion in one-dimensional potential well. The difference between the scenarios is about mechanism to get into excited state by two fermions. We apply iso-energetic cycle that consists of two iso-energetic and two iso-entropic processes, and then compute and compare the efficiency at both scenarios. We also compare it with non-relativistic case. The result is that one scenario has larger efficiency than the other that does not happen at non-relativistic case.
In this paper, the effects of the minimum lengths ( β ) to the efficiency of a quantum heat engine are considered. A particle in infinite one-dimensional potential well is used as the "working substance". We obtain quantized energy of particle in the presence of minimal length, and then we do the isoenergetic cycle. We calculate heat exchanged between the system and reservoir, and then we get the efficiency of the engine. We observe that the minimum length increases efficiency of the engine at the small width of the potential well.
IntisariPada paper ini, dibahas mesin panas kuantum dengan medium partikel relativistik pada sumur potensial 2 dimensi. Dipilih model mirip mesin Carnot dengan ekspansi isoenergetik dan isoentropik pada kedua dimensi sumur potensial. Diambil parameter ekspansi yang berbeda pada kedua dimensi. Dari perhitungan secara analitik, diperoleh nilai efisiensi mesin panas dalam pendekatan non-relativistik bergantung pada ukuran awal sumur potensial. Namun jika parameter ekspansi diambil sama, maka nilai efisiensi sama dengan kasus 1 dimensi.
ABSTRACTIn this paper, we discuss quantum heat engine with relativistic particle medium in two-dimensional potential well. We chose Carnot-like engine model with isoenergetic and isoentropic expansion to both dimensions of potensial well. We took different expansion parameter to both dimensions. From the analytic calculation, we obtained heat engine eficiency with non-relativistic approach depend on the sizes of potensial well. However, if we took same expansion parameter both dimensions, then the value of heat engine eficiency was equal to 1 dimension case.KATA KUNCI: Mesin panas relativistik, parameter ekspansi, efisiensi Carnot
We want to show extra-dimensions corrections for Fermionic Casimir Effect. Firstly, we determined quantization fermion field in Three dimensional Box. Then we calculated the Casimir energy for massless fermionic field confined inside a three-dimensional rectangular box with one compact extra-dimension. We use the MIT bag model boundary condition for the confinement and M4×S1 as the background spacetime. We use the direct mode summation method along with the Abel-Plana formula to compute the Casimir energy.We show analytically the extra-dimension corrections to the Fermionic Casimir effect to forward a new method of exploring the existence of the extra dimensions of the universe.
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