Abstract
This study aims to determine the thermodynamic properties of the parastatistics system of order two. The thermodynamic properties to be searched include the Grand Canonical Partition Function (GCPF) Z, and the average number of particles N. These parastatistics systems is in a more general form compared to quantum statistical distribution that has been known previously, i.e.: the Fermi-Dirac (FD) and Bose-Einstein (BE). Starting from the recursion relation of grand canonical partition function for parastatistics system of order two that has been known, recuresion linkages for some simple thermodynamic functions for parastatistics system of order two are derived. The recursion linkages are then used to calculate the thermodynamic functions of the model system of identical particles with limited energy levels which is similar to the harmonic oscillator. From these results we concluded that from the Grand Canonical Partition Function (GCPF), Z, the thermodynamics properties of parastatistics system of order two (paraboson and parafermion) can be derived and have similar shape with parastatistics system of order one (Boson and Fermion). The similarity of the graph shows similar thermodynamic properties. Keywords: parastatistics, thermodynamic properties
Highlights
This study aims to determine the thermodynamic properties of the parastatistics system of order two
Rajasekaran, (1995) Generalized Fock Spaces, New Forms of Quantum Statistics and Their Algebras, Pramana 45, 91-93
Summary
Kemudian dilakukan analisis sifat-sifat termodinamika dari fungsi parastatistik. Langkah berikutnya penuangan metode komputasi numerik dalam program komputer. Sebelum dilakukan perhitungan secara komputerisasi, metode komputasi numerik diujicobakan kestabilan program terhadap syarat batas-syarat batas yang dimasukan. Hal ini penting dilakukan agar hasil nilai perhitungan secara komputer bukan merupakan sekumpulan data tanpa makna fisis. Prosedur ini juga menjadi klarifikasi syarat batas berlakunya parameter fisis yang telah dituangkan dalam numerik. Dipilihnya model aras energi yang mirip osilator harmonik adalah karena sistem ini memiliki aras energi yang berjarak sama, sehingga memudahkan perhitungan dan selain itu banyak sistem-sistem fisis yang juga memiliki aras-aras energi berjarak sama yang mirip osilator harmonik,. Penggeneralisasian ke bentuk aras-aras energi yang berbeda dapat dengan mudah dilakukan dengan menggunakan masukan nilai-nilai , asalkan sistemnya berupa sistem partikel yang tidak saling berinteraksi. Besaran-besaran termodinamika dapat diperoleh dari fungsi partisi kanonik lengkap, , yaitu diperoleh melalui potensial kanonik lengkapnya,
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