On The Power Cycles Working with The Ideal Quantum Gases-I: The Ericson Cycle

• The Ericsson power cycles working with ideal Bose and Fermi monoatomic gasesare examined. They are conveniently called the Bose and Fermi cycles. Efficiencies of Bose and Fermi cycles are derived (etaB and etaF respectively). Variations of them with the temperature ratio (tau) and pressure ratio of the cycle are examined. A comparison of theefficiencies with each other and that of the classical Ericsson cycle (etaCl) is made. In thedegenerate gas state it is seen that etaB < etaF < etaCl, although etaB = etaF = etaCl in the classical gas state. In a Bose cycle, it is shown that there is an optimum value for the lowest temperature (TL) at which the efficiency reaches its maximum value for a given pressureratio. Furthermore, Bose–Einstein condensation restricts the value of TL of a Bose cycle for agiven value of PH . In a Fermi cycle, there is no an optimum value for TL. However, etaF goesto a finite value of less than unity when tau goes to zero.

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NATURVETENSKAP  -- Fysik -- Den kondenserade materiens fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Condensed Matter Physics (hsv//eng)

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