RT Journal Article T1 Entropy maximization in the free expansion process A1 Fernández Pineda, Cristóbal A1 Velasco Maíllo, Santiago AB The entropy maximum principle is applied to obtain the final equilibrium state in the free expansion of a perfect gas. This provides an example where the entropy of an isolated system at equilibrium has an absolute maximum which is not a local maximum. PB IOP Publishing Ltd. SN 0143-0807 YR 2005 FD 2005-07 LK https://hdl.handle.net/20.500.14352/50886 UL https://hdl.handle.net/20.500.14352/50886 LA eng NO [1] Kestin J 1979 A Course in Thermodynamics vol II (New York: Hemisphere) p 2[2] Callen H B 1985 Thermodynamics and an Introduction to Thermostatistics 2nd edn (New York: Wiley) pp 25–6[3] Gibbs J W 1961 The Scientific Papers of J W Gibbs. Thermodynamics vol I (New York: Dover) p 57[4] Tisza L 1966 Generalized Thermodynamics (Cambridge, MA: MIT Press) p 43[5] For a general mathematical study of these topics see, for example, Marsden J E and Tromba A J 1988 Vector Calculus 3rd edn (New York: Freeman) chapter 4[6] Haase R 1969 Thermodynamics of Irreversible Processes (Reading, MA: Addison-Wesley) p 50[7] Münster A 1970 Classical Thermodynamics (London: Wiley-Interscience) pp 56–8[8] Sanfeld A 1971 Equilibrium, stability and displacements Physical Chemistry. An Advanced Treatise. Vol. I. Thermodynamics ed W Jost (New York: Academic) chapter 2A (see section X, Stability of Chemical Systems)[9] Haase R 1956 Thermodynamik der Mischphasen (Berlin: Springer) p 105 (See, also, [7])[10] Fernández-Pineda C and Velasco S 2001 Application of thermodynamic extremum principles Am. J. Phys. 69 1160–5[11] Velasco S and Fernández-Pineda C 2002 A simple example illustrating the application of thermodynamic extremum principles Eur. J. Phys. 23 501–11 NO © 2005 IOP Publishing Ltd. SV thanks financial support by Comisión Interministerial de Ciencia y Tecnología (CICYT)of Spain under grants BFM 2002-01225 FEDER and BFM 2003-07106 FEDER, and by Junta de CyL-FSE of Spain under grants SA080/04 and SA092/04. NO Comisión Interministerial de Ciencia y Tecnología (CICYT) of Spain NO Junta de CyL-FSE of Spain DS Docta Complutense RD 30 abr 2024