corner
corner

Phys. Rev. Lett. 100, 120601 (2008) [4 pages]

Violation of the Zeroth Law of Thermodynamics in Systems with Negative Specific Heat

Download: PDF (397 kB) Buy this article Export: BibTeX or EndNote (RIS)

A. Ramírez-Hernández1,2, H. Larralde2, and F. Leyvraz2
1Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, C.P. 62210, Cuernavaca, Morelos, México
2Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, C.P. 62251, Apartado Postal 48-3, Cuernavaca, Morelos, México

Received 15 November 2007; revised 22 January 2008; published 25 March 2008

We show that systems with negative specific heat can violate the zeroth law of thermodynamics. By both numerical simulations and by using exact expressions for free energy and microcanonical entropy, it is shown that if two systems with the same intensive parameters but with negative specific heat are thermally coupled, they undergo a process in which the total entropy increases irreversibly. The final equilibrium is such that two phases appear; that is, the subsystems have different magnetizations and internal energies at temperatures which are equal in both systems, but that can be different from the initial temperature.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.120601
DOI:
10.1103/PhysRevLett.100.120601
PACS:
05.20.Gg, 05.70.−a, 64.60.−i

See Also

Comment: K. Michaelian, I. Santamaría-Holek, and A. Pérez-Madrid, Comment on “Violation of the Zeroth Law of Thermodynamics in Systems with Negative Specific Heat”, Phys. Rev. Lett. 102, 138901 (2009).

Reply: A. Ramírez-Hernández, H. Larralde, and F. Leyvraz, Ramírez-Hernández, Larralde, and Leyvraz Reply:, Phys. Rev. Lett. 102, 138902 (2009).