### Abstract

The third law of thermodynamics, in the sense that the entropy per unit volume goes to zero as the temperature goes to zero, is investigated within the framework of statistical mechanics for quantum and classical lattice models. We present two main results: (i) For all models the question of whether the third law is satisfied can be decided completely in terms of ground-state degeneracies alone, provided these are computed for all possible "boundary conditions." In principle, there is no need to investigate possible entropy contributions from low-lying excited states, (ii) The third law is shown to hold for ferromagnetic models by an analysis of the ground states.

Original language | English (US) |
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Pages (from-to) | 279-297 |

Number of pages | 19 |

Journal | Journal of Statistical Physics |

Volume | 24 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1981 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Keywords

- Third law
- entropy
- lattice systems
- statistical mechanics
- thermodynamics

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## Cite this

*Journal of Statistical Physics*,

*24*(1), 279-297. https://doi.org/10.1007/BF01007649