## Abstract

We obtain lower bounds on the inverse compressibility of systems whose Lee-Yang zeros of the grand-canonical partition function lie in the left half of the complex fugacity plane. This includes in particular systems whose zeros lie on the negative real axis such as the monomer-dimer system on a lattice. We also study the virial expansion of the pressure in powers of the density for such systems. We find no direct connection between the positivity of the virial coefficients and the negativity of the L-Y zeros, and provide examples of either one or both properties holding. An explicit calculation of the partition function of the monomer-dimer system on two rows shows that there are at most a finite number of negative virial coefficients in this case.

Original language | English (US) |
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Article number | 414004 |

Journal | Journal of Physics Condensed Matter |

Volume | 28 |

Issue number | 41 |

DOIs | |

State | Published - Aug 22 2016 |

## All Science Journal Classification (ASJC) codes

- Materials Science(all)
- Condensed Matter Physics

## Keywords

- Lee-Yang zeros
- inverse compressibility
- monomer dimer
- negative half plane
- negative real axis
- positive expansion coefficients
- virial expansion