A note on Lee-Yang zeros in the negative half-plane

作者：Lebowitz Joel L; Scaramazza Jasen A^*

来源：Journal of Physics: Condensed Matter , 2016, 28(41): 414004.

DOI：10.1088/0953-8984/28/41/414004

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

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.

• 出版日期2016-10-19
• 单位rutgers