Magnetization of concentrated polydisperse ferrofluids: Cluster expansion

B. Huke, M. Lücke
2003 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The equilibrium magnetization of concentrated ferrofluids described by a system of polydisperse dipolar hard spheres is calculated as a function of the internal magnetic field using the Born-Mayer or cluster expansion technique. This paper extends the results of Huke and Lücke ͓Phys. Rev. E 62, 6875 ͑2000͔͒ obtained for monodisperse ferrofluids. The magnetization is given as a power series expansion in two parameters related to the volume fraction and the coupling strength of the dipolar interaction, respectively.
doi:10.1103/physreve.67.051403 pmid:12786148 fatcat:robcpl4kk5ej3ics2qlfkukvtu