conference "Workshop on Condensed Matter Physics", INTAS, 1998, May 21-24, L'viv, p. 50


Hydrodynamic Time Correlation Functions of a Heisenberg Model Ferrofluid

I.Mryglod,
Institute for Condensed Matter Physics, National Academy of Scienses of Ukraine,
1 Sventsitskii St., UA-290011 Lviv, Ukraine
Corresponding author. Fax: +380 322 761978. E-mail: mryglod@icmp.lviv.ua.

R.Folk,
Institut für Theoretische Physik, Universität Linz, 4040-Linz, Österreich

S.Dubyk Yu.Rudavskii,
State University ''Lvivska Politekhnika'', 12 Bandera St, UA-290013 Lviv, Ukraine


Interest to a research of magnetic fluid due to the extension of possibilities of experimental researches and simulation recently has increased. The Heisenberg model of magnetic fluid in an external magnetic field is considered. The hydrodynamic equations are constructed on a set of dynamic quantities $\{\bf {n,p,e,m}\}$ - according to density of number of particles, impulse, energy and magnetic moment. The frequent matrix and matrix of functions of memory is considered in approximation of small wave numbers $\bf k$. The obtained outcomes of a hydrodynamic spectrum of collective modes and hydrodynamic time correlation function are represented. For case without an external magnetic field the results are compared to ones for simple fluid. The appearance of an external magnetic field on expressions for the time correlation function and related with it by transport coefficients is investigated. Weight coefficients in time correlation functions for each mode also are calculated. The possibility of researches for intermediate values of wave numbers $\bf k$ and for more complicated models is discussed.

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