FLUCTUATION THEORY OF MEDIA WITH PRONOUNCED SPACETIME INHOMOGENEITY

A nonlinear determinstic thermodynamics is constructed for media with pronounced (r, t) inhomogeneity of the intensive variables or their de rivatives. The balance equations in the theory are taken to be either the equations of an ideal fluid or an ideal fluid with heat conduction . The basic variables are taken to be mu(r, t) and T(r, t). The hypoth esis of local equilibrium is represented in the form of the Gibbs-Duhe m relation, the conjugate coordinates are rho(r, t) and sigma(r, t), a nd the local ''potential'' is P(mu, T). The velocity potential nu(i)(r , t) enters through the substantial derivative. A variational principl e is formulated; in the case of an ideal fluid with heat conduction th ere arises naturally a local decrease of the entropy production: z2(t) =z2(0) exp(-2t/t), there tBAR is the relaxation time.