Some peculiarities of noise-induced phase transition

Abstract

Two fundamental evolutionary principles, namely the H-theorem and the least-energy principle, are applied to describe the phase transition in condensed environments and cosmological models. We assume that in the presence of a spontaneously induced scalar field, which can be treated as an order parameter, the energy of the ground state is lower than the ground state energy without such a field. Taking into account the self-consistent interaction of the scalar field with the fluctuations of the fields of other nature and the principles mentioned above, it is possible to show the possibility of the phase transition and to find the conditions for such transition in terms of fluctuation characteristics and coupling parameter. These principles are employed to reveal probable phase transitions in condensed matter physics and cosmology.