Statistical physics of random systems and nonequilibrium thermodynamics
Theory of random systems, in particular spin glasses, is pursued.
Microscopic approaches bases on the real-replica method combined with Thouless-Anderson-Palmer equations
are used to understand the mean-field theory of Ising and other spin glass models. Genesis of the full solution with a continuous replica-symmetry breaking is pursued in the asymptotic region below the transition to the glassy phase.
In nonequilibrium systems dynamical fluctuations in irreversible processes, variational formulation
of nonequilibrium steady states and nonequilibrium thermodynamics beyond
linear response are investigated.
