In this study, we pursue an original idea about whether unique deformed particle algebra could effectively describe a set of crucial quantum properties including the non-standard statistics of particles, the internal structure of particles, and the interaction of particles. Following such an...

We present a formulation of deformed oscillator algebra which leads to intermediate statistics as a continuous interpolation between Bose–Einstein and Fermi–Dirac statistics. It is deduced that a generalized permutation or exchange symmetry leads to the introduction of the basic number and...

A two-parameter generalized quantum group fermion gas with SUp/q(2)-symmetry is discussed, and for low temperatures, its thermostatistical properties obtained by means of a SUp/q(2)-covariant fermionic Hamiltonian are investigated in terms of the real independent deformation parameters p and q....

To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalise the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of dynamics that is reasonably general, and show how all of the unknown...

The connection of the Callen–Welton and Nyquist fluctuation–dissipation relations is considered for plasma-like classical and quantum systems. The conditions for appearance of the dissipative parameters in the equilibrium current–current correlation function are investigated. The paper...

We investigate, through the damage spreading method, the correlation length associated with the two-point correlation function between damage fluctuations, and the damage susceptibility of the square-lattice three-state Potts ferromagnet. We find that both quantities tend to diverge at the...

The general formulae of the dynamic susceptibility are derived using the relaxation method and the TCLE method for the linear response by introducing the renormalized hat-operator in terms of thermo-field dynamics (TFD). In the former method, the Kubo formula is calculated for systems with no...

We analyze the validity of the fluctuation–dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of fast variables in the description of a glassy system,...

The expressions for the nonequilibrium temperature derived from the fluctuation–dissipation theorem and from the differential of the informational nonequilibrium entropy for ideal gases under shear flow are compared. Both temperatures are different, in particular, the thermodynamic temperature...