Dynamics of a spin-3/2 Ising system Hamiltonian with bilinear and biquadratic nearest-neighbour exchange interactions is studied by a simple method in which the statistical equilibrium theory is combined with the Onsa...Dynamics of a spin-3/2 Ising system Hamiltonian with bilinear and biquadratic nearest-neighbour exchange interactions is studied by a simple method in which the statistical equilibrium theory is combined with the Onsager＇s theory of irreversible thermodynamics. First, the equilibrium behaviour of the model in the molecular-field approximation is given briefly in order to obtain the phase transition temperatures, i.e. the first- and second-order and the tricritical points. Then, the Onsager theory is applied to the model and the kinetic or rate equations are obtained. By solving these equations three relaxation times are calculated and their behaviours are examined for temperatures near the phase transition points. Moreover, the z dynamic critical exponent is calculated and compared with the z values obtained for different systems experimentally and theoretically, and they are found to be in good agrement.展开更多
In this paper,we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects.Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam....In this paper,we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects.Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam.The C_(0)-semigroup theory will be used to prove the well-posedness of the considered problem.展开更多
In this paper,we investigate a deteriorating system with single vacation of a repairman.The system is described by infinite differential-integral equations with boundary conditions.Firstly,by using functional analysis...In this paper,we investigate a deteriorating system with single vacation of a repairman.The system is described by infinite differential-integral equations with boundary conditions.Firstly,by using functional analysis methods,especially linear operator’s C;-semigroup theory,we prove the well-posedness of the system and the existence of a unique positive dynamic solution that satisfies probability condition.Next,by analyzing the spectral properties of the system operator,we prove that all points on the imaginary axis except zero belong to the resolvent set of the system operator.Lastly,we prove that zero is not an eigenvalue of the system operator,which implies that the steady-state solution of the system does not exist.展开更多
基金Project supported by the Erciyes University Research Funds(Grand No.FBT-03-09)
文摘Dynamics of a spin-3/2 Ising system Hamiltonian with bilinear and biquadratic nearest-neighbour exchange interactions is studied by a simple method in which the statistical equilibrium theory is combined with the Onsager＇s theory of irreversible thermodynamics. First, the equilibrium behaviour of the model in the molecular-field approximation is given briefly in order to obtain the phase transition temperatures, i.e. the first- and second-order and the tricritical points. Then, the Onsager theory is applied to the model and the kinetic or rate equations are obtained. By solving these equations three relaxation times are calculated and their behaviours are examined for temperatures near the phase transition points. Moreover, the z dynamic critical exponent is calculated and compared with the z values obtained for different systems experimentally and theoretically, and they are found to be in good agrement.
基金Supported by the NNSF of China(Grant No.12171082)Fundamental Funds for the Central Universities(Grant No.2232021G-13).
文摘In this paper,we study the well-posedness for the thermoelastic Timoshenko system with a constant delay and mass diffusion effects.Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam.The C_(0)-semigroup theory will be used to prove the well-posedness of the considered problem.
基金supported by the National Natural Science Foundation of China(No.11761066)。
文摘In this paper,we investigate a deteriorating system with single vacation of a repairman.The system is described by infinite differential-integral equations with boundary conditions.Firstly,by using functional analysis methods,especially linear operator’s C;-semigroup theory,we prove the well-posedness of the system and the existence of a unique positive dynamic solution that satisfies probability condition.Next,by analyzing the spectral properties of the system operator,we prove that all points on the imaginary axis except zero belong to the resolvent set of the system operator.Lastly,we prove that zero is not an eigenvalue of the system operator,which implies that the steady-state solution of the system does not exist.
