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Liouville and Bogoliubov Equations with Fractional Derivatives
Vasily E. Tarasov
The Liouville equation, first Bogoliubov hierarchy and Vlasov equations with derivatives of non-integer order are derived. Liouville equation with fractional derivatives is obtaine…
Fokker-Planck Equation for Fractional Systems
Vasily E. Tarasov
The normalization condition, average values and reduced distribution functions can be generalized by fractional integrals. The interpretation of the fractional analog of phase spac…
The Fractional Chapman-Kolmogorov Equation
Vasily E. Tarasov
The Chapman-Kolmogorov equation with fractional integrals is derived. An integral of fractional order is considered as an approximation of the integral on fractal. Fractional integ…
Dynamics of the Chain of Oscillators with Long-Range Interaction: From Synchronization to Chaos
G. M Zaslavsky, M. Edelman, V. E. Tarasov
We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha <2. In the continues limi…
On the K^+D Interaction at Low Energies
V. E. Tarasov, V. V. Khabarov, A. E. Kudryavtsev +1
The Kd reactions are considered in the impulse approximation with NN final-state interactions (NN FSI) taken into account. The realistic parameters for the KN phase shifts are used…
Thermodynamics of Few-Particle Systems
Vasily E. Tarasov
We consider the wide class of few-particle systems that have some analog of the thermodynamic laws. These systems are characterized by the distributions that are determined by the…