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8DIVERGENCE OF DUST PARTICLE TRAJECTORIES IN DUSTY PLASMA
MODEL
Timofeev A.V.
Joint Institute for High Temperatures RAS, 13 bld. 2, Izhorskaya st., Moscow, 125412
Russia
National Research University Higher School of Economics, 20 Myasnitskaya st,
Moscow 101000, Russia
The applicability of thermodynamic approach for the description of processes in dusty plasma is rather crucial for dusty plasma research. The statistical physics, thermodynamics (entropy and thermostat model), concepts of equilibrium and partial equilibrium are used for the problem consideration. All approaches of this research are based on analytical and theoretical approach, and also on molecular dynamics simulation of dusty plasma system.
In the model of dusty plasmas the divergence of trajectories allows to calculate K-entropy (Krylov-Kolmogorov-Sinai entropy). The value of K is also equal to averaged maximum Lyapunov exponent and entropy growth rate since reciprocal is an important relaxation time. Furthermore, predictability time is studied. This time characterizes the time interval, during this interval future behavior of a dynamic system based on the initial conditions and deterministic dynamical equations can be predicted.
The molecular dynamics simulation shows that the time of trajectories divergence might be different in different directions, so the partial equilibrium subsystem can be observed in the system. Estimations for the characteristic time of divergence if different directions of dust particles motion are obtained. The method for entropy is estimated for conditions of standard laboratory experiment on dusty plasma. The applicability of the thermodynamic functions for the description of plasma-dust system is discussed.
The work is supported by Russian Science Foundation (14-19-01295).
