Microdynamic and thermodynamic properties of dissipative dust-acoustic solitons

Properties of weakly dissipative dust-acoustic solitons are analyzed on the basis of the hydrodynamic and single-particle approximation (Lagrangian–Euler approach). Significant differences between dissipative and conservative solitons are found. Particle-wave microdynamic parameters such as trajectories, phase trajectories, and drift velocity of dust particles under the action of a cascade of solitons are calculated. It is shown that dissipation is responsible for the interconnection of solitons in the ensemble. In addition, dissipative solitons significantly affect the environment comparing with conservative ones. The heat release processes that determine the production of entropy are analyzed. The role of dissipation in the ordering of charged particles trajectories is revealed. The theoretical results are in a reasonable agreement with known experimental data.