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Nonlinear and intermittent energy cascades from large to small scales and from small to large scales in the phase space and time are ubiquitous for cosmic plasmas due to available free energy reservoirs of plasma kinetic and electromagnetic degrees of freedom. Dimensionless scaling is useful for their classification and ordering. Self-organization under given initial and boundary conditions is typically unstable and eroded, which means not unique solutions of governing equations describing the dynamical evolution of the open physical systems under consideration like separate plasma and magnetic domains, waves and transient phenomena. Strict election rules for different scenarios can be formulated only in simplest cases. We interpret the coronal heating problem and the solar wind origin problem as one task with no unique solution for the dominant mechanism. Many physically different regimes are involved simultaneously and intermittently in space and time. One of the regimes is poorly investigated and understood: coexistence of direct and inverse energy cascades. The outer boundaries of the heliosphere with the interstellar medium are essentially non-steady state and turbulent with no clear dominance of the relevant structures and processes as well.