A Paradigm for Joined Hamiltonian and Dissipative Systems

  title={A Paradigm for Joined Hamiltonian and Dissipative Systems},
  author={Philip J. Morrison},
A paradigm for describing dynamical systems that have both Hamiltonian and dissipative parts is presented. Features of generalized Hamiltonian systems and metric systems are combined to produce what are called metriplectic systems. The phase space for metriplectic systems is equipped with a bracket operator that has an antisymmetric Poisson bracket part and a symmetric dissipative part. Flows are obtained by means of this bracket together with a quantity called the generalized free energy… CONTINUE READING
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