Messanae Universitas Studiorum

Phase space flows for non-Hamiltonian systems with constraints

Sergi, Alessandro (2005) Phase space flows for non-Hamiltonian systems with constraints. Physical Review E. (In Press)

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    In this paper, non-Hamiltonian systems with holonomic constraints
    are treated by a generalization of Dirac's formalism.
    Non-Hamiltonian phase space flows can be described
    by generalized antisymmetric brackets
    or by general Liouville operators which cannot be derived
    from brackets. Both situations are treated.
    In the first case, a Nos\'e-Dirac
    bracket is introduced as an example.
    In the second one, Dirac's recipe for
    projecting out constrained variables from time translation operators
    is generalized and then applied to non-Hamiltonian linear response.
    Dirac's formalism avoids spurious terms in the response function
    of constrained systems. However, corrections coming from phase
    space measure must be considered for general perturbations.

    Item Type: Other
    Additional Information: To appear on Physical Review E
    Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
    M.U.S. - Contributi Scientifici > 02 - Scienze fisiche
    Divisions: UNSPECIFIED
    Depositing User: Dr Alessandro Sergi
    Date Deposited: 26 Sep 2005
    Last Modified: 13 Apr 2010 13:20

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