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 Nose-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.
|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
|Depositing User:||Dr Alessandro Sergi|
|Date Deposited:||26 Sep 2005|
|Last Modified:||13 Apr 2010 13:20|
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