Sergi, Alessandro (2005) Phase space flows for non-Hamiltonian systems with constraints. Physical Review E. (In Press)
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Abstract
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 |
| Depositing User: | Dr Alessandro Sergi |
| Date Deposited: | 26 Sep 2005 |
| Last Modified: | 13 Apr 2010 11:20 |
| URI: | http://cab.unime.it/mus/id/eprint/334 |
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