Dissipative
System| Dissipative
System |
In General > s.a. fluctuation;
specific heat.
* Idea: Also called damped
system; One subject to a non-conservative force that dissipates energy.
* Description: As a dynamical
system, time evolution is described by a semigroup of transformations, rather
than a group, since it is associated with a preferred time direction; Dissipative
processes contract volumes in phase space.
@ General references: Patiño & Rago NCB(01)
[variational principle]; Bimonte et al PLA(03)ht,
MPLA(03)ht-in
[Peierls-type brackets for Langevin equation]; Chruscinski RPMP(06)
[Koopman's operator and role of resonant states]; Kawai et al PRL(07)
[average dissipation in a transition between equilibria]; Sonnino & Evslin
PLA(07)
[relaxation, minimum rate of dissipation principle].
@ Hamiltonian formulation:
Rajeev AP(07)
[complex Hamiltonian and quantization]; Luo & Guo a0803; > s.a. hamiltonian
systems.
@ Constrained: Nguyen & Turski JPA(01) [Dirac-like brackets].
@ Chaotic: Bag et al JPA(00) [entropy production].
In Quantum Mechanics > s.a. entanglement;
vacuum.
* Idea: Phenomena of
decoherence and dissipation in quantum mechanics arise from the interaction
with the environment.
* And foundations: A
deterministic, dissipative classical model is used in a proposal by 't Hooft
for obtaining quantum mechanics; > s.a. origin
of quantum mechanics.
@ General references: Richardson AP(06);
Jain et al AJP(07)
[path integrals and evolution, types of damping]; Weiss 08.
@ And decoherence: Retamal & Zagury PRA(01)
[and pure states]; Ambegaokar JSP(06)qp/05 [quantum oscillator].
@ Special topics: Hakim & Ambegaokar PRA(85)
[free particle in dissipative environment]; Cohen AP(00)
[and chaos]; Blasone et al PLA(01)
[and quantum zero-point energy]; Moshinsky & Schuch JPA(01)
[and diffraction in time]; Mensky & Stenholm
PLA(03)
[and continuous measurement]; Sivasubramanian et al PLA(03)
[induced non-commutative
geometry]; Terra Cunha et al qp/04 [time
scale]; López et al qp/05 [position-dependent
coefficient and ambiguity]; García-Mata et al PRA(05)qp [quantum
phase space contraction
rate]; Wysocki PRA(05)
[hydrodynamic quantization]; Khademi & Nasiri qp/05 [extended
phase space]; Urasaki qp/07 [and
reality].
>
Related topics: see phase transitions; deformation
quantization.
Types of Systems > s.a. classical
systems; fluids [non-perfect].
@
General references: Romano hp/03-PhD
[in particle physics]; González IJTP(07)qp/05,
IJTP(07)
[1D
system Lagrangian and Hamiltonian, relativistic particle].
@ Quantum: Senitzky PR(60)
[damped oscillator]; > s.a. quantum oscillators [damped].
@ Non-Markovian:
Koch et al PRL(08) [semiclassical]; > s.a. brownian
motion.
@ Field theories: Calzetta & Hu PRD(89)
[dissipation from particle creation];
Vitela AJP(04)
[electromagnetic waves in dissipative media]; > s.a. quantum
field theory
in curved spacetime.
@ Dissipative subsystem of conservative system: Wesz RPMP(06) [perturbation thory].
@ Reated topics: Krechetnikov & Marsden
RMP(07)
[dissipation-induced instabilities].
> Gravitational: see
approaches to quantum gravity; minisuperspace
quantum cosmology.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
27 jun 2008