Concept

Master equation

Related publications (30)

Evolution of open many-electron systems

Starting from the quantum statistical master equation derived in [1] we show how the connection to the semi-classical Boltzmann equation (SCBE) can be established and how irreversibility is related to the problem of separability of quantum mechanics. Our p ...

EPFL2007

Stochastic Liouville equation treatment of the electron paramagnetic resonance line shape of an S-state ion in solution

Alain Borel

The current approaches used for the analysis of electron paramagnetic resonance spectra of Gd3+ complexes suffer from a number of drawbacks. Even the elaborate model of [Rast et al., J. Chem. Phys. 113, 8724 (2000)] where the electron spin relaxation is ex ...

2007

Proposal strategies for joint state-space tracking with particle filters

Volkan Cevher

A proposal function determines the random particle support of a particle filter. When this support is distributed close to the true target density, filter's estimation performance increases for a given number of particles. In this paper, a proposal strateg ...

2005

Dissipative evolution of quantum statistical ensembles and nonlinear response to a time-periodic perturbation

Jean-Philippe Ansermet, François Reuse, Jacques Van Der Klink

We present a detailed discussion of the evolution of a statistical ensemble of quantum mechanical systems coupled weakly to a bath. The Hilbert space of the full system is given by the tensor product between the Hilbert spaces associated with the bath and ...

2003

Dynamic scheduling for production systems operating in a random environment

Fabrice Dusonchet

Due to the steady tendency to propose highly customized products and to respond to volatile (i.e random) demands, Flexible Manufacturing Systems (FMS) are now present in most shopfloors. In this thesis, flexibility in a FMS is understood as the ability of ...

EPFL2003

Production indices obtained by a myopic policy for non-markovian dynamics

Max-Olivier Hongler

The urgency indices which are used to schedule multiclass production systems are calculated for production flows characterized by M/G/1 dynamics. The calculation of the indices is based on a myopic policy for which the time look-ahead distribution is chose ...

2001

A general approach to the electronic spin relaxation of Gd(III) complexes in solutions. Monte Carlo simulations beyond the Redfield limit

André Merbach, Lothar Helm, Alain Borel

The time correlation functions of the electronic spin components of a metal ion without orbital degeneracy in solution are computed. The approach is based on the numerical solution of the time-dependent Schrödinger equation for a stochastic perturbing Hami ...

2001

Continuous time random walks with Erlangian pausing time distributions

Max-Olivier Hongler

We discuss a class of non-Markovian continuous time random walks on the infinite one-dimensional lattice. The pausing time distribution which governs the dynamics is chosen to be of the Erlang type (i.e. gamma of integer order). We derive a generalized mas ...

1992

Generalized master equations and the telegrapher's equation

Max-Olivier Hongler

The possibility of using generalized telegrapher's equations (GTEs) to describe the time evolution of probability densities of non-Markovian stochastic processes is consedered. The solutions of hyperbolic equations of the type of GTE being generally not po ...

1990

Infrared multiphoton chemistry: comparison of theory and experiment, solution of the master equation

Hubert van den Bergh

An energy-grained master equation was used to model the multiphoton pumping process in SF6. An energy-dependent absorption cross section that was approx. inversely dependent on the level of excitation was needed to reproduce exptl. data on the fraction dec ...

1979

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