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Mark Kac considered a Markov Chain on the n–sphere based on random rotations in randomly chosen coordinate planes. This same walk was used by Hastings on the orthogonal group. We show that the walk ...
Abstract: The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stoc...
Abstract: This article reviews recent work on the Kac master equation and its low dimensional counterpart, the Kac equation.
A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Marko...
Dual phospho/dephosphorylation cycles, as well as covalent enzymatic-catalyzed modi cations of substrates, are widely di used within cellular systems and are crucial for the control of complex respons...
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...
We show a microscopic derivation of a quantum master equation with counting terms which describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net ...
We introduce an alternative way to derive the generalized form of the master equation recently presented in Ref. [J. P. Pekola et al., Phys. Rev. Lett. 105, 030401 (2010)] for an adiabatically steere...
Results which have been recently obtained with the Boltzmann master equation and the FLUKA code in the analysis of heavy ion interactions at relative energies ranging from Coulomb barrier up to a few ...
Fourth-order quantum master equations~FQMEs!are derived in both time nonlocal and local forms for a general system Hamiltonian, with new detailed expressions for the fourth-order kernel, where the bat...

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