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10 papers · 2 filters
On representations of cyclotomic Hecke algebras
O. V. Ogievetsky, L. Poulain d'Andecy
An approach, based on Jucys--Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of…
Scattering induced current in a tight-binding band
Laurent Bruneau, Stephan De Bievre, Claude-Alain Pillet
In the single band tight-binding approximation, we consider the transport properties of an electron in a homogeneous static electric field. We show that repeated interactions of th…
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Vojkan Jakšić, Claude-Alain Pillet, Luc Rey-Bellet
Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theor…
Conductivity and the current-current correlation measure
J. M. Combes, F. Germinet, P. D. Hislop
We review various formulations of conductivity for one-particle Hamiltonians and relate them to the current-current correlation measure. We prove that the current-current correlati…
Edge Contact Forces and Quasi-Balanced Power
F. dell'Isola, P. Seppecher
We consider continuous media in which contact edge forces are present. Introducing the notion of quasi-balanced contact force distribution, we are able to prove the conjectures by…
Adiabatic non-equilibrium steady states in the partition free approach
Horia D. Cornean, Pierre Duclos, Radu Purice
Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibr…