Non equilibrium statistical mechanics
نویسنده
چکیده
In part I of these lecture notes, I introduce the basic tools of non equilibrium statistical mechanics: linear response, Brownian motion, Langevin equation, (Pauli) master equation. Part II is devoted to a derivation of quantum master equations from the Schrödinger equation, and to some of their applications to quantum optics and to Brownian motion. Finally, in part III, I examine more recent developments: the Crooks and Jarzynski equalities and the Gallavotti-Cohen fluctuation theorem.
منابع مشابه
Mathematical theory of non-equilibrium quantum statistical mechanics
We review and further develop a mathematical framework for non-equilibrium quantum statistical mechanics recently proposed in [JP4, JP5, JP6, Ru3, Ru4, Ru5, Ru6]. In the algebraic formalism of quantum statistical mechanics we introduce notions of non-equilibrium steady states, entropy production and heat fluxes, and study their properties. Our basic paradigm is a model of a small (finite) quant...
متن کاملX iv : m at h - ph / 0 41 00 14 v 1 4 O ct 2 00 4 Positive Commutators in Non - Equilibrium Quantum Statistical Mechanics ∗
The method of positive commutators, developed for zero temperature problems over the last twenty years, has been an essential tool in the spectral analysis of Hamiltonians in quantum mechanics. We extend this method to positive temperatures, i.e. to non-equilibrium quantum statistical mechanics. We use the positive commutator technique to give an alternative proof of a fundamental property of a...
متن کاملPositive Commutators in Non-Equilibrium Quantum Statistical Mechanics
The method of positive commutators, developed for zero temperature problems over the last twenty years, has been powering progress in the spectral analysis of Hamiltonians in quantum mechanics. We extend this method to positive temperatures, i.e. to non-equilibrium quantum statistical mechanics. We use the positive commutator technique to give an alternative proof of a fundamental property of l...
متن کاملFisher Information and Statistical Mechanics
Fisher information is an important concept in statistical estimation theory and information theory, but it has received relatively little consideration in statistical physics. In order to rectify this oversight, in this brief note I will review the correspondence between Fisher information and uctuations at thermodynamic equilibrium, and discuss various applications of Fisher information to equ...
متن کاملChE 210B: Advanced Topics in Equilibrium Statistical Mechanics
Reading: 3.1-3.5 Chandler, Chapters 1 and 2 McQuarrie This course builds on the elementary concepts of statistical mechanics that were introduced in ChE 210A and provides a more in-depth exploration of topics related to simple and complex fluid systems at equilibrium. ChE 210C introduces non-equilibrium statistical mechanics. * Discuss course info sheet / office hrs / web site * Discuss syllabu...
متن کاملTheory for non-equilibrium statistical mechanics.
This paper reviews a new theory for non-equilibrium statistical mechanics. This gives the non-equilibrium analogue of the Boltzmann probability distribution, and the generalization of entropy to dynamic states. It is shown that this so-called second entropy is maximized in the steady state, in contrast to the rate of production of the conventional entropy, which is not an extremum. The relation...
متن کامل