Nonequlibrium Renormalization Theory I
نویسنده
چکیده
In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for non-equilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renormalization of non-equilibrium diagram technique. The fact that thermal divergences in non-equilibrium diagram technique can be renormalized leads to the following consequence: to prove that the system tends to the thermal equilibrium one should to take into account the behavior of the system on its boundary. In this paper we illustrate this fact on Bogoliubov derivation of kinetic equations.
منابع مشابه
Nonequlibrium Renormalization Theory III
In the present paper we develop the general theory of renormalization of some nonequilibrium diagram technique. This technique roughly is the Keldysh diagram technique. To develop our theory we have used the Bogoliubov — Parasiuk R operation method. Our theory can be used for the studing of the divergences in kinetic equations. ∗Institute of Spectroscopy, RAS 142190 Moskow Region, Troitsk
متن کاملMultispin Coding Technique for Nonequilibrium Reweighting
We present the multispin coding for the nonequlibrium reweighting method of the Monte Carlo simulation, that was developed by the present authors. As an illustration, we treat the driven diffusive lattice gas model. We use the multispin coding technique both for the spin update and for the calculation of the histogram of incremental weights, which is needed in the calculation of nonequlibrium r...
متن کاملRenormalization and Computation II: Time Cut-off and the Halting Problem
This is the second installment to the project initiated in [Ma3]. In the first Part, I argued that both philosophy and technique of the perturbative renormalization in quantum field theory could be meaningfully transplanted to the theory of computation, and sketched several contexts supporting this view. In this second part, I address some of the issues raised in [Ma3] and provide their develop...
متن کاملPercolation, Renormalization and the Quantum-Hall Transition
In this article, I give a pedagogical introduction and overview of percolation theory. Special emphasis will be put on the review of some of the most prominent of the algorithms that have been devised to study percolation numerically. At the central stage shall be the real-space renormalization group treatment of the percolation problem. As a rather novel application of this approach to percola...
متن کاملReduction, Emergence and Renormalization
In previous work, I described several examples combining reduction and emergence: where reduction is understood à la Ernest Nagel, and emergence is understood as behaviour or properties that are novel (by some salient standard). Here, my aim is again to reconcile reduction and emergence, for a case which is apparently more problematic than those I treated before: renormalization. Renormalizatio...
متن کامل