Showing 2012 · math-phShow all

14 papers · 2 filters

math-ph2012★ 25 cited

On the Stochastic Limit of Quantum Field Theory

L. Accardi, J. Gough, Y. G. Lu

The weak coupling limit for a quantum system, with discrete energy spectrum, coupled to a Bose reservoir with the most general linear interaction is considered: under this limit we…

math-ph2012

A revised exposition of the Green-Naghdi theory of heat propagation

Swantje Bargmann, Antonino Favata, Paolo Podio-Guidugli

We offer a revised exposition of the three types of heat-propagation theories proposed by Green and Naghdi, in the form they were given in 1992-3. Those theories, which make use of…

math-ph2012★ 7 cited

Presheaves of superselection structures in curved spacetimes

Ezio Vasselli

We show that superselection structures on curved spacetimes, that are expected to describe quantum charges affected by the underlying geometry, are categories of sections of preshe…

math-ph2012

Towards a Monge-Kantorovich metric in noncommutative geometry

Pierre Martinetti

We investigate whether the identification between Connes' spectral distance in noncommutative geometry and the Monge-Kantorovich distance of order 1 in the theory of optimal transp…

math-ph2012★ 12 cited

On Energy and Entropy Influxes in the Green-Naghdi Type III Theory of Heat Conduction

Swantje Bargmann, Antonino Favata, Paolo Podio-Guidugli

The energy-influx/entropy-influx relation in the Green-Naghdi Type III theory of heat conduction is examined within a thermodynamical framework à la Mueller-Liu, where that relatio…

math-ph2012★ 43 cited

On Nonlinear Functionals of Random Spherical Eigenfunctions

Domenico Marinucci, Igor Wigman

We prove Central Limit Theorems and Stein-like bounds for the asymptotic behaviour of nonlinear functionals of spherical Gaussian eigenfunctions. Our investigation combine asymptot…

math-ph2012★ 3 cited

Froth-like minimizers of a non local free energy functional with competing interactions

Paolo Buttà, Raffaele Esposito, Alessandro Giuliani +1

We investigate the ground and low energy states of a one dimensional non local free energy functional describing at a mean field level a spin system with both ferromagnetic and ant…

math-ph2012★ 10 cited

How to add a boundary condition

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo

Given a conformal QFT local net of von Neumann algebras B_2 on the two-dimensional Minkowski spacetime with irreducible subnet A\otimes\A, where A is a completely rational net on t…

math-ph2012★ 30 cited

The scaling limit of the energy correlations in non integrable Ising models

Alessandro Giuliani, Rafael L. Greenblatt, Vieri Mastropietro

We obtain an explicit expression for the multipoint energy correlations of a non solvable two-dimensional Ising models with nearest neighbor ferromagnetic interactions plus a weak…

math-ph2012

Solutions to the Master Equations Governing Fractional Vortices

Chang-Shou Lin, Gabriella Tarantello, Yisong Yang

By means of variational methods, in this paper, we establish sharp existence results for solutions of the master equations governing `fractional multiple vortices.' In the doubly p…

math-ph2012★ 17 cited

Non equilibrium stationary state for the SEP with births and deaths

Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis +1

We consider the symmetric simple exclusion process in the interval $\La_N:=[-N,N]\cap\mathbb Z$ with births and deaths taking place respectively on suitable boundary intervals $I_+…

math-ph2012★ 18 cited

On Pythagoras' theorem for products of spectral triples

Francesco D'Andrea, Pierre Martinetti

We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product…

math-ph2012

On the Kelvin Problem

Antonino Favata

The Kelvin problem of an isotropic elastic space subject to a concentrated load is solved in a manner that exploits the problem's built-in symmetries so as to determine in the firs…

math-ph2012

Sampling from a Gibbs measure with pair interaction by means of PCA

Paolo Dai Pra, Benedetto Scoppola, Elisabetta Scoppola

We consider the problem of approximate sampling from the finite volume Gibbs measure with a general pair interaction. We exhibit a parallel dynamics (Probabilistic Cellular Automat…