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Journal of Physics A General Physics 41 (2008) 235002

On the Brownian gas: a field theory with a Poissonian ground state

Andrea Velenich, Claudio Chamon 1, Leticia F. Cugliandolo 2, Dirk Kreimer

(2008)

As a first step towards a successful field theory of Brownian particles in interaction, we study exactly the non-interacting case, its combinatorics and its non-linear time-reversal symmetry. Even though the particles do not interact, the field theory contains an interaction term: the vertex is the hallmark of the original particle nature of the gas and it enforces the constraint of a strictly positive density field, as opposed to a Gaussian free field. We compute exactly all the n-point density correlation functions, determine non-perturbatively the Poissonian nature of the ground state and emphasize the futility of any coarse-graining assumption for the derivation of the field theory. We finally verify explicitly, on the n-point functions, the fluctuation-dissipation theorem implied by the time-reversal symmetry of the action.

1 :	Physics Department [Boston] (BU-Physics)
	Boston University
2 :	Laboratoire de Physique Théorique et Hautes Energies (LPTHE)
	CNRS : UMR7589 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot

Domaine

:

Physique/Matière Condensée/Mécanique statistique Physique/Physique des Hautes Energies - Théorie Physique/Physique mathématique Mathématiques/Physique mathématique

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Contributeur : Leticia F Cugliandolo <>

Soumis le : Mardi 21 Septembre 2010, 16:58:31

Dernière modification le : Mardi 21 Septembre 2010, 16:58:31