Dynamics of interacting particle systems: stochastic process and field theory

@article{Lef232vre2007Dynamics, abstract = {We present an approach to the dynamics of interacting particle systems, which allows us to derive path integral formulae from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarifies both the origin of the Cole-Hopf map between the two approaches and the occurrence of imaginary noises in effective Langevin equations for reaction-diffusion systems. The advantage of our approach is that it focuses directly on the density field. We show some applications, in particular on the zero range process, hydrodynamic limits and large deviation functional.}, author = {Lef\`{e}vre, Alexandre and Biroli, Giulio }, citeulike-article-id = {2684092}, comment = {This is the paper that has the stochastic interpretation thing you are always looking for .................}, doi = {http://dx.doi.org/10.1088/1742-5468/2007/07/P07024}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {bibtex-import, field-theory, file-import-08-04-18, interacting-particles}, number = {07}, pages = {P07024}, posted-at = {2008-04-18 00:39:13}, priority = {5}, title = {Dynamics of interacting particle systems: stochastic process and field theory}, url = {http://dx.doi.org/10.1088/1742-5468/2007/07/P07024}, volume = {2007}, year = {2007} }

TY - JOUR ID - Lef232vre2007Dynamics L3 - citeulike-article-id:2684092 TI - Dynamics of interacting particle systems: stochastic process and field theory JF - Journal of Statistical Mechanics: Theory and Experiment VL - 2007 IS - 07 SP - P07024 EP - P07024 N2 - We present an approach to the dynamics of interacting particle systems, which allows us to derive path integral formulae from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarifies both the origin of the Cole-Hopf map between the two approaches and the occurrence of imaginary noises in effective Langevin equations for reaction-diffusion systems. The advantage of our approach is that it focuses directly on the density field. We show some applications, in particular on the zero range process, hydrodynamic limits and large deviation functional. KW - bibtex-import KW - field-theory KW - file-import-08-04-18 KW - interacting-particles N1 - This is the paper that has the stochastic interpretation thing you are always looking for ................. AU - Lefèvre, Alexandre AU - Biroli, Giulio PY - 2007/// UR - http://dx.doi.org/10.1088/1742-5468/2007/07/P07024 ER -