The uses of quantum field theory in diffusion-limited reactions

@article{citeulike:1339026, abstract = {The techniques of quantum field theory on a lattice are used to examine the diffusion and reaction processes of particles in a solid; such as vacancies or interstitials; or chemical species of all kinds which move by discrete random hopping processes and react in a prescribed way when they are in proximity. First formulated by Doi in the 1970s; the quantum-field-theoretic solution of the “master equation” of statistical physics allows a systematic investigation of any number of nonequilibrium processes ranging from fluorescence to explosions. By formulating the problem on the points of a space lattice in d dimensions one can control the ultraviolet divergences associated with short-range interactions. For illustrative purposes several models are solved in detail. The authors include as an appendix a chronological list of seminal articles in the field.}, author = {Mattis, Daniel C. and Glasser, Lawrence M. }, citeulike-article-id = {1339026}, doi = {10.1103/RevModPhys.70.979}, journal = {Reviews of Modern Physics}, keywords = {biophys, diffusion, field-theory, reaction}, month = {July}, number = {3}, pages = {979+}, posted-at = {2008-05-02 15:19:03}, priority = {2}, publisher = {American Physical Society}, title = {The uses of quantum field theory in diffusion-limited reactions}, url = {http://dx.doi.org/10.1103/RevModPhys.70.979}, volume = {70}, year = {1998} }

TY - JOUR ID - citeulike:1339026 L3 - citeulike-article-id:1339026 TI - The uses of quantum field theory in diffusion-limited reactions JF - Reviews of Modern Physics VL - 70 IS - 3 SP - 979 PB - American Physical Society N2 - The techniques of quantum field theory on a lattice are used to examine the diffusion and reaction processes of particles in a solid; such as vacancies or interstitials; or chemical species of all kinds which move by discrete random hopping processes and react in a prescribed way when they are in proximity. First formulated by Doi in the 1970s; the quantum-field-theoretic solution of the “master equation” of statistical physics allows a systematic investigation of any number of nonequilibrium processes ranging from fluorescence to explosions. By formulating the problem on the points of a space lattice in d dimensions one can control the ultraviolet divergences associated with short-range interactions. For illustrative purposes several models are solved in detail. The authors include as an appendix a chronological list of seminal articles in the field. KW - biophys KW - diffusion KW - field-theory KW - reaction AU - Mattis, Daniel AU - Glasser, Lawrence PY - 1998/07// UR - http://dx.doi.org/10.1103/RevModPhys.70.979 ER -