Construction of coarse-grained order parameters in nonequilibrium systems
| dc.contributor.utaustinauthor | Reynolds, David E. | en_US |
| dc.creator | Reynolds, David E. | en_US |
| dc.date.accessioned | 2017-07-18T20:10:14Z | |
| dc.date.available | 2017-07-18T20:10:14Z | |
| dc.date.issued | 2009-06 | en_US |
| dc.description.abstract | We develop a renormalization-group (RG) procedure that includes important system-specific features. The key ingredient is to systematize the coarse-graining procedure that generates the RG flow. The coarse-graining technology comes from the control and operator theoretic model reduction. The resulting "generalized" RG is a consistent generalization of the Wilsonian RG. We apply the procedure to a deterministic nonlinear wave equation (NLWE) with probabilistic initial conditions. We derive the form of the projection operator from the dynamics of the NLWE and then use it to generate the RG flow for the distribution of initial conditions. The probability density of the initial conditions is chosen to be a Boltzmann weight that is quartic in the field variables. In our calculation, we find that in contrast to conventional implementations of the RG, naive power counting breaks down. We also show that the resulting RG equations are different from those derived from the conventional RG. | en_US |
| dc.description.department | Institute for Computational Engineering and Sciences (ICES) | en_US |
| dc.description.sponsorship | en_US | |
| dc.identifier | doi:10.15781/T2WH2DW4M | |
| dc.identifier.citation | Reynolds, David E. "Construction of coarse-grained order parameters in nonequilibrium systems." Physical Review E 79, no. 6 (2009): 061107. | en_US |
| dc.identifier.doi | 10.1103/PhysRevE.79.061107 | en_US |
| dc.identifier.issn | 2470-0045 | en_US |
| dc.identifier.uri | http://hdl.handle.net/2152/61117 | |
| dc.language.iso | English | en_US |
| dc.relation.ispartof | UT Faculty/Researcher Works | en_US |
| dc.relation.ispartofserial | Physical Review E | en_US |
| dc.rights | Administrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University. | en_US |
| dc.rights.restriction | open | en_US |
| dc.subject | quantum renormalization-groups | en_US |
| dc.subject | block spin construction | en_US |
| dc.subject | field theory | en_US |
| dc.subject | projection | en_US |
| dc.subject | equations | en_US |
| dc.subject | dynamics | en_US |
| dc.subject | ondelettes | en_US |
| dc.title | Construction of coarse-grained order parameters in nonequilibrium systems | en_US |
| dc.type | Article | en_US |