English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/153011
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:

Title

d-Dimensional KPZ equation as a stochastic gradient flow in an evolving landscape: Interpretation and time evolution of its generating functional

AuthorsWio, Horacio S. ; Rodríguez, Miguel A. ; Gallego, Rafael; Revelli, Jorge A.; Alés, Alejandro; Deza, R. R.
Issue Date18-Jan-2017
PublisherFrontiers Media
CitationFrontiers in Physics 4: 52 (2017)
AbstractThe deterministic KPZ equation has been recently formulated as a gradient flow. Its non-equilibrium analog of a free energy—the “non-equilibrium potential” Φ[h], providing at each time the landscape where the stochastic dynamics of h(x,t) takes place—is however unbounded, and its exact evaluation involves all the detailed histories leading to h(x,t) from some initial configuration h0(x,0). After pinpointing some implications of these facts, we study the time behavior of 〈Φ[h]〉t (the average of Φ[h] over noise realizations at time t) and show the interesting consequences of its structure when an external driving force F is included. The asymptotic form of the time derivative Φ˙[h] is shown to be valid for any substrate dimensionality d, thus providing a valuable tool for studies in d > 1.
Publisher version (URL)http://dx.doi.org/10.3389/fphy.2016.00052
URIhttp://hdl.handle.net/10261/153011
DOI10.3389/fphy.2016.00052
ISSN2296-424X
Appears in Collections:(IFCA) Artículos
Files in This Item:
File Description SizeFormat 
d-Dimensional KPZ Equation as a Stochastic Gradient.pdf2,59 MBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 

Related articles:


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.