Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Condensed Matter > Statistical Mechanics

arXiv:1909.09403 (cond-mat)
[Submitted on 20 Sep 2019 (v1), last revised 7 Jan 2020 (this version, v2)]

Title:The 1+1 dimensional Kardar-Parisi-Zhang equation: more surprises

Authors:Herbert Spohn
View PDF
Abstract:In its original version the KPZ equation models the dynamics of an interface bordering a stable phase against a metastable one. Over past years the corresponding two-dimensional field theory has been applied to models with different physics. Out of a wide choice, the spin-spin time correlations for the Heisenberg chain will be discussed at some length, also the equilibrium time-correlations of the conserved fields for 1D fluids. An interesting recent theoretical advance is the construction of the scale-invariant asymptotic theory, the so-called KPZ fixed point.
Comments: 15 pages, 5 figures, StatPhys27, added references, typos
Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)
Cite as: arXiv:1909.09403 [cond-mat.stat-mech]
  (or arXiv:1909.09403v2 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1909.09403
Related DOI: https://doi.org/10.1088/1742-5468/ab712a

Submission history

From: Herbert Spohn [view email]
[v1] Fri, 20 Sep 2019 10:13:53 UTC (5,608 KB)
[v2] Tue, 7 Jan 2020 13:15:08 UTC (5,608 KB)
Full-text links:

Access Paper:

view license
Current browse context:
cond-mat.stat-mech
< prev   |   next >
new | recent | 2019-09
Change to browse by:
cond-mat
math
math-ph
math.MP

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)