Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Origins of scaling relations in nonequilibrium growth   Scaling and hyperscaling laws provide exact relations among critical
exponents describing the behavior of a system at criticality. For
nonequilibrium growth models with a conserved drift there exist few of them.
One such relation is $\alpha +z=4$, found to be inexact in a renormalization
group calculation for several classical models in this field. Herein we focus
on the two-dimensional case and show that it is possible to construct conserved
surface growth equations for which the relation $\alpha +z=4$ is exact in the
renormalization group sense. We explain the presence of this scaling law in
terms of the existence of geometric principles dominating the dynamics.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex