Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined universality for critical KCM: upper bounds   We study a general class of interacting particle systems called kinetically
constrained models (KCM) in two dimensions. They are tightly linked to the
monotone cellular automata called bootstrap percolation. Among the three
classes of such models, the critical ones are the most studied.
  Together with the companion paper by Mar\^ech\'e and the author, our work
determines the logarithm of the infection time up to a constant factor for all
critical KCM. This was previously known only up to logarithmic corrections. We
establish that on this level of precision critical KCM have to be classified
into seven categories. This refines the two classes present in bootstrap
percolation and the two in previous rougher results. In the present work we
establish the upper bounds for the novel five categories and thus complete the
universality program for equilibrium critical KCM. Our main innovations are the
identification of the dominant relaxation mechanisms and a more sophisticated
and robust version of techniques recently developed for the study of the
Fredrickson-Andersen 2-spin facilitated model.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
1
The categories of this paper are: cs