Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact dynamical coarse-graining without time-scale separation   A family of collective variables is proposed to perform exact dynamical
coarse-graining even in systems without time scale separation. More precisely,
it is shown that these variables are not slow in general but they satisfy an
overdamped Langevin equation that statistically preserves the sequence in which
any regions in collective variable space are visited and permits to calculate
exactly the mean first passage times from any such region to another. The role
of the free energy and diffusion coefficient in this overdamped Langevin
equation is discussed, along with the way they transform under any change of
variable in collective variable space. These results apply both for systems
with and without inertia, and they can be generalized to using several
collective variables simultaneously. The view they offer on what makes
collective variables and reaction coordinates optimal breaks from the standard
notion that good collective variable must be slow variable, and it suggests new
ways to interpret data from molecular dynamic simulations and experiments.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio