Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Visualizing Free Energy Landscapes for Four Hard Disks   We present a simple model system with four hard disks moving in a circular
region for which free energy landscapes can be directly calculated and
visualized in two and three dimensions. We construct several energy landscapes
for our system and explore the strengths and limitations of each in terms of
understanding system dynamics, in particular the relationship between state
transitions and free energy barriers. We also demonstrate the importance of
distinguishing between system dynamics in real space and those in landscape
coordinates, and show that care must be taken to appropriately combine dynamics
with barrier properties to understand the transition rates. This simple model
provides an intuitive way to understand free energy landscapes, and illustrates
the benefits free energy landscapes can have over potential energy landscapes.

20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat