Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tracer particle diffusion in a system with hardcore interacting
  particles   In this study, inspired by the work of K. Nakazato and K. Kitahara [Prog.
Theor. Phys. 64, 2261 (1980)], we consider the theoretical problem of tracer
particle diffusion in an environment of diffusing hardcore interacting crowder
particles. The tracer particle has a different diffusion constant from the
crowder particles. Based on a transformation of the generating function, we
provide an exact formal expansion for the tracer particle probability density,
valid for any lattice in the thermodynamic limit. By applying this formal
solution to dynamics on regular Bravais lattices we provide a closed form
approximation for the tracer particle diffusion constant which extends the
Nakazato and Kitahara results to include also b.c.c. and f.c.c. lattices.
Finally, we compare our analytical results to simulations in two and three
dimensions.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math