Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topotaxis of active Brownian particles   Recent experimental studies have demonstrated that cellular motion can be
directed by topographical gradients, such as those resulting from spatial
variations in the features of a micropatterned substrate. This phenomenon,
known as topotaxis, is especially prominent among cells persistently crawling
within a spatially varying distribution of cell-sized obstacles. In this
article we introduce a toy model of topotaxis based on active Brownian
particles constrained to move in a lattice of obstacles, with space-dependent
lattice spacing. Using numerical simulations and analytical arguments, we
demonstrate that topographical gradients introduce a spatial modulation of the
particles' persistence, leading to directed motion toward regions of higher
persistence. Our results demonstrate that persistent motion alone is sufficient
to drive topotaxis and could serve as a starting point for more detailed
studies on self-propelled particles and cells.

7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom