Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeno Friction and Anti-friction from Quantum Collision Models   We analyze the quantum mechanics of the friction experienced by a small
system as it moves non-destructively with velocity $v$ over a surface.
Specifically, we model the interactions between the system and the surface with
a \textit{collision model}. We show that, under weak assumptions, the magnitude
of the friction induced by this interaction decreases as $1/v$ for large
velocities. Specifically, we predict that this phenomenon occurs in the Zeno
regime, where each of the system's successive couplings to subsystems of the
surface is very brief. In order to investigate the friction at low velocities
and with velocity-dependent coupling strengths, we motivate and develop
\textit{one-dimensional convex collision models}. Within these models, we
obtain an analytic expression for the general friction-velocity dependence. We
are thus able to determine exactly the conditions under which the usual
friction-velocity dependency arises. Finally, we give examples that demonstrate
the possibility, in principle, of anti-friction, in which case the system is
accelerated by its interaction with the surface, a phenomenon associated with
active materials and inverted level populations.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin