Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetization and Lyapunov exponents on a kagome chain with multi-site
  exchange interaction   The Ising approximation of the Heisenberg model in a strong magnetic field,
with two, three and six spin exchange interactions is studied on a kagome
chain. The kagome chain can be considered as an approximation of the third
layer of 3He absorbed on the surface of graphite (kagome lattice). By using
dynamical approach we have found one and multi-dimensional mappings (recursion
relations) for the partition function. The magnetization diagrams are plotted
and they show that the kagome chain is separating into four sublattices with
different magnetizations. Magnetization curves of two sublattices exhibit
plateaus at zero and 2/3 of the saturation field. The maximal Lyapunov exponent
for multi-dimensional mapping is considered and it is shown that near the
magnetization plateaus the maximal Lyapunov exponent also exhibits plateaus.

24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs