Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temperature Dependence of Nonlinear Susceptibilities in an Infinite
  Range Interaction Model   We present a model to probe metamagnetic properties in systems with an
arbitrary number of interacting spins. Thermodynamic properties such as the
magnetization per particle $m(B,T,N)$, linear susceptibility $\chi_1(T)$,
nonlinear susceptibilities $\chi_3(T)$ and $\chi_5(T)$, specific heat
$C(B,T,N)$, and pressure $P(B,T,N)$ were calculated. The model produces a
different magnetic response for $N$ particles when comparing to $N - 1$
particles for small $N \sim 1$. For an even number of particles, the
susceptibilities show maxima in their temperature dependence. An odd number
produces an additional free spin response that dominates at low temperatures.
This free spin response for odd $N$ also produces a step in the magnetization
per particle at $B = 0$. The magnetization shows $N/2$ steps at $\gamma B_c/J =
n$ with integer $n$ for even $N$ and $(N-1)/2$ additional steps at half-integer
$n$ starting at 3/2 for odd $N$. Small clusters respond with metamagnetism in
an otherwise isotropic spin space, while the large clusters show no
metamagnetism.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math