Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-size scaling in the canonical ensemble   We investigate the critical scaling behavior of finite systems in the
canonical ensemble. The essential difference with the grand canonical ensemble.
i.e., the constraint on the number of particles, is already known to lead to
the Fisher renormalization phenomenon that modifies the thermal critical
singularities. We show that, in observables that are not Fisher renormalized,
it also leads to a finite-size effect governed by an exponent $y_1$ that
depends on the temperature exponent $y_t$ and the dimensionality $d$ as
$y_1=-|2y_t-d|$. We verify this prediction by a Monte Carlo analysis of several
two-dimensional lattice models in the percolation, the Ising and the 3-state
Potts universality classes.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex