https://doi.org/10.1140/epjs/s11734-023-00882-w
Regular Article
The role of magnetization in phase-ordering kinetics of the short-range and long-range Ising model
1
Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081, Leipzig, Germany
2
NEC Laboratories Europe GmbH, Kurfürsten-Anlage 36, 69115, Heidelberg, Germany
3
Amity Institute of Applied Sciences, Amity University Uttar Pradesh, 201313, Noida, India
a
wolfhard.janke@itp.uni-leipzig.de
Received:
1
February
2023
Accepted:
12
May
2023
Published online:
26
June
2023
The kinetics of phase ordering has been investigated for numerous systems via the growth of the characteristic length scale 
quantifying the size of ordered domains as a function of time t, where 
is the growth exponent. The behavior of the squared magnetization 
has mostly been ignored, even though it is one of the most fundamental observables for spin systems. This is most likely due to its vanishing for quenches in the thermodynamic limit. For finite systems, on the other hand, we show that the squared magnetization does not vanish and may be used as an easier to extract alternative to the characteristic length. In particular, using analytical arguments and numerical simulations, we show that for quenches into the ordered phase, one finds 
where 
is the equilibrium magnetization, d the spatial dimension, and V the volume of the system.
Henrik Christiansen and Suman Majumder contributed equally to this work.
© The Author(s) 2023
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