Domain coarsening in fractonic systems: A cascade of critical exponents
Abstract
We study the dynamics of domain growth when multipole moments of the order parameter are conserved. Following a quench into the ordered phase of the Ising model, the typical size of domains grows with time as R(t)∼t^{1/2} in the absence of conserved quantities. When the order parameter is conserved, the domain growth slows to R(t)∼t^{1/3}. Conservation of higher moments of the order parameter fundamentally modifies this behavior: Coarsening proceeds via anomalously slow growth. We analytically and numerically show that conservation of the mth multipole moment causes domains to grow as R(t)∼t^{1/(2m+3)}. This cascade of dynamical critical exponents characterizes a new family of nonequilibrium universality classes for fractonic systems.
Fields of Study & Subjects
Hydrocarbon exploration and reservoir analysis
Theoretical and Computational Physics
Surfactants and Colloidal Systems
Publication details
- Journal / source
- Physical review. E
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 4
- Pages
- 044112–044112
- Publication date
- 11 March 2026
- Language
- EN