Domain coarsening in fractonic systems: A cascade of critical exponents.

Gliozzi, Jacopo; Balducci, Federico; De Tomasi, Giuseppe · Phys Rev E · 2026

basic_science · Level V

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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.