Domain coarsening in fractonic systems: a cascade of critical exponents

2025/09/04 by Gliozzi, Jacopo, Balducci, Federico, De Tomasi, Giuseppe · 1 citation
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2509.04556

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 m-th multipole moment causes domains to grow as R(t) ∼ t^1/(2m+3). This cascade of dynamical critical exponents characterizes a new family of non-equilibrium universality classes for fractonic systems.

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