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Domain coarsening in fractonic systems: A cascade of critical exponents
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DOI：10.1103/x8v2-rxhp.png)
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Abstract
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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) <^> t1/2 in the absence of conserved quantities. When the order parameter is conserved, the domain growth slows to R(t) <^> t1/ 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) <^> t1/(2m+3). This cascade of dynamical critical exponents characterizes a new family of nonequilibrium universality classes for fractonic systems.
Keywords:
SPINODAL DECOMPOSITION
TIME EVOLUTION
MONTE-CARLO
GROWTH
RELAXATION
DYNAMICS
ALLOY
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