Search results for "Self-averaging"

showing 2 items of 2 documents

Fluctuations and lack of self-averaging in the kinetics of domain growth

1986

The fluctuations occurring when an initially disordered system is quenched at timet=0 to a state, where in equilibrium it is ordered, are studied with a scaling theory. Both the mean-sizel(t)d of thed-dimensional ordered domains and their fluctuations in size are found to increase with the same power of the time; their relative size fluctuations are independent of the total volumeLd of the system. This lack of self-averaging is tested for both the Ising model and the φ4 model on the square lattice. Both models exhibit the same lawl(t)=(Rt)x withx=1/2, although the φ4 model has “soft walls”. However, spurious results withx≷1/2 are obtained if “bad” pseudorandom numbers are used, and if the n…

PhysicsSelf-averagingSingularityDomain wall (magnetism)Monte Carlo methodExponentGeneral Materials ScienceIsing modelStatistical physicsCondensed Matter PhysicsSpurious relationshipSquare latticeElectronic Optical and Magnetic MaterialsZeitschrift für Physik B Condensed Matter
researchProduct

Quantum Hopfield Model

2020

We find the free-energy in the thermodynamic limit of a one-dimensional XY model associated to a system of N qubits. The coupling among the &sigma

Self-averagingneuraalilaskentaneuroverkotoverlap parameters01 natural sciencesfree-energy010305 fluids & plasmasCombinatoricsdisordered systems0103 physical sciencesRange (statistics)patternskvantti-informaatio010306 general physicsQuantumself-averagingRandomnessPhysicskvanttitietokoneetClassical XY modellcsh:QC1-999TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESQubitThermodynamic limitRandom variablelcsh:PhysicsPhysics
researchProduct