Elementary excitations and avalanches in the Coulomb ... - PhysioNet

More documents

Recommendations

Info

$J. Phys. A: Math. Gen., Vol. 9. No. 9,1976. Printed in Great Britain ...$

Avalanche size distribution for dipole insertionwith restricted hopping length≤ R maxP (Y ) ∼ Y −τ exp(−Y/S c )Y= avalanche sizeR max independent of L R max proportional toL10 1 5 10 15 20p(Y | R max = 2,4)10 010 -110 -210 -3R max = 2R max = 4(shifted by factor 10)L=163060p(Y | R max = L/10)10 -110 -210 -310 -4L=16306010 0 5 10 15 20 25 3010 -4Y10 -5Y1S c ∼ LS c ∼ const- Long O(L) hops are necessary to sustain scale-free avalanches- In a glass phase we expect scale-free avalanches also for finiteR max
Average number of dipoles destabilizedcharge insertion2-DOSf(ω) =g 0ln(∆/ω) α ∼ g 0dipole insertionrdrrdrN u =∫ Lr 0N u (r) ∝ g 04πr 2 dr∫ 1/r20f(ω)dω ∝ g 0 L N u =∫ Lr 0N u (r) ∝ g 0 /r4πr 2 dr∫ 1/r30f(ω)dω ∝ g 0 log L
Page 1 and 2: Elementary excitations andavalanche
Page 3 and 4: Classical electron glass model (Efr
Page 5 and 6: One-particle energy:ɛɛ i = ∑ j
Page 7 and 8: Dipole excitations:ω ij = ɛ j −
Page 9: Charge avalanches1. Find a local mi
Page 12 and 13: Infinite-range spin glass3D Coulomb
Page 14 and 15: Avalanches and nonlinear screeningB
Page 18 and 19: # of unstable long hops created (3D
Page 20: Infinite-range spin glass3D Coulomb
Page 23 and 24: Equilibrium finite temperature 1-DO
Page 25 and 26: Zero temperature 1-DOSL = 100L = 10
Page 27: conclusionsyessaturatedquadratic ga

Elementary excitations and avalanches in the Coulomb ... - PhysioNet

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?