• Publications
  • Influence
SELF-ORGANIZED CRITICALITY IN THE HYSTERESIS OF THE SHERRINGTON-KIRKPATRICK MODEL
We study hysteretic phenomena in random ferromagnets. We argue that the angle dependent magnetostatic (dipolar) terms introduce frustration and long range interactions in these systems. This makes itExpand
  • 48
  • 4
  • PDF
Theoretical modeling of prion disease incubation.
We apply a theoretical aggregation model to laboratory and epidemiological prion disease incubation time data. In our model, slow growth of misfolded protein aggregates from small initial seedsExpand
  • 21
  • 3
  • PDF
Revisiting the Theory of Finite Size Scaling in Disordered Systems
For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: ${\ensuremath{\nu}}_{\mathrm{FS}}\ensuremath{\ge}2/d$. It is believedExpand
  • 51
  • 3
  • PDF
Using hysteresis for optimization.
We propose a new optimization method based on a demagnetization procedure well known in magnetism. We show how this procedure can be applied as a general tool to search for optimal solutions in anyExpand
  • 39
  • 1
  • PDF
Reversal-field memory in the hysteresis of spin glasses.
We report a novel singularity in the hysteresis of spin glasses, the reversal-field memory effect, which creates a nonanalyticity in the magnetization curves at a particular point related to theExpand
  • 62
  • 1
  • PDF
Statistical mechanics of prion diseases.
We present a two-dimensional, lattice based, protein-level statistical mechanical model for prion diseases (e.g., mad cow disease) with concomitant prion protein misfolding and aggregation. OurExpand
  • 31
  • PDF
Learning within bounds and dream sleep
In a bounded-synapses version of Hopfield's model (1984) for neural networks the quasienergy of a given memory, which is approximately equal to the depth of the corresponding energy well isExpand
  • 11
Hysteretic Optimization
We propose a new optimization method based on a demagnetization procedure well known in magnetism. We show how this procedure can be applied as a general tool to search for optimal solutions in anyExpand
  • 2
  • PDF
Spin glasses with cubic anisotropy
The infinite‐range quantum spin glasses with cubic anisotropy (K) are studied using a combination of the imaginary‐time representation with the n‐replica approach and the thermofield dynamic method.Expand
  • 2