TY - JOUR
T1 - Cluster derivation of Parisi's RSB solution for disordered systems
AU - Van Mourik, J.
AU - Coolen, A. C C
PY - 2001/3
Y1 - 2001/3
N2 - We propose a general scheme in which disordered systems are allowed to sacrifice energy equi-partitioning and separate into a hierarchy of ergodic sub-systems (clusters) with different characteristic timescales and temperatures. The details of the break-up follow from the requirement of stationarity of the entropy of the slower cluster, at every level in the hierarchy. We apply our ideas to the Sherrington-Kirkpatrick model, and show how the Parisi solution can be derived quantitatively from plausible physical principles. Our approach gives new insight into the physics behind Parisi's solution and its relations with other theories, numerical experiments, and short-range models.
AB - We propose a general scheme in which disordered systems are allowed to sacrifice energy equi-partitioning and separate into a hierarchy of ergodic sub-systems (clusters) with different characteristic timescales and temperatures. The details of the break-up follow from the requirement of stationarity of the entropy of the slower cluster, at every level in the hierarchy. We apply our ideas to the Sherrington-Kirkpatrick model, and show how the Parisi solution can be derived quantitatively from plausible physical principles. Our approach gives new insight into the physics behind Parisi's solution and its relations with other theories, numerical experiments, and short-range models.
UR - http://www.scopus.com/inward/record.url?scp=0038978107&partnerID=8YFLogxK
UR - https://iopscience.iop.org/article/10.1088/0305-4470/34/10/105
U2 - 10.1088/0305-4470/34/10/105
DO - 10.1088/0305-4470/34/10/105
M3 - Letter, comment/opinion or interview
AN - SCOPUS:0038978107
SN - 0305-4470
VL - 34
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 10
M1 - L111
ER -