The Sherrington phenomenon
نویسندگان
چکیده
منابع مشابه
The Sherrington-Kirkpatrick model
The Sherrington-Kirkpatrick (SK) model was introduced by David Sherrington and Scott Kirkpatrick in 1975 as a simple ‘solvable’ (in their words) model for spin-glasses. Spin-glasses are some type of magnetic alloys, and ‘solvable’ meant that the asymptotic free entropy density could be computed exactly. It turns out that the original SK solution was incorrect and in fact inconsistent (the autho...
متن کاملBeyond the Sherrington-kirkpatrick Model
The state of art in spin glass field theory is reviewed. We start from an Edwards-Anderson-type model in finite dimensions, with finite but long range forces, construct the effective field theory that allows one to extract the long wavelength behaviour of the model, and set up an expansion scheme (the loop expansion) in the inverse range of the interaction. At the zeroth order we recover mean f...
متن کاملLocal optima of the Sherrington-Kirkpatrick Hamiltonian
We study local optima of the Hamiltonian of the Sherrington-Kirkpatrick model. We compute the exponent of the expected number of local optima and determine the “typical” value of the Hamiltonian. *Supported by NSERC Discovery Grant 341845. †Supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada. ‡Supported by the SpanishMinistry of Economy and Competitiveness, Gran...
متن کاملPercolation in the Sherrington-Kirkpatrick Spin Glass
We present extended versions and give detailed proofs of results concerning percolation (using various sets of two-replica bond occupation variables) in Sherrington-Kirkpatrick spin glasses (with zero external field) that were first given in an earlier paper by the same authors. We also explain how ultrametricity is manifested by the densities of large percolating clusters. Our main theorems co...
متن کاملThe poetry of Sir Charles Sherrington.
The title-poem in Sherrington’s The Assaying of Brabantius (1925) is a substantial piece taking up about three-sevenths of the volume. A third of the remaining poems ascertainably belong to the period of the First World War, but this visionary allegory with a quasi-mediaeval setting offers itself as a relatively early work. Its theme of the sinner redeemed by the innocent love for a boy (yet co...
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ژورنال
عنوان ژورنال: The Journal of Physiology
سال: 1936
ISSN: 0022-3751
DOI: 10.1113/jphysiol.1936.sp003343