Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
نویسندگان
چکیده
We introduce and study a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to reconstruct all the main features of the original phase diagram, including a low T spin glass phase and a complex dynamical behavior. cond-mat/9406074 ROM2F/94/016 Roma-La Sapienza 1027
منابع مشابه
Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
35 where the expectation value is deened by hA(x)i = R dx e ?x 2 p 2 cosh m (p 2x)A(x) R dx e ?x 2 p 2 cosh m (p 2x) : (62) Inserting in (56) this value of we have searched among the 5 values of g the one which gives the maximum free energy when the stability is marginal (i.e. when (56) is saturated). We have found that the eigenvalue g 5 is the one which gives the maximal free energy. This lea...
متن کاملTemperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos
– Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has...
متن کاملGlassy Behavior of Random Field Magnets
The key unresolved feature of the random eld Ising model is the complex, history dependent behavior found both in experiments and numerical simulations. It appears that for strong enough disorder, and low temperatures, the system falls out of equilibrium, displaying anomalously slow relaxation and other features characteristic of glassy materials. Recently, it has been proposed that this behavi...
متن کاملMaximum matching on random graphs
– The maximum matching problem on random graphs is studied analytically by the cavity method of statistical physics. When the average vertex degree c is larger than 2.7183, groups of max-matching patterns which differ greatly from each other gradually emerge. An analytical expression for the max-matching size is also obtained, which agrees well with computer simulations. Discussion is made on t...
متن کاملThe glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra
The behavior of a newly introduced overlap parameter, measuring the correlation between intensity fluctuations of waves in random media, is analyzed in different physical regimes, with varying amount of disorder and non-linearity. This order parameter allows to identify the laser transition in random media and describes its possible glassy nature in terms of emission spectra data, the only data...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994