Inspired by the bridge pioneered by Guerra among statistical mechanics on lattice and analytical mechanics on 1+1 continuous Euclidean space time, we built a self-consistent method to solve for the thermodynamics of mean field models defined on lattice, whose order parameters self-average. We show the whole procedure by analyzing in full detail the simplest test case, namely, the Curie-Weiss model. Further, we report some applications also to models whose order parameters do not self-average by using the Sherrington-Kirkpatrick spin glass as a guide
We show that Ising spin models where the interaction matrix has eigenvalues whose number and values ...
The phase diagrams of two related classes of spin glass with ferromagnetism are studied in mean fiel...
Conceptual analogies among statistical mechanics and classical (or quan-tum) mechanics often appeare...
The main topic of this lecture series are diordered mean field spin systems. This first section will...
Inspired by a continuously increasing interest in modeling and framing complex systems in a thermody...
This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: ...
A simple general method is presented for solving mean-field spin-glass models where the bond-randomn...
Following an original idea of Guerra, in these notes we analyze the Sherrington-Kirkpatrick model fr...
The mean-field theory of spin-glasses is a solvable model which shows the existence of a new kind of...
Aim of this paper is to illustrate how some recent techniques developed within the framework of spin...
We formulate self-consistency equations for the distribution of links in spin models and of plaquett...
A mean-field replica-type theory is presented for long-range Ising spin-glasses whose interactions c...
. In the Sherrington-Kirkpatrick mean field model for spin glasses, we show that the quenched avera...
In this letter we perform quenched averages (without replicas) for spin-glass systems with local dis...
AbstractIn this paper I explain why I believe that it is important to prove rigorous results about m...
We show that Ising spin models where the interaction matrix has eigenvalues whose number and values ...
The phase diagrams of two related classes of spin glass with ferromagnetism are studied in mean fiel...
Conceptual analogies among statistical mechanics and classical (or quan-tum) mechanics often appeare...
The main topic of this lecture series are diordered mean field spin systems. This first section will...
Inspired by a continuously increasing interest in modeling and framing complex systems in a thermody...
This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: ...
A simple general method is presented for solving mean-field spin-glass models where the bond-randomn...
Following an original idea of Guerra, in these notes we analyze the Sherrington-Kirkpatrick model fr...
The mean-field theory of spin-glasses is a solvable model which shows the existence of a new kind of...
Aim of this paper is to illustrate how some recent techniques developed within the framework of spin...
We formulate self-consistency equations for the distribution of links in spin models and of plaquett...
A mean-field replica-type theory is presented for long-range Ising spin-glasses whose interactions c...
. In the Sherrington-Kirkpatrick mean field model for spin glasses, we show that the quenched avera...
In this letter we perform quenched averages (without replicas) for spin-glass systems with local dis...
AbstractIn this paper I explain why I believe that it is important to prove rigorous results about m...
We show that Ising spin models where the interaction matrix has eigenvalues whose number and values ...
The phase diagrams of two related classes of spin glass with ferromagnetism are studied in mean fiel...
Conceptual analogies among statistical mechanics and classical (or quan-tum) mechanics often appeare...