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Common Complex Collective Phenomena in Statistical Mechanics, Society , Economics, and Biology

Objective

The dynamics of autocatalytic agents in noisy environment is a basic mechanism in many branches of natural and social sciences. In particular the emergence of localized objects with complex adaptive properties is a common feature not explained by PDE bas ed pattern formation theories. In former works we have established a new concept for the study of this field, namely, adaptation of autocatalytic fluctuations to noise. The emergence of dynamical phase transition through the combination of fluctuations and autoreactivity has been demonstrated theoretically and by numerical simulations. These results were further analyzed by mathematicians. Their theorems imply a distinction between the typical and the average behavior and emphasize the rule of rare eve nts. While the initial model was very abstract, it appears to capture the essence of the accelerated growth in noisy environments, and it attracts interest from experts in various fields. Moreover, our current results show that noise induced adaptation e xists in a wider range of models. We hereby propose a theoretical and experimental extension of our models to real phenomena. The suggested study involves an analysis of pattern formation and adaptation in noisy reactive systems. Effects of single/multi species competition, external sources and non-Brownian stochastic dynamics are to be considered and applied to the wide range of problems. Techniques, adapted from physics and mathematics, together with numerical simulations, will be used to analyze th e behavior of experimental systems. The systems that we will study are: 1) socio-economic growth in Poland after economic liberalization 2) localization of new industries emergence within social networks 3) the role of innovation diffusion in the locali zation of economic growth 4) the role of localization in the function of B cells. To this effect real data have been and are going to be gathered and analyzed. Moreover one envisages new e

Call for proposal

FP6-2003-NEST-PATH
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Coordinator

FONDAZIONE ISTITUTO PER L'INTERSCAMBIO SCIENTIFICO
Address
Viale Settimio Severo 65
Torino
Italy

Participants (4)

SCUOLA SUPERIORE SANT'ANNA DI STUDI E PERFEZIONAMENTO
Italy
Address
Piazza Martiri Della Libertà 33
Pisa
UNIVERSITE PANTHEON-ASSAS - PARIS II
France
Address
Place Du Pantheon 12
Paris
UNIWERSYTET WARSZAWSKI
Poland
Address
Krakowskie Przedmiescie 26/28
Warszawa
BAR ILAN UNIVERSITY
Israel
Address
Bar Ilan University
Ramat Gan