Complexity as a form of transition from dynamics to thermodynamics: Application to sociological and biological processes.

Complexity as a form of transition from dynamics to thermodynamics: Application to sociological and biological processes.

Date: May 2003
Creator: Ignaccolo, Massimiliano
Description: This dissertation addresses the delicate problem of establishing the statistical mechanical foundation of complex processes. These processes are characterized by a delicate balance of randomness and order, and a correct paradigm for them seems to be the concept of sporadic randomness. First of all, we have studied if it is possible to establish a foundation of these processes on the basis of a generalized version of thermodynamics, of non-extensive nature. A detailed account of this attempt is reported in Ignaccolo and Grigolini (2001), which shows that this approach leads to inconsistencies. It is shown that there is no need to generalize the Kolmogorov-Sinai entropy by means of a non-extensive indicator, and that the anomaly of these processes does not rest on their non-extensive nature, but rather in the fact that the process of transition from dynamics to thermodynamics, this being still extensive, occurs in an exceptionally extended time scale. Even, when the invariant distribution exists, the time necessary to reach the thermodynamic scaling regime is infinite. In the case where no invariant distribution exists, the complex system lives forever in a condition intermediate between dynamics and thermodynamics. This discovery has made it possible to create a new method of analysis ...
Contributing Partner: UNT Libraries
Probability flux as a method for detecting scaling

Probability flux as a method for detecting scaling

Date: April 5, 2010
Creator: Ignaccolo, Massimiliano; Grigolini, Paolo & West, Bruce J.
Description: Paper on probability flux as a method for detecting scaling.
Contributing Partner: UNT College of Arts and Sciences
Towards the timely detection of toxicants

Towards the timely detection of toxicants

Date: April 2004
Creator: Ignaccolo, Massimiliano; Grigolini, Paolo & Gross, Guenter W.
Description: Article discussing the problem of enhancing the sensitivity of biosensors to the influence of toxicants, with an entropy method of analysis, denoted as CASSANDRA, for the specific purpose of studying non-stationary time series.
Contributing Partner: UNT College of Arts and Sciences
Renewal and memory properties in the random growth of surfaces

Renewal and memory properties in the random growth of surfaces

Date: February 4, 2008
Creator: Cakir, Rasit; Grigolini, Paolo & Ignaccolo, Massimiliano
Description: Article discussing the renewal and memory properties in the random growth of surfaces.
Contributing Partner: UNT College of Arts and Sciences
Renewal Aging as Emerging Property of Phase Synchronization

Renewal Aging as Emerging Property of Phase Synchronization

Date: February 6, 2008
Creator: Bianco, Simone; Geneston, Elvis L.; Grigolini, Paolo & Ignaccolo, Massimiliano
Description: Paper discussing renewal aging as emerging property of phase synchronization.
Contributing Partner: UNT College of Arts and Sciences
Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon

Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon

Date: 2003
Creator: Bellazzini, Jacopo; Menconi, Giulia; Ignaccolo, Massimiliano; Buresti, Guido & Grigolini, Paolo
Description: In this article, the authors make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics.
Contributing Partner: UNT College of Arts and Sciences
Random Growth of Interfaces as a Subordinated Process

Random Growth of Interfaces as a Subordinated Process

Date: July 30, 2004
Creator: Failla, Roberto; Grigolini, Paolo; Ignaccolo, Massimiliano & Schwettmann, Arne
Description: Article discussing the random growth of interfaces as a subordinated process.
Contributing Partner: UNT College of Arts and Sciences
Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection

Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection

Date: March 10, 2010
Creator: Ignaccolo, Massimiliano; Latka, Miroslaw; Jernajczyk, Wojciech; Grigolini, Paolo & West, Bruce J.
Description: This article discusses dynamics of electroencephalogram entropy and pitfalls of scaling detection. Herein the authors study the time evolution of diffusion entropy to elucidate the scaling of EGG time series.
Contributing Partner: UNT College of Arts and Sciences
Scaling Breakdown: A Signature of Aging

Scaling Breakdown: A Signature of Aging

Date: July 12, 2002
Creator: Allegrini, Paolo; Bellazzini, Jacopo; Bramanti, G.; Ignaccolo, Massimiliano; Grigolini, Paolo & Yang, J.
Description: In this article, the authors prove that the Lévy walk is characterized by bilinear scaling. This effect mirrors the existence of a form of aging that does not require the adoption of nonstationary conditions.
Contributing Partner: UNT College of Arts and Sciences
Dynamics of EEG Entropy: beyond signal plus noise

Dynamics of EEG Entropy: beyond signal plus noise

Date: February 6, 2009
Creator: Ignaccolo, Massimiliano; Latka, Miroslaw; Jernajczyk, Wojciech; Grigolini, Paolo & West, Bruce J.
Description: Paper discussing the dynamics of EEG entropy.
Contributing Partner: UNT College of Arts and Sciences
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