Non-Poissonian statistics, aging and "blinking'" quantum dots.

Non-Poissonian statistics, aging and "blinking'" quantum dots.

Date: August 2004
Creator: Aquino, Gerardo
Description: This dissertation addresses the delicate problem of aging in complex systems characterized by non-Poissonian statistics. With reference to a generic two-states system interacting with a bath it is shown that to properly describe the evolution of such a system within the formalism of the continuous time random walk (CTRW), it has to be taken into account that, if the system is prepared at time t=0 and the observation of the system starts at a later time ta>0, the distribution of the first sojourn times in each of the two states depends on ta, the age of the system. It is shown that this aging property in the fractional derivative formalism forces to introduce a fractional index depending on time. It is shown also that, when a stationary condition exists, the Onsager regression principle is fulfilled only if the system is aged and consequently if an infinitely aged distribution for the first sojourn times is adopted in the CTRW formalism used to describe the system itself. This dissertation, as final result, shows how to extend to the non-Poisson case the Kubo Anderson (KA) lineshape theory, so as to turn it into a theoretical tool adequate to describe the time evolution of ...
Contributing Partner: UNT Libraries
Linear Response and Fluctuation Dissipation Theorem for non-Poissonian Renewal Processes

Linear Response and Fluctuation Dissipation Theorem for non-Poissonian Renewal Processes

Date: July 8, 2008
Creator: Aquino, Gerardo; Grigolini, Paolo & West, Bruce J.
Description: Article discussing linear response and fluctuation dissipation theorem for non-Poissonian renewal processes.
Contributing Partner: UNT College of Arts and Sciences
Absorption and Emission in the Non-Poissonian Case

Absorption and Emission in the Non-Poissonian Case

Date: July 28, 2004
Creator: Aquino, Gerardo; Palatella, Luigi & Grigolini, Paolo
Description: Article on absorption and emission in the Non-Poissonian Case.
Contributing Partner: UNT College of Arts and Sciences
Generalized Master Equation Via Aging Continuous-Time Random Walks

Generalized Master Equation Via Aging Continuous-Time Random Walks

Date: 2003
Creator: Allegrini, Paolo; Aquino, Gerardo; Grigolini, Paolo; Palatella, Luigi & Rosa, Angelo
Description: This article discusses the problem of the equivalence between continuous-time random walk (CTRW) and generalized master equation (GME).
Contributing Partner: UNT College of Arts and Sciences
Publisher's Note: Beyond the Death of Linear Response: 1/f Optimal Information Transport [Phys. Rev. Lett. 105,040601 (2010)]

Publisher's Note: Beyond the Death of Linear Response: 1/f Optimal Information Transport [Phys. Rev. Lett. 105,040601 (2010)]

Date: August 3, 2010
Creator: Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.
Description: This is a Publisher's Note for the article 'Beyond the Death of Linear Response: 1/f Optimal Information Transport' [Phys. Rev. Lett. 105, 040601 (2010)].
Contributing Partner: UNT College of Arts and Sciences
Aging and Rejuvenation with Fractional Derivatives

Aging and Rejuvenation with Fractional Derivatives

Date: September 10, 2004
Creator: Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.
Description: This article discusses aging rejuvenation with fractional derivatives.
Contributing Partner: UNT College of Arts and Sciences
Breakdown of the Onsager Principle as a Sign of Aging

Breakdown of the Onsager Principle as a Sign of Aging

Date: July 19, 2011
Creator: Allegrini, Paolo; Aquino, Gerardo; Grigolini, Paolo; Palatella, Luigi & Rosa, Angelo
Description: Article discussing the breakdown of the Onsager principle as a sign of aging.
Contributing Partner: UNT College of Arts and Sciences
Transmission of Information Between Complex Systems: 1/ f resonance

Transmission of Information Between Complex Systems: 1/ f resonance

Date: May 31, 2011
Creator: Aquino, Gerardo; Bologna, Mauro; West, Bruce J. & Grigolini, Paolo
Description: In this article, the authors study the transport of information between two complex systems with similar properties.
Contributing Partner: UNT College of Arts and Sciences
Beyond the Death of Linear Response: 1/f Optimal Information Transport

Beyond the Death of Linear Response: 1/f Optimal Information Transport

Date: July 21, 2010
Creator: Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.
Description: Article discussing research on linear response and 1/f optimal information transport.
Contributing Partner: UNT College of Arts and Sciences
Aging and Rejuvenation with Fractional Derivatives

Aging and Rejuvenation with Fractional Derivatives

Date: February 2, 2008
Creator: Aquino, Gerardo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.
Description: Article on aging and rejuvenation with fractional derivatives.
Contributing Partner: UNT College of Arts and Sciences
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