Escape over a potential barrier driven by colored noise: Large but finite correlation times

The recent theory of Tsironis and Grigolini for the mean first-passage time from one metastable state to another of a bistable potential for long correlation times of the noise is extended to large but finite correlation times.

Passage times for the decay of an unstable state triggered by colored noise

We study the decay of an unstable state in the presence of colored noise by calculating the moment generating function of the passage-time distribution. The problems of the independence of the initial condition in this non-Markovian process and that of nonlinear effects are addressed. Our results are compared with recent analog simulations.

Decay of unstable states in the presence of colored noise and random initial conditions. I. Theory of nonlinear relaxation times

The general theory of nonlinear relaxation times is developed for the case of Gaussian colored noise. General expressions are obtained and applied to the study of the characteristic decay time of unstable states in different situations, including white and colored noise, with emphasis on the distributed initial conditions. Universal effects of the coupling between colored noise and random initial conditions are predicted.

Sign of the Times, December 2011-January 2012

Newsletter produced by Deaf Services Commission of Iowa

Yield performance of upland rice cultivars at different rates and times of nitrogen application

Nitrogen is the most important nutrient for rice (Oryza sativa L) yields. This study aimed to evaluate the response of upland rice cultivars to N rate and application times in a randomized block design, in subdivided plots with four replications. The studied factors were five rice cultivars (BRS MG Curinga, BRS Monarca, BRS Pepita, BRS Primavera, and BRS Sertaneja), three application times (100 % at planting, 50 % at planting - 50 % at tillering and 100 % at tillering) and four N rates (0, 50, 100, and 150 kg ha-1). All cultivars responded to increased rates and different times of N application, especially BRS Primavera and BRS Sertaneja, which were the most productive when 50 % N rates were applied at sowing and 50 % at tillering. The response of cultivar BRS Monarca to N fertilization was best when 100 % of the fertilizer was applied at tillering.

Body, Disease and Treatment in a Changing World. Latin texts and contexts in ancient and medieval medicine (Proceedings of the ninth International Conference «Ancient Latin Medical Texts», Hulme Hall, University of Manchester, 5th-8th September 2007),

This volume reflects a variegated and fruitful dialogue between classical and medieval philologists and historians of science, philosophy, literature and language as well as of medicine - the diverse range of interests that the history of medicine in the Graeco-Roman world and the medieval West continues to stimulate and draw on. A recurrent theme is the transformation of medical knowledge in different languages, literary forms and cultural milieux. Several papers concern editorial work in progress on unpublished texts, available only in manuscript or early printed editions. Ce recueil met en dialogue des spécialistes des textes médicaux latins de l'Antiquité et du Moyen Âge. Certaines analyses adoptent une approche sociolinguistique, d'autres s'intéressent à des questions de transmission et de réception, d'autres enfin livrent des études sur le lexique médical. Mais toutes concourent à éclairer une histoire culturelle de la médecine qui s'inscrit dans un monde en mutation. With a preface by D. R. Langslow, and contributions by M. Baldin, J. P. Barragán Nieto, P. P. Conde Parrado, D. Crismani, M. Cronier, C. de la Rosa Cubo, A. Ferraces Rodríguez, K.-D. Fischer, P. Gaillard-Seux, A. García González, V. Gitton-Ripoll, G. Haverling, F. Le Blay, B. Maire, G. Marasco, A. I. Martín Ferreira, I. Mazzini, F. Messina, Ph. Mudry, V. Nutton, M. Pardon-Labonnelie, R. Passarella, M. J. Pérez Ibáñez, S. Sconocchia, A. M. Urso, M. E. Vázquez Buján, and H. von Staden.

First-passage times for a marginal state driven by colored noise

The dynamical process through a marginal state (saddle point) driven by colored noise is studied. For small correlation time of the noise, the mean first-passage time and its variance are calculated using standard methods. When the correlation time of the noise is finite or large, an alternative approach, based on simple physical arguments, is proposed. It will allow us to study also the passage times of an unstable state. The theoretical predictions are tested satisfactorily by the use of computer simulations.

First-passage times for non-Markovian processes

First-passage time statistics for non-Markovian processes have heretofore only been developed for processes driven by dichotomous fluctuations that are themselves Markov. Herein we develop a new method applicable to Markov and non-Markovian dichotomous fluctuations and calculate analytic mean first-passage times for particular examples.

First-passage times for non-Markovian processes: Correlated impacts on a free process

We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by dichotomous fluctuations. The fluctuations themselves need not be Markovian. We calculate analytic first-passage-time distributions and mean first-passage times for exponential, rectangular, and long-tail temporal distributions of the fluctuations.

First-passage times for non-Markovian processes: Correlated impacts on bound processes

Our previously developed stochastic trajectory analysis technique has been applied to the calculation of first-passage time statistics of bound processes. Explicit results are obtained for linearly bound processes driven by dichotomous fluctuations having exponential and rectangular temporal distributions.

Bistability driven by Gaussian colored noise: First-passage times

Herein we present a calculation of the mean first-passage time for a bistable one-dimensional system driven by Gaussian colored noise of strength D and correlation time ¿c. We obtain quantitative agreement with experimental analog-computer simulations of this system. We disagree with some of the conclusions reached by previous investigators. In particular, we demonstrate that all available approximations that lead to a state-dependent diffusion coefficient lead to the same result for small D¿c.

First-passage times for non-Markovian processes: Shot noise

The stochastic-trajectory-analysis technique is applied to the calculation of the mean¿first-passage-time statistics for processes driven by external shot noise. Explicit analytical expressions are obtained for free and bound processes.

First-passage times for non-Markovian processes: Multivalued noise

A new method for the calculation of first-passage times for non-Markovian processes is presented. In addition to the general formalism, some familiar examples are worked out in detail.

Life Times, Summer 2009

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