209 research outputs found
Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
This is the fourth paper, the last one, on solution to the problem of absence
of detailed balance in nonequilibrium processes. It is an approach based on
another known universal dynamics: The evolutionary dynamics first conceived by
Darwin and Wallace, referring to as Darwinian dynamics in the present paper,
has been found to be universally valid in biology; The statistical mechanics
and thermodynamics, while enormously successful in physics, have been in an
awkward situation of wanting a consistent dynamical understanding; Here we
present from a formal point of view an exploration of the connection between
thermodynamics and Darwinian dynamics and a few related topics. We first show
that the stochasticity in Darwinian dynamics implies the existence temperature,
hence the canonical distribution of Boltzmann-Gibbs type. In term of relative
entropy the Second Law of thermodynamics is dynamically demonstrated without
detailed balance condition, and is valid regardless of size of the system. In
particular, the dynamical component responsible for breaking detailed balance
condition does not contribute to the change of the relative entropy. Two types
of stochastic dynamical equalities of current interest are explicitly discussed
in the present approach: One is based on Feynman-Kac formula and another is a
generalization of Einstein relation. Both are directly accessible to
experimental tests. Our demonstration indicates that Darwinian dynamics
represents logically a simple and straightforward starting point for
statistical mechanics and thermodynamics and is complementary to and consistent
with conservative dynamics that dominates the physical sciences. Present
exploration suggests the existence of a unified stochastic dynamical framework
both near and far from equilibrium.Comment: latex, 49 page
Complexity, Emergent Systems and Complex Biological Systems:\ud Complex Systems Theory and Biodynamics. [Edited book by I.C. Baianu, with listed contributors (2011)]
An overview is presented of System dynamics, the study of the behaviour of complex systems, Dynamical system in mathematics Dynamic programming in computer science and control theory, Complex systems biology, Neurodynamics and Psychodynamics.\u
A Quantitative Exploration of Two Teachers with Contrasting Emotions: Intra-Individual Process Analyses of Physiology and Interpersonal Behavior
Although the association between teacher-student relations, teacher emotions, and burnout has been proven on a general level, we do not know the exact processes underlying these associations. Recently there has been a call for intra-individual process measures that assess what happens from moment-to-moment in class in order to better understand inter-individual differences in emotions and burnout between teachers. This paper explored the use of process measures of teachers’ heart rate and their interpersonal behavior during teaching. Our aim was to illustrate different ways of analyzing and combining physiological and observational time-series data and to explore their potential for understanding between-teacher differences. In this illustration, we focused on two teachers who represented contrasting cases in terms of their self-reported teaching-related emotions (i.e., anxiety and relaxation) and burnout. We discuss both univariate process analyses (i.e., trend, autocorrelation, stability) as well as state-of-the-art multivariate process analyses (i.e., cross-correlations, dynamic structural equation modeling). Results illustrate how the two teachers differed in the nature of their physiological responses, their interpersonal behavior, and the association between these two process measures over time. Along implications and suggestions for further research, it is discussed how the process-based, dynamic assessment of physiology and interpersonal behavior may ultimately help to understand differences in more general teaching-related emotions and burnout
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