Colored thermal noise driven dynamical system in the presence and absence of non-equilibrium constraint: time dependence of information entropy flux and entropy production

2005 ◽  
Vol 312 (1-3) ◽  
pp. 47-53 ◽  
Author(s):  
Gurupada Goswami ◽  
Biswajit Mukherjee ◽  
Bidhan Chandra Bag
2009 ◽  
Vol 23 (18) ◽  
pp. 3789-3802 ◽  
Author(s):  
PRADIP MAJEE ◽  
GURUPADA GOSWAMI ◽  
DEBASHIS BARIK ◽  
BIDHAN CHANDRA BAG

In this paper we have studied the dynamics of thermal broadband noise-driven dynamical system in terms of information entropy at both the nonstationary and stationary states. Here, a unified description of fluctuating force is considered in a thermodynamically closed system. Based on the Fokker–Planck description of stochastic processes and the entropy balance equation, we have calculated the time-dependence of the information entropy production and entropy flux in the presence and absence of nonequilibrium constraint. Our calculation considers how the time evolution of these quantities is affected if the characteristic of noise changes from white to red or green and red to green in a unified scheme.


2011 ◽  
Vol 2011 ◽  
pp. 1-25
Author(s):  
Monoj Kumar Sen ◽  
Alendu Baura ◽  
Bidhan Chandra Bag

We have studied dynamics of both internal and external noises-driven dynamical system in terms of information entropy at both nonstationary and stationary states. Here a unified description of entropy flux and entropy production is considered. Based on the Fokker-Planck description of stochastic processes and the entropy balance equation we have calculated time dependence of the information entropy production and entropy flux in presence and absence of nonequilibrium constraint (NEC). In the presence of NEC we have observed extremum behavior in the variation of entropy production as function of damping strength, noise correlation, and non-Gaussian parameter (which determine the deviation of external noise behavior from Gaussian characteristic), respectively. Thus the properties of noise process are important for entropy production.


2009 ◽  
Vol 23 (19) ◽  
pp. 2385-2398
Author(s):  
MONOJ KUMAR SEN ◽  
BIDHAN CHANDRA BAG

In this paper we study time evolution of configuration space in terms of information entropy flux and entropy production for colored cross-correlated noise-driven open systems. The effect of interference in additive and multiplicative white noises on entropy flux and entropy production is calculated based on the Fokker–Planck description of the stochastic process and information entropy balance equation. The variation of entropy production with the damping constant or strength of multiplicative noise reveals nonmonotonic behavior as a result of the interplay of deterministic and random forces.


2010 ◽  
Vol 59 (4) ◽  
pp. 2235
Author(s):  
Guo Yong-Feng ◽  
Xu Wei ◽  
Li Dong-Xi ◽  
Wang Liang

Entropy ◽  
2020 ◽  
Vol 22 (10) ◽  
pp. 1095
Author(s):  
Andrew J. E. Seely

Understanding how nature drives entropy production offers novel insights regarding patient care. Whilst energy is always preserved and energy gradients irreversibly dissipate (thus producing entropy), increasing evidence suggests that they do so in the most optimal means possible. For living complex non-equilibrium systems to create a healthy internal emergent order, they must continuously produce entropy over time. The Maximum Entropy Production Principle (MEPP) highlights nature’s drive for non-equilibrium systems to augment their entropy production if possible. This physical drive is hypothesized to be responsible for the spontaneous formation of fractal structures in space (e.g., multi-scale self-similar tree-like vascular structures that optimize delivery to and clearance from an organ system) and time (e.g., complex heart and respiratory rate variability); both are ubiquitous and essential for physiology and health. Second, human entropy production, measured by heat production divided by temperature, is hypothesized to relate to both metabolism and consciousness, dissipating oxidative energy gradients and reducing information into meaning and memory, respectively. Third, both MEPP and natural selection are hypothesized to drive enhanced functioning and adaptability, selecting states with robust basilar entropy production, as well as the capacity to enhance entropy production in response to exercise, heat stress, and illness. Finally, a targeted focus on optimizing our patients’ entropy production has the potential to improve health and clinical outcomes. With the implications of developing a novel understanding of health, illness, and treatment strategies, further exploration of this uncharted ground will offer value.


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