Housekeeping and excess entropy production for general nonlinear dynamics
نویسندگان
چکیده
We propose a housekeeping/excess decomposition of entropy production for general nonlinear dynamics in discrete space, including chemical reaction networks and stochastic systems. exploit the geometric structure thermodynamic forces to define decomposition; this does not rely on notion steady state, it even applies systems that exhibit multistability, limit cycles, chaos. In decomposition, distinct aspects contribute separately production: housekeeping part stems from cyclic mode arises external driving, generalizing Schnakenberg's nonsteady states, while excess an instantaneous relaxation conservative forces. Our refines previously known uncertainty relations speed limits. particular, only improves optimal-transport-theoretic limit, but also extends optimal transport theory nonconservative settings.
منابع مشابه
the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media
امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...
Nonadiabatic entropy production for non-Markov dynamics.
We extend the definition of nonadiabatic entropy production given for Markovian systems by Esposito and Van den Broeck [Phys. Rev. Lett. 104, 090601 (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a notion of stability characterizing non-Markovianity. For stable non-Markovian systems, the nonadiabatic entropy production satisfies an integral fluctuation theorem, leading to ...
متن کاملDefinition of General Operator Space and The s-gap Metric for Measuring Robust Stability of Control Systems with Nonlinear Dynamics
In the recent decades, metrics have been introduced as mathematical tools to determine the robust stability of the closed loop control systems. However, the metrics drawback is their limited applications in the closed loop control systems with nonlinear dynamics. As a solution in the literature, applying the metric theories to the linearized models is suggested. In this paper, we show that usin...
متن کاملInformation Entropy Dynamics and Maximum Entropy Production Principle
The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production principle (MEPP). Asymptotic convergence of pdf provides new justification of MEPP while convergence of differential entropy is important in asymptotic analysis of ...
متن کاملRandom Dynamics, Entropy Production and Fisher Information
We analyze a specific role of probability density gradients in the theory of irreversible transport processes. The classic Fisher information and information entropy production concepts are found to be intrinsically entangled with the very notion of the Markovian diffusion process and that of the related (local) momentum conservation law. 1 Motivations and associations The main objective of the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review research
سال: 2023
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.5.013017