Fast modes in the set of minimal dissipation trajectories

2017 ◽  
Vol 101 ◽  
pp. 28-36 ◽  
Author(s):  
S.C. Jugade ◽  
Debasattam Pal ◽  
Rachel K. Kalaimani ◽  
Madhu N. Belur
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Author(s):  
Andrei A. Akhremenkov ◽  
Anatoliy M. Tsirlin ◽  
Vladimir Kazakov

In this paper we consider heat exchange system from point of view of Finite-time thermodynamics. At first time the novel estimate of the minimal entropy production in a general-type heat exchange system with given heat load and fixed heat exchange surface is derived. The corresponding optimal distribution of heat exchange surface and optimal contact temperatures are also obtained. It is proven that if a heat flow is proportional to the difference of contacting flows’ temperatures then dissipation in a multi-flow heat exchanger is minimal only if the ratio of contact temperatures of any two flows at any point inside heat exchanger is the same and the temperatures of all heating flows leaving exchanger are also the same. Our result based on those assumptions: 1. heat transfer law is linear (17); 2. summary exchange surface is given; 3. heat load is given; 4. input tempretures for all flows are given; 5. water equivalents for all flows are given.


2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Marcus V. S. Bonança ◽  
Sebastian Deffner

Author(s):  
Stanislaw Sieniutycz ◽  
Anatoliy M. Tsirlin ◽  
Andrei A. Akhremenkov

2001 ◽  
Vol 08 (02) ◽  
pp. 157-168 ◽  
Author(s):  
Anatolii Tsirlin ◽  
Sergey Amelkin

An analogy between microeconomic and irreversible thermodynamic systems is shown. The concepts of economic irreversibility, dissipation of capital are introduced and conditions of minimal dissipation are obtained. Problems of optimal control of prices in the processes of resources exchange are solved and the extremal principle for the determination of stationary state of an open microeconomic system is formulated.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Egor E. Nuzhin ◽  
Maxim E. Panov ◽  
Nikolai V. Brilliantov

AbstractWe report a possible solution for the long-standing problem of the biological function of swirling motion, when a group of animals orbits a common center of the group. We exploit the hypothesis that learning processes in the nervous system of animals may be modelled by reinforcement learning (RL) and apply it to explain the phenomenon. In contrast to hardly justified models of physical interactions between animals, we propose a small set of rules to be learned by the agents, which results in swirling. The rules are extremely simple and thus applicable to animals with very limited level of information processing. We demonstrate that swirling may be understood in terms of the escort behavior, when an individual animal tries to reside within a certain distance from the swarm center. Moreover, we reveal the biological function of swirling motion: a trained for swirling swarm is by orders of magnitude more resistant to external perturbations, than an untrained one. Using our approach we analyze another class of a coordinated motion of animals—a group locomotion in viscous fluid. On a model example we demonstrate that RL provides an optimal disposition of coherently moving animals with a minimal dissipation of energy.


Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 891 ◽  
Author(s):  
Anatoly Tsirlin ◽  
Larisa Gagarina

In this paper, we consider optimal trading processes in economic systems. The analysis is based on accounting for irreversibility factors using the wealth function concept. The existence of the welfare function is proved, the concept of capital dissipation is introduced as a measure of the irreversibility of processes in the microeconomic system, and the economic balances are recorded, including capital dissipation. Problems in the form of kinetic equations leading to given conditions of minimal dissipation are considered.


Author(s):  
Garrett D. Cole ◽  
Ignacio Wilson-Rae ◽  
Michael R. Vanner ◽  
Simon Groblacher ◽  
Johannes Pohl ◽  
...  
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