dissipative system वाक्य
उदाहरण वाक्य
मोबाइल
- One way of mathematically modeling a dissipative system is given in the article on " wandering sets " : it involves the action of a measurable set.
- For example, a dissipative system involving self-assembly of nanowires has been used as a model to understand the relationship between entropy generation and the robustness of biological systems.
- He called these systems dissipative systems, because they are formed and maintained by the dissipative processes that exchange energy between the system and its environment, and because they disappear if that exchange ceases.
- It is the fact that the eigenvalues k ^ {-m } that marks this as a dissipative system : for a non-dissipative measure-preserving dynamical system, the eigenvalues of the transfer operator lie on the unit circle.
- If there exists a wandering set of positive measure, then the action of \ Gamma is said to be "'dissipative "', and the dynamical system ( \ Omega, \ Gamma ) is said to be a dissipative system.
- Prigogine called these systems dissipative systems, because they are formed and maintained by the dissipative processes which take place because of the exchange of energy between the system and its environment and because they disappear if that exchange ceases.
- The "'Hierarchical equations of motion "'( HEOM ) technique derived by R . Kubo and Y . Tanimura is a non-perturbative approach developed to study the evolution of a density matrix \ rho ( t ) of quantum dissipative systems.
- In thermodynamic terminology, human economic activity ( as well as the activity of the human life units which make it up ) may be described as a dissipative system, which flourishes by consuming free energy in transformations and exchange of resources, goods, and services.
- For a given field y ( x, t ) and diffusion coefficient ( or " viscosity ", as in the original fluid mechanical context ) d, the general form of Burgers'equation ( also known as "'viscous Burgers'equation "') in one space dimension is the dissipative system:
- A generalisation of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics ( 1788 and 1833, respectively ), it does not apply to systems that cannot be modeled with a Lagrangian; for example, dissipative systems with continuous symmetries need not have a corresponding conservation law.
- While the " total energy " ( the sum of the energies of the mean motion and of the wave motion ) is conserved for a non-dissipative system, the energy of the wave motion is not conserved, since in general there can be an exchange of energy with the mean motion.
- It has been argued by some that all emergent order in the universe from galaxies, solar systems, planets, weather, complex chemistry, evolutionary biology to even consciousness, technology and civilizations are themselves examples of thermodynamic dissipative systems; nature having naturally selected these structures to accelerate entropy flow within the universe to an ever-increasing degree.
- These apparent violations are due to the fact that the traditional conservation laws in classical and quantum electrodynamics ( QED ) only display linear U ( 1 ) symmetry ( in particular, by the extended Noether theorem, conservation laws such as the laws of thermodynamics need not always apply to dissipative systems, which are expressed in gauges of higher symmetry ).
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