東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Macroscopically Dissipative Systems ...

Asimakopoulos, Aristotelis.

FindBook

Google Book

Amazon

博客來

Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement./
作者:	Asimakopoulos, Aristotelis.
面頁冊數:	72 p.
附註:	Source: Dissertation Abstracts International, Volume: 76-03(E), Section: B.
Contained By:	Dissertation Abstracts International76-03B(E).
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3642398
ISBN:	9781321291995

Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement.
Asimakopoulos, Aristotelis.

Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement. - 72 p.

Source: Dissertation Abstracts International, Volume: 76-03(E), Section: B.

Thesis (Ph.D.)--California Institute of Technology, 2015.

This item must not be sold to any third party vendors.

While some of the deepest results in nature are those that give explicit bounds between important physical quantities, some of the most intriguing and celebrated of such bounds come from fields where there is still a great deal of disagreement and confusion regarding even the most fundamental aspects of the theories. For example, in quantum mechanics, there is still no complete consensus as to whether the limitations associated with Heisenberg's Uncertainty Principle derive from an inherent randomness in physics, or rather from limitations in the measurement process itself, resulting from phenomena like back action. Likewise, the second law of thermodynamics makes a statement regarding the increase in entropy of closed systems, yet the theory itself has neither a universally-accepted definition of equilibrium, nor an adequate explanation of how a system with underlying microscopically Hamiltonian dynamics (reversible) settles into a fixed distribution.

ISBN: 9781321291995Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement.
LDR:03839nmm a2200313 4500 001 2056304
005 20150505071908.5
008 170521s2015 ||||||||||||||||| ||eng d
020 $a 9781321291995
035 $a (MiAaPQ)AAI3642398
035 $a AAI3642398
040 $a MiAaPQ $c MiAaPQ
100 1 $a Asimakopoulos, Aristotelis. $3 3170050
245 1 0 $a Macroscopically Dissipative Systems with Underlying Lossless Dynamics: Properties and Limits of Measurement.
300 $a 72 p.
500 $a Source: Dissertation Abstracts International, Volume: 76-03(E), Section: B.
500 $a Adviser: John C. Doyle.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2015.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a While some of the deepest results in nature are those that give explicit bounds between important physical quantities, some of the most intriguing and celebrated of such bounds come from fields where there is still a great deal of disagreement and confusion regarding even the most fundamental aspects of the theories. For example, in quantum mechanics, there is still no complete consensus as to whether the limitations associated with Heisenberg's Uncertainty Principle derive from an inherent randomness in physics, or rather from limitations in the measurement process itself, resulting from phenomena like back action. Likewise, the second law of thermodynamics makes a statement regarding the increase in entropy of closed systems, yet the theory itself has neither a universally-accepted definition of equilibrium, nor an adequate explanation of how a system with underlying microscopically Hamiltonian dynamics (reversible) settles into a fixed distribution.
520 $a Motivated by these physical theories, and perhaps their inconsistencies, in this thesis we use dynamical systems theory to investigate how the very simplest of systems, even with no physical constraints, are characterized by bounds that give limits to the ability to make measurements on them. Using an existing interpretation, we start by examining how dissipative systems can be viewed as high-dimensional lossless systems, and how taking this view necessarily implies the existence of a noise process that results from the uncertainty in the initial system state. This fluctuation-dissipation result plays a central role in a measurement model that we examine, in particular describing how noise is inevitably injected into a system during a measurement, noise that can be viewed as originating either from the randomness of the many degrees of freedom of the measurement device, or of the environment. This noise constitutes one component of measurement back action, and ultimately imposes limits on measurement uncertainty. Depending on the assumptions we make about active devices, and their limitations, this back action can be offset to varying degrees via control. It turns out that using active devices to reduce measurement back action leads to estimation problems that have non-zero uncertainty lower bounds, the most interesting of which arise when the observed system is lossless. One such lower bound, a main contribution of this work, can be viewed as a classical version of a Heisenberg uncertainty relation between the system's position and momentum. We finally also revisit the murky question of how macroscopic dissipation appears from lossless dynamics, and propose alternative approaches for framing the question using existing systematic methods of model reduction.
590 $a School code: 0037.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Physics, Quantum. $3 1671062
690 $a 0544
690 $a 0599
710 2 $a California Institute of Technology. $b Electrical Engineering. $3 2093069
773 0 $t Dissertation Abstracts International $g 76-03B(E).
790 $a 0037
791 $a Ph.D.
792 $a 2015
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3642398