scholarly journals On the exploitation of the Eshelby stress in isothermal and adiabatic conditions; 126–132

2007 ◽  
Vol 56 (2) ◽  
pp. 126
Author(s):  
A Berezovski ◽  
G A Maugin
Keyword(s):  
Adiabatic Conditions ◽  
Eshelby Stress

Crystallisation of 1-carvone under adiabatic conditions

1995 ◽  
Vol 259 (1) ◽  
pp. 103-109 ◽  
Author(s):  
J.C. van Miltenburg ◽  
J.P. van der Eerden ◽  
H.A.J Oonk ◽  
H.E. Gallis
Keyword(s):  
Adiabatic Conditions

scholarly journals Crystal plasticity: The Hamilton-Eshelby stress in terms of the metric in the intermediate configuration

2012 ◽  
Vol 39 (1) ◽  
pp. 55-69 ◽  
Author(s):  
Paolo Mariano
Keyword(s):  
Free Energy ◽  
Energy Momentum Tensor ◽  
Large Strain ◽  
Momentum Tensor ◽  
Classical Field ◽  
Field Theories ◽  
Relative Power ◽  
Eshelby Stress ◽  
Classical Field Theories ◽  
Intermediate Configuration

The Hamilton-Eshelby stress is a basic ingredient in the description of the evolution of point, lines and bulk defects in solids. The link between the Hamilton-Eshelby stress and the derivative of the free energy with respect to the material metric in the plasticized intermediate configuration, in large strain regime, is shown here. The result is a modified version of Rosenfeld-Belinfante theorem in classical field theories. The origin of the appearance of the Hamilton-Eshelby stress (the non-inertial part of the energy-momentum tensor) in dissipative setting is also discussed by means of the concept of relative power.

scholarly journals The stability of a near-adiabatic Endex batch CSTR reactor

2001 ◽  
Vol 43 (1) ◽  
pp. 59-75 ◽  
Author(s):  
A. C. Mcintosh ◽  
B. F. Gray ◽  
G. C. Wake ◽  
R. Ball
Keyword(s):  
Stable Solution ◽  
Thermal Stabilization ◽  
Developed Countries ◽  
Thermal Runaway ◽  
Design Stage ◽  
Batch Reactors ◽  
Adiabatic Conditions ◽  
Significant Area ◽  
Continuously Stirred Tank Reactor ◽  
The Developed Countries

AbstractMany tens of serious incidents involving reactors occur in the developed countries each year. The disaster at the chemical plant in Bhopal, India in 1984 was particularly notable where a thermal runaway process led to more than 3000 tragic fatalities from the cloud of extremely toxic methyl isocyanate that boiled out of a storage tank. This signalled the design of special types of chemical reactors to reduce the risk of thermal runaway by planning (at the design stage) integral safety and thermal stabilization mechanisms. The Endex CSTR (continuously stirred tank reactor) proposed by Gray and Ball [3] involves a reactor in two parts with heat exchange allowed between them. The two parts of the reactor operate side by side in tandem, such that the thermal runaway of one part is offset by an endothermic reaction in the other reactor—hence the term ‘endex’.It is found that the adiabatic endex system has a large region of parameter space where the operation can be made safe. However adiabatic conditions rely on the continuous supply of reactants to the endothermic side of the reactor, for operation of the system. The risks involved are such that it is always safer to operate batch reactors in a non-adiabatic mode. Thus we consider the limiting case of the approach to adiabatic conditions where although the mathematics produces no oscillatory causes for instability, yet there is a narrow but significant area where the stable solution branch is lost and consequently a persistent and unexpected region of instability in what otherwise appears to be a simple CSTR system.

scholarly journals Validation of quantum adiabaticity through non-inertial frames and its trapped-ion realization

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Chang-Kang Hu ◽  
Jin-Ming Cui ◽  
Alan C. Santos ◽  
Yun-Feng Huang ◽  
Chuan-Feng Li ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Adiabatic Approximation ◽  
Inertial Frame ◽  
Quantum Systems ◽  
Resonance Phenomenon ◽  
Quantum Evolution ◽  
Adiabatic Condition ◽  
Quantum Bit ◽  
Adiabatic Conditions ◽  
Inertial Frames

AbstractValidity conditions for the adiabatic approximation are useful tools to understand and predict the quantum dynamics. Remarkably, the resonance phenomenon in oscillating quantum systems has challenged the adiabatic theorem. In this scenario, inconsistencies in the application of quantitative adiabatic conditions have led to a sequence of new approaches for adiabaticity. Here, by adopting a different strategy, we introduce a validation mechanism for the adiabatic approximation by driving the quantum system to a non-inertial reference frame. More specifically, we begin by considering several relevant adiabatic approximation conditions previously derived and show that all of them fail by introducing a suitable oscillating Hamiltonian for a single quantum bit (qubit). Then, by evaluating the adiabatic condition in a rotated non-inertial frame, we show that all of these conditions, including the standard adiabatic condition, can correctly describe the adiabatic dynamics in the original frame, either far from resonance or at a resonant point. Moreover, we prove that this validation mechanism can be extended for general multi-particle quantum systems, establishing the conditions for the equivalence of the adiabatic behavior as described in inertial or non-inertial frames. In order to experimentally investigate our method, we consider a hyperfine qubit through a single trapped Ytterbium ion 171Yb+, where the ion hyperfine energy levels are used as degrees of freedom of a two-level system. By monitoring the quantum evolution, we explicitly show the consistency of the adiabatic conditions in the non-inertial frame.

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