The stabilizing role of higher-order strain gradients in non-linear thermoviscoplasticity

1991 ◽  
Vol 86 (1-4) ◽  
pp. 65-81 ◽  
Author(s):  
N. Charalambakis ◽  
A. Rigatos ◽  
E. C. Aifantis
Keyword(s):  
Higher Order ◽  
Strain Gradients ◽  
Non Linear

scholarly journals The effect of non-linear competitive interactions on quantifying niche and fitness differences

2021 ◽  
Author(s):  
Jurg Spaak ◽  
Remi Millet ◽  
Po-Ju Ke ◽  
Andrew D. Letten ◽  
Frederik De Laender
Keyword(s):  
Nonlinear Dynamics ◽  
Community Dynamics ◽  
Species Coexistence ◽  
Higher Order ◽  
Competitive Interactions ◽  
Alternative Methods ◽  
Standard Methods ◽  
Coexistence Theory ◽  
Non Linear

AbstractThe niche and fitness differences of modern coexistence theory separate mechanisms into stabilizing and equalizing components. Although this decomposition can help us predict and understand species coexistence, the extent to which mechanistic inference is sensitive to the method used to partition niche and fitness differences remains unclear. We apply two alternative methods to assess niche and fitness differences to four well known community models. We show that because standard methods based on linear approximations do not capture the full community dynamics, they can sometimes lead to incorrect predictions of coexistence and misleading interpretations of stabilizing and equalizing mechanisms. Conversely, a more recently developed method to decompose niche and fitness differences, that accounts for the full nonlinear dynamics of competition, consistently identifies the correct contribution of stabilizing and equalizing components. This approach further reveals that when the true complexity of the system is taken into account, essentially all mechanisms comprise both stabilizing and equalizing components. Amidst growing interest in the role of non-additive and higher-order interactions in regulating species coexistence, we propose that the effective decomposition of niche and fitness differences will become increasingly reliant on methods that account for the inherent non-linearity of community dynamics.

scholarly journals Sensitivity of wavepackets in jets to non-linear effects: the role of the critical layer

2015 ◽  
Author(s):  
Gilles Tissot ◽  
Mengqi Zhang ◽  
Francisco C. Lajús ◽  
André V. Cavalieri ◽  
Peter Jordan ◽  
...  
Keyword(s):  
Critical Layer ◽  
Non Linear ◽  
Linear Effects

scholarly journals A Unified Mathematical Formalism for First to Third Order Dielectric Response of Matter: Application to Surface-Specific Two-Colour Vibrational Optical Spectroscopy

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 153 ◽  
Author(s):  
Christophe Humbert ◽  
Thomas Noblet
Keyword(s):  
Dielectric Response ◽  
Structure And Properties ◽  
Linear Optics ◽  
Third Order ◽  
Mathematical Functions ◽  
Sum Frequency ◽  
Non Linear Optics ◽  
Non Linear ◽  
Light Excitation

To take advantage of the singular properties of matter, as well as to characterize it, we need to interact with it. The role of optical spectroscopies is to enable us to demonstrate the existence of physical objects by observing their response to light excitation. The ability of spectroscopy to reveal the structure and properties of matter then relies on mathematical functions called optical (or dielectric) response functions. Technically, these are tensor Green’s functions, and not scalar functions. The complexity of this tensor formalism sometimes leads to confusion within some articles and books. Here, we do clarify this formalism by introducing the physical foundations of linear and non-linear spectroscopies as simple and rigorous as possible. We dwell on both the mathematical and experimental aspects, examining extinction, infrared, Raman and sum-frequency generation spectroscopies. In this review, we thus give a personal presentation with the aim of offering the reader a coherent vision of linear and non-linear optics, and to remove the ambiguities that we have encountered in reference books and articles.

Relativistic two-component calculations of electronic g-tensor for oxo-molybdenum(V) and oxo-tungsten(V) complexes: The important role of higher-order spin-orbit contributions

2009 ◽  
Vol 356 (1-3) ◽  
pp. 229-235 ◽  
Author(s):  
Peter Hrobárik ◽  
Olga L. Malkina ◽  
Vladimir G. Malkin ◽  
Martin Kaupp
Keyword(s):  
Higher Order ◽  
Spin Orbit ◽  
Two Component

NON-LINEAR VIBRATION ABSORBERS USING HIGHER ORDER INTERNAL RESONANCES

2000 ◽  
Vol 234 (5) ◽  
pp. 799-817 ◽  
Author(s):  
P.FRANK PAI ◽  
BERND ROMMEL ◽  
MARK J. SCHULZ
Keyword(s):  
Higher Order ◽  
Vibration Absorbers ◽  
Linear Vibration ◽  
Internal Resonances ◽  
Non Linear

In search of lost space: The process of space planning through remembering and history

Organization ◽  
2015 ◽  
Vol 23 (1) ◽  
pp. 71-89 ◽  
Author(s):  
Fabio James Petani ◽  
Jeanne Mengis
Keyword(s):  
Production Of Space ◽  
Space Planning ◽  
The Past ◽  
Time Space ◽  
Non Linear ◽  
Over Time ◽  
Contested Narratives

This article explores the role of remembering and history in the process of planning new spaces. We trace how the organizational remembering of past spaces enters the conception (i.e. planning) of a large culture center. By drawing on Henri Lefebvre’s reflections on history, time and memory, we analyze the processual interconnections of his spatial triad, namely between the planned, practiced, and lived moments of the production of space. We find that over time space planning involves recurrent, changing, and contested narratives on ‘lost spaces’, remembering happy spaces of the past that articulate a desire to regain them. The notion of lost space adds to our understanding of how space planning involves, through organizational remembering, a sociomaterial and spatiotemporal work of relating together different spaces and times in non-linear narratives of repetition.

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