scholarly journals Controlling anisotropy in 2D microscopic models of growth

2022 ◽  
pp. 110936
Author(s):  
Luca Gagliardi ◽  
Olivier Pierre-Louis
Keyword(s):  
Author(s):  
Antony N. Beris ◽  
Brian J. Edwards

This much-needed monograph presents a systematic, step-by-step approach to the continuum modeling of flow phenomena exhibited within materials endowed with a complex internal microstructure, such as polymers and liquid crystals. By combining the principles of Hamiltonian mechanics with those of irreversible thermodynamics, Antony N. Beris and Brian J. Edwards, renowned authorities on the subject, expertly describe the complex interplay between conservative and dissipative processes. Throughout the book, the authors emphasize the evaluation of the free energy--largely based on ideas from statistical mechanics--and how to fit the values of the phenomenological parameters against those of microscopic models. With Thermodynamics of Flowing Systems in hand, mathematicians, engineers, and physicists involved with the theoretical study of flow behavior in structurally complex media now have a superb, self-contained theoretical framework on which to base their modeling efforts.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hyun Min Lee

Abstract Motivated by the recent excess in the electron recoil from XENON1T experiment, we consider the possibility of exothermic dark matter, which is composed of two states with mass splitting. The heavier state down-scatters off the electron into the lighter state, making an appropriate recoil energy required for the Xenon excess even for the standard Maxwellian velocity distribution of dark matter. Accordingly, we determine the mass difference between two component states of dark matter to the peak electron recoil energy at about 2.5 keV up to the detector resolution, accounting for the recoil events over ER = 2 − 3 keV, which are most significant. We include the effects of the phase-space enhancement and the atomic excitation factor to calculate the required scattering cross section for the Xenon excess. We discuss the implications of dark matter interactions in the effective theory for exothermic dark matter and a massive Z′ mediator and provide microscopic models realizing the required dark matter and electron couplings to Z′.


1999 ◽  
Vol 121-122 ◽  
pp. 376-381 ◽  
Author(s):  
Eric Brunet ◽  
Bernard Derrida

2005 ◽  
Vol 72 (5) ◽  
Author(s):  
L. Hartmann ◽  
J. Calsamiglia ◽  
W. Dür ◽  
H.-J. Briegel
Keyword(s):  

2005 ◽  
Vol 72 (2) ◽  
Author(s):  
A. V. Dodonov ◽  
S. S. Mizrahi ◽  
V. V. Dodonov

2006 ◽  
Vol 20 (25n27) ◽  
pp. 4123-4128 ◽  
Author(s):  
X. YAO ◽  
H. WANG

Modeling the semisolid structure formation is of significance in both understanding the mechanisms of the formation of such structure and optimization of the solidification conditions for the required structure. A modified cellular automaton (mCA) model has been developed, which is coupled with macroscopic models for heat transfer calculation and microscopic models for nucleation and grain growth. The mCA model is applied to Al - Si alloys, one of the most widely used semisolid alloys. It predicts microstructure morphology and grain size during semi-solid solidification, and determines the effects of poring temperature and mould temperature on the final microstructure. The simulated results are compared with those obtained experimentally. The resulting simulations give some insight into the mechanisms about the semisolid structure formation in Controlled Nucleation process.


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