Effective inertia spring tensor model for acoustic materials with coupled local resonances

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Kenny L. S. Yip ◽  
Sajeev John
Keyword(s):  
2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Bei Kang ◽  
Lu-Yao Wang ◽  
Ke Wu ◽  
Jie Yang ◽  
Wei-Zhong Zhao

Abstract We analyze the rainbow tensor model and present the Virasoro constraints, where the constraint operators obey the Witt algebra and null 3-algebra. We generalize the method of W-representation in matrix model to the rainbow tensor model, where the operators preserving and increasing the grading play a crucial role. It is shown that the rainbow tensor model can be realized by acting on elementary function with exponent of the operator increasing the grading. We derive the compact expression of correlators and apply it to several models, i.e., the red tensor model, Aristotelian tensor model and r = 4 rainbow tensor model. Furthermore, we discuss the case of the non-Gaussian red tensor model and present a dual expression for partition function through differentiation.


2017 ◽  
Vol 34 (14) ◽  
pp. 145009 ◽  
Author(s):  
Gaurav Narain ◽  
Naoki Sasakura
Keyword(s):  

2006 ◽  
Vol 24 (9) ◽  
pp. 1263-1270 ◽  
Author(s):  
Sharon Peled ◽  
Ola Friman ◽  
Ferenc Jolesz ◽  
Carl-Fredrik Westin

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 76140-76152 ◽  
Author(s):  
Yang Sun ◽  
Jungang Yang ◽  
Yunli Long ◽  
Zheran Shang ◽  
Wei An

2018 ◽  
Vol 107 ◽  
pp. 137-148 ◽  
Author(s):  
Andrey V. Melnik ◽  
Xiaoyu Luo ◽  
Ray W. Ogden

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 62120-62127 ◽  
Author(s):  
Lizhen Deng ◽  
Hu Zhu ◽  
Yujie Li ◽  
Zhen Yang

2007 ◽  
Author(s):  
J. M. Ball ◽  
A. Majumdar ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  

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