Transformation thermotics and the manipulation of thermal energy

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1 Opto-Electronic Engineering Review O551 A Transformationthermoticsandthemanipulation ofthermalenergy 1 Center for Phononics and Thermal Energy, School of Physics Science and Engineering, Tongji University, Shanghai 0009, China; China-EU Joint Lab for Nanophononics, School of Physics Science and Engineering, Tongji University, Shanghai 0009, China Abstract: Thermal energy has been proposed to have ever greater potential for human beings if the heat carriers, i.e. phonons can be controlled in micron scale as easy as its counterpart, electrons in solid. Alternatively, in macroscopical scale, functional thermal materials are used to control thermal energy. The transformation of macroscopical thermal diffusion equation is proposed to obtain the asymmetrical thermal conductivity in real space. This new type of thermal functional materials helps to control heat flow and to realize thermal cloak and thermal camouflage. Keywords: manipulation of thermal energy; transformation-thermotics; thermal cloak; thermal camouflage DOI: /j.issn X Citation: Opto-ElecEng, 017, 44(1): * xuxiangfan@tongji.edu.cn / 64

2 DOI: /j.issn X / [1-] Leonhardt [3] Pendry [4] 006 Leonhardt Pendry ( 1(a1) 1(a)) ( 1(c1) 1(c)) 1(b1) 1(b) Schittny [5] 1(b1) ( 1(b)) 1(b) r<r 1 R 1 <r<r R 1 <r<r R 0 0 R R1, (1) R r R1 r 0 0, () R R1 r 0 r R 1 R () 3 S. Narayana COMSOL [6] S. Narayana (a1) (a) (b1) y v x u (c1) (c) (b) R R 1 R 1 R 1 (a1) [4]. (a) [4]. (b) Schittny (b1) R 1 <r<r [5]. (c1)(c) [4]. 65

3 R. Schittny ( (a)~(c)) [5] ( ) r<r R 1 <r<r ( 1(b)) (d) (e) 60 s 10 s t=10 s ( 1(b) r<r 1 ) (a) (b) (c) 1 cm (a)(c) S. Narayana. (d)(f) 60 s10 s (d) t=60 s (e) t=10 s () [5]. (f) Steady state Temperature/ [7] [8] 014 Physical Review Letters Physics [9] S. Narayana [6] R. Schittny [5] S. Narayana R. Schittny ( 3(a) 3(b))( 3(c)) 4 [10] 4 4(a1) 4(a) ( 4(a) ) 4(b1)~4(b3) 4(c) 4(b)( ) 4(c3) 4(d) (a) (c) Punch 3 b 1 a c Cloaking region b Molding rod Copper disk Stainless steel (b) y z x IR-camera 1 cm Unit: mm Low temperature Polystyrene Alloy Cloaked object(ai) Sealant High temperature 3 (a)(b) [7]. (c) [8]. 66

4 DOI: /j.issn X (a1) Thermal conduction Thermal signature (a) a (b1) (c1) (d1) Thermal cloak Thermal camouflage Thermal conduction (b) (c) (d) Copper PDMS 1. mm 1.6 mm 1.6 mm c b a d (b3) t=0 min t=0 min t=0 min (c3) (d3) 33 K 93 K 4 (a1)(a). (b1)(b3). (c1) (c3), (d1)(d3) [10]. 4(b) a<r<b b<r<c 3 b (a<r<b) ( 0)(b<r<c) 3 = b (c +b )/(c b ) PDMS =0.15 Wm -1 K -1 3 =394 Wm -1 K -1 b ()( 4(c)) 4(d) 0 min 5 [11-13] [11-13] [14] [15] 01 Review of Modern Physics [16] / [17] [6] [6, 18] [19] 1) (f)/ / [5] 67

5 ) M. Moccia Y. Ma [0-1] 3) 015 ( ) [] 4) PDMS 1) () ) () ( ) 1 Shen Xiangying, Huang Jiping. Research progress in thermal metamaterials[j]. Physics, 013, 4(3): ,. [J]., 013, 4(3): Xu Xiangfan, Zhou Jun, Yang Nuo, et al. Artificial microstructure materials and heat flux manipulation[j]. Scientia Sinica Technologica, 015, 45(7): ,,,. [J]. :, 015, 45(7): Leonhardt U. Optical conformal mapping[j]. Science, 006, 31(5781): Pendry J B, Schurig D, Smith D R. Controlling electromagnetic fields[j]. Science, 006, 31(5781): Schittny R, Kadic M, Guenneau S, et al. Experiments on transformation thermodynamics: molding the flow of heat[j]. Physical Review Letters, 013, 110(19): Narayana S, Sato Y. Heat flux manipulation with engineered thermal materials[j]. Physical Review Letters, 01, 108(1): Han Tiangcheng, Bai Xue, Gao Dongliang, et al. Experimental demonstration of a bilayer thermal cloak[j]. Physical Review Letters, 014, 11(5): Xu Hongyi, Shi Xihang, Gao Fei, et al. Ultrathin three-dimensional thermal cloak[j]. Physical Review Letters, 014, 11(5): Alù A. Thermal cloaks get hot[j]. Physics, 014, 7: Han Tiancheng, Bai Xue, Thong J T L, et al. Full control and manipulation of heat signatures: cloaking, camouflage and thermal metamaterials[j]. Advanced Materials, 014, 6(11): Li Baowen, Lan Jinghua, Wang Lei. Interface thermal resistance between dissimilar anharmonic lattices[j]. Physical Review Letters, 005, 95(10): Li Baowen, Wang Lei, Casati G. Thermal diode: rectification of heat flux[j]. Physical Review Letters, 004, 93(18): Terraneo M, Peyrard M, Casati G. Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier[j]. Physical Review Letters, 00, 88(9): Wang Lei, Li Baowen. Thermal logic gates: computation with phonons[j]. Physical Review Letters, 007, 99(17): Wang Lei, Li Baowen. Thermal memory: a storage of phononic information[j]. Physical Review Letters, 008, 101(6): Li Nianbei, Ren Jie, Wang Lei, et al. Colloquium: phononics: manipulating heat flow with electronic analogs and beyond[j]. Reviews of Modern Physics, 01, 84(3): Han Tiancheng, Yuan Tao, Li Baowen, et al. Homogeneous thermal cloak with constant conductivity and tunable heat localization[j]. Scientific Reports, 013, 3: Han Tiancheng, Zhao Jiajun, Yuan Tao, et al. Theoretical realization of an ultra-efficient thermal-energy harvesting cell made of natural materials[j]. Energy & Environmental Science, 013, 6(1): Kadic M, Bückmann T, Schittny R, et al. Metamaterials beyond electromagnetism[j]. Reports on Progress in Physics, 013, 76(1): Moccia M, Castaldi G, Savo S, et al. Independent manipulation of heat and electrical current via bifunctional metamaterials[j]. Physical Review X, 014, 4(): Ma Yungui, Liu Yichao, Raza M, et al. Experimental demonstration of a multiphysics cloak: manipulating heat flux and electric current simultaneously[j]. Physical Review Letters, 014, 113(0): Li Ying, Shen Xiangying, Wu Zuhui, et al. Temperature-dependent transformation thermotics: from switchable thermal cloaks to macroscopic thermal diodes[j]. Physical Review Letters, 015, 115(19):

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