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Chen R, Craven GT. The effect of temperature oscillations on energy storage rectification in harmonic systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:405201. [PMID: 38988144 DOI: 10.1088/1361-648x/ad5d40] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2024] [Accepted: 06/28/2024] [Indexed: 07/12/2024]
Abstract
Rectification, the preferential transport of a current in one direction through a system, has garnered significant attention in molecules because of its importance for controlling thermal and electronic currents at the nanoscale. Here, we report the presence of energy storage rectification effects in a molecular chain. This phenomenon is generated by subjecting a harmonic molecular chain to an oscillating temperature gradient and showing that the energy absorption rate of the system depends on the direction of the gradient. We examine how the energy storage rectification ratios in the chain are affected by the oscillating gradient, asymmetry in the chain, and the system parameters. We find that energy storage rectification can be observed in harmonic lattice structures with time-dependent temperatures and that, correspondingly, anharmonicity is not required to generate this rectification mechanism in such systems.
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Affiliation(s)
- Renai Chen
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, United States of America
| | - Galen T Craven
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, United States of America
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Romero-Bastida M, Armando Martínez-Torres B. Thermal rectification in mass-asymmetric one-dimensional anharmonic oscillator lattices with and without a ballistic spacer. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 36:025302. [PMID: 37783211 DOI: 10.1088/1361-648x/acff32] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Accepted: 10/02/2023] [Indexed: 10/04/2023]
Abstract
In this work we perform a systematic analysis of various structural parameters that have influence on the thermal rectification effect, i.e. asymmetrical heat flow, and the negative differential thermal resistance -reduction of the heat flux as the applied thermal bias is increased- present in a one-dimensional, segmented mass-graded system consisting of a coupled nearest-neighbor harmonic oscillator lattice (ballistic spacer) and two diffusive leads (modeled by a substrate potential) attached to the lattice at both boundaries. At variance with previous works, we consider the size of the spacer as smaller than that of the leads. Also considered is the case where the leads are connected along the whole length of the oscillator lattice; that is, in the absence of the ballistic spacer. Upon variation of the system's parameters it was determined that the performance of the device, as quantified by the spectral properties, is largely enhanced in the absence of the ballistic spacer for the small system-size limit herein considered.
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Affiliation(s)
- M Romero-Bastida
- SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Av. Santa Ana No.1000, San Francisco Culhuacán, Culhuacán CTM V, Coyoacán, CDMX 04440, Mexico
| | - Brandon Armando Martínez-Torres
- SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Av. Santa Ana No.1000, San Francisco Culhuacán, Culhuacán CTM V, Coyoacán, CDMX 04440, Mexico
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Romero-Bastida M, Lindero-Hernández M. Thermal rectification in three-dimensional mass-graded anharmonic oscillator lattices. Phys Rev E 2021; 104:044135. [PMID: 34781583 DOI: 10.1103/physreve.104.044135] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2021] [Accepted: 10/12/2021] [Indexed: 11/07/2022]
Abstract
In this work we study the thermal rectification efficiency, i.e., asymmetric heat flow, of a three-dimensional mass-graded anharmonic lattice of length N and width W by means of nonequilibrium molecular dynamics simulations. The obtained rectification, which is of the same order of magnitude as that of the corresponding one-dimensional lattice, saturates at low values of the aspect ratio W/N, consistent with the already known behavior of the corresponding heat fluxes of the homogeneous system under analogous conditions. The maximum rectification is obtained in the temperature range wherein no rectification could be obtained in other one-dimensional systems, as well as in the corresponding one-dimensional instance of the model studied herein.
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Affiliation(s)
- M Romero-Bastida
- SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Avenida Santa Ana No. 1000, Colonia San Francisco Culhuacán, Delegación Coyoacan, Distrito Federal 04440, Mexico
| | - M Lindero-Hernández
- Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada-Querétaro, Instituto Politécnico Nacional, Cerro Blanco 141, Colinas del Cimatario, 76090 Santiago de Querétaro, Querétaro, Mexico
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Wang JX, Birbarah P, Docimo D, Yang T, Alleyne AG, Miljkovic N. Nanostructured jumping-droplet thermal rectifier. Phys Rev E 2021; 103:023110. [PMID: 33736084 DOI: 10.1103/physreve.103.023110] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2020] [Accepted: 02/04/2021] [Indexed: 11/07/2022]
Abstract
Analogous to an electrical rectifier, a thermal rectifier (TR) can ensure that heat flows in a preferential direction. In this paper, thermal transport nonlinearity is achieved through the development of a phase-change based TR comprising an enclosed vapor chamber having separated nanostructured copper oxide superhydrophobic and superhydrophilic functional surfaces. In the forward direction, heat transfer is facilitated through evaporation on the superhydrophilic surface and self-propelled jumping-droplet condensation on the superhydrophobic surface. In the reverse direction, heat transfer is minimized due to condensate film formation within the superhydrophilic condenser and inability to return the condensed liquid to the superhydrophobic evaporator. We examine the coupled effects of gap size, coolant mass, heat transfer rate, and applied electric field on the thermal performance of the TR. A maximum thermal diodicity, defined as the ratio of forward to reverse heat transfer, of 39 is achieved.
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Affiliation(s)
- Ji-Xiang Wang
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA
| | - Patrick Birbarah
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA
| | - Donald Docimo
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA.,Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas 79409, USA
| | - Tianyu Yang
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA
| | - Andrew G Alleyne
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA
| | - Nenad Miljkovic
- Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA.,Electrical and Computer Engineering, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA.,Materials Research Laboratory, University of Illinois at Urbana Champaign, Urbana, Illinois 61801, USA.,International Institute for Carbon Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Moto-oka, Nishi-ku, Fukuoka, 819-0395, Japan
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Shimamura K, Takeshita Y, Fukushima S, Koura A, Shimojo F. Computational and training requirements for interatomic potential based on artificial neural network for estimating low thermal conductivity of silver chalcogenides. J Chem Phys 2020; 153:234301. [PMID: 33353316 DOI: 10.1063/5.0027058] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Abstract
We examined the estimation of thermal conductivity through molecular dynamics simulations for a superionic conductor, α-Ag2Se, using the interatomic potential based on an artificial neural network (ANN potential). The training data were created using the existing empirical potential of Ag2Se to help find suitable computational and training requirements for the ANN potential, with the intent to apply them to first-principles calculations. The thermal conductivities calculated using different definitions of heat flux were compared, and the effect of explicit long-range Coulomb interaction on the conductivities was investigated. We clarified that using a rigorous heat flux formula for the ANN potential, even for highly ionic α-Ag2Se, the resulting thermal conductivity was reasonably consistent with the reference value without explicitly considering Coulomb interaction. It was found that ANN training including the virial term played an important role in reducing the dependency of thermal conductivity on the initial values of the weight parameters of the ANN.
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Affiliation(s)
- Kohei Shimamura
- Department of Physics, Kumamoto University, Kumamoto 860-8555, Japan
| | - Yusuke Takeshita
- Department of Physics, Kumamoto University, Kumamoto 860-8555, Japan
| | - Shogo Fukushima
- Department of Physics, Kumamoto University, Kumamoto 860-8555, Japan
| | - Akihide Koura
- Department of Physics, Kumamoto University, Kumamoto 860-8555, Japan
| | - Fuyuki Shimojo
- Department of Physics, Kumamoto University, Kumamoto 860-8555, Japan
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Takeuchi T. Very large thermal rectification in bulk composites consisting partly of icosahedral quasicrystals. SCIENCE AND TECHNOLOGY OF ADVANCED MATERIALS 2014; 15:064801. [PMID: 27877728 PMCID: PMC5090387 DOI: 10.1088/1468-6996/15/6/064801] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/24/2014] [Revised: 11/25/2014] [Accepted: 10/30/2014] [Indexed: 06/06/2023]
Abstract
The bulk thermal rectifiers usable at a high temperature above 300 K were developed by making full use of the unusual electron thermal conductivity of icosahedral quasicrystals. The unusual electron thermal conductivity was caused by a synergy effect of quasiperiodicity and by a narrow pseudogap at the Fermi level. The rectification ratio, defined by TRR = [Formula: see text], reached vary large values exceeding 2.0. This significant thermal rectification would lead to new practical applications for the heat management.
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Affiliation(s)
- Tsunehiro Takeuchi
- Toyota Technological Institute, Nagoya 468-8511, Japan
- EcoTopia Science Institute, Nagoya University, Nagoya 464-8603, Japan
- PRESTO, JST, Tokyo 102-0076, Japan
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Romero-Bastida M, González-Alarcón A. Size effects on thermal rectification in mass-graded anharmonic lattices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:052152. [PMID: 25493784 DOI: 10.1103/physreve.90.052152] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/19/2014] [Indexed: 06/04/2023]
Abstract
In this work we study the thermal rectification efficiency of a one-dimensional mass-graded anharmonic oscillator lattice at large system sizes. A modest increase in rectification is observed. When the magnitude of the mass gradient scales with the system size, the aforementioned effect increases substantially. This result can be unmistakeably attributed to an asymmetry in the local temperature profile obtained for the employed parameter values.
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Affiliation(s)
- M Romero-Bastida
- SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Avenida Santa Ana 1000, Colonia San Francisco Culhuacán, Delegación Coyoacan, Distrito Federal 04430, Mexico
| | - Armando González-Alarcón
- SEPI ESIME-Culhuacán, Instituto Politécnico Nacional, Avenida Santa Ana 1000, Colonia San Francisco Culhuacán, Delegación Coyoacan, Distrito Federal 04430, Mexico
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Segal D. Two-level system in spin baths: Non-adiabatic dynamics and heat transport. J Chem Phys 2014; 140:164110. [DOI: 10.1063/1.4871874] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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He D, Ai BQ, Chan HK, Hu B. Heat conduction in the nonlinear response regime: scaling, boundary jumps, and negative differential thermal resistance. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:041131. [PMID: 20481701 DOI: 10.1103/physreve.81.041131] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2009] [Indexed: 05/29/2023]
Abstract
We report a numerical study on heat conduction in one-dimensional homogeneous lattices in both the linear and the nonlinear response regime, with a comparison among three prototypical nonlinear lattice models. In the nonlinear response regime, negative differential thermal resistance (NDTR) can occur in both the Frenkel-Kontorova model and the phi4 model. In the Fermi-Pasta-Ulam- beta model, however, only positive differential thermal resistance can be observed, as shown by a monotonous power-law dependence of the heat flux on the applied temperature difference. In general, it was found that NDTR can occur if there is nonlinearity in the onsite potential of the lattice model. It was also found that the regime of NDTR becomes smaller as the system size increases, and eventually vanishes in the thermodynamic limit. For the phi4 model, a phenomenological description of the size-induced crossover from the existence to the nonexistence of a NDTR regime is provided.
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Affiliation(s)
- Dahai He
- Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong, China.
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Ai BQ, He D, Hu B. Heat conduction in driven Frenkel-Kontorova lattices: thermal pumping and resonance. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:031124. [PMID: 20365714 DOI: 10.1103/physreve.81.031124] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2009] [Revised: 03/07/2010] [Indexed: 05/29/2023]
Abstract
Heat conduction through the Frenkel-Kontorova chain under the influence of an ac driving force applied locally at one boundary is studied by nonequilibrium molecular dynamics simulations. We observe the occurrence of thermal resonance, namely, there exists a value of the driving frequency at which the heat flux takes its maximum value. The resonance frequency is determined by the dynamical parameters of the model, which has been numerically explored. Remarkably, the heat can be pumped from the low-temperature heat bath to the high temperature one by suitably adjusting the frequency of the ac driving force. By examining effects of the driving amplitude on heat conduction, we show that the amplitude threshold for nonlinear supratransmission is absent when the system is in contact with heat baths, namely, the heat flux smoothly increases with the increasing of amplitude.
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Affiliation(s)
- Bao-quan Ai
- Department of Physics, Centre for Nonlinear Studies, and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems Hong Kong, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China
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Shao ZG, Yang L, Chan HK, Hu B. Transition from the exhibition to the nonexhibition of negative differential thermal resistance in the two-segment Frenkel-Kontorova model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:061119. [PMID: 19658485 DOI: 10.1103/physreve.79.061119] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2009] [Revised: 02/26/2009] [Indexed: 05/28/2023]
Abstract
An extensive study of the one-dimensional two-segment Frenkel-Kontorova (FK) model reveals a transition from the counterintuitive existence to the ordinary nonexistence of a negative-differential-thermal-resistance (NDTR) regime, when the system size or the intersegment coupling constant increases to a critical value. A "phase" diagram which depicts the relevant conditions for the exhibition of NDTR was obtained. In the existence of a NDTR regime, the link at the segment interface is weak and therefore the corresponding exhibition of NDTR can be explained in terms of effective phonon-band shifts. In the case where such a regime does not exist, the theory of phonon-band mismatch is not applicable due to sufficiently strong coupling between the FK segments. The findings suggest that the behavior of a thermal transistor will depend critically on the properties of the interface and the system size.
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Affiliation(s)
- Zhi-Gang Shao
- Department of Physics, Centre for Nonlinear Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China
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Segal D. Nonlinear thermal control in an N-terminal junction. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008; 77:021103. [PMID: 18351983 DOI: 10.1103/physreve.77.021103] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/19/2007] [Indexed: 05/26/2023]
Abstract
We demonstrate control over heat flow in an N -terminal molecular junction. Using simple model Hamiltonians we show that the heat current through two terminals can be tuned by the temperature and coupling parameters of external gating reservoirs. We discuss two models: A fully harmonic system and a model incorporating anharmonic interactions. For both models the control reservoirs induce thermal fluctuations of the transition elements between molecular vibrational states. We find that a fully harmonic model does not show any controllability, while for an anharmonic system the conduction properties of the junction strongly depend on the parameters of the gates. Realizations of the model system within nanodevices and macromolecules are discussed.
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Affiliation(s)
- Dvira Segal
- Chemical Physics Theory Group, Department of Chemistry, University of Toronto. Toronto, ON, Canada
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Casati G, Mejía-Monasterio C, Prosen T. Magnetically induced thermal rectification. PHYSICAL REVIEW LETTERS 2007; 98:104302. [PMID: 17358540 DOI: 10.1103/physrevlett.98.104302] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/07/2006] [Indexed: 05/14/2023]
Abstract
We consider far from equilibrium heat transport in chaotic billiard chains with noninteracting charged particles in the presence of nonuniform transverse magnetic field. If half of the chain is placed in a strong magnetic field, or if the strength of the magnetic field has a large gradient along the chain, heat current is shown to be asymmetric with respect to exchange of the temperatures of the heat baths. Thermal rectification factor can be arbitrarily large for sufficiently small temperature of one of the baths.
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Affiliation(s)
- Giulio Casati
- Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, Como, Italy
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