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We study the transport of energy in a finite linear harmonic chain by solving the Heisenberg equation of motion, as well as by using nonequilibrium Green's functions to verify our results. The initial state of the system consists of two…

Statistical Mechanics · Physics 2012-10-02 Eduardo C. Cuansing , Huanan Li , Jian-Sheng Wang

We demonstrate a direct approach to investigate heat transport in the fractional quantum Hall regime. At filling factor of 4/3, we inject power at quantum point contacts and detect the related heating from the activated current through a…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 C. Altimiras , H. le Sueur , U. Gennser , A. Anthore , A. Cavanna , D. Mailly , F. Pierre

We study the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density…

Statistical Mechanics · Physics 2017-04-26 Mario J. de Oliveira

We consider a chain of anharmonic oscillators immersed in a heat bath with a temperature gradient and a time varying tension applied to one end of the chain while the other side is fixed to a point. We prove that under diffusive space-time…

Probability · Mathematics 2016-05-16 Viviana Letizia , Stefano Olla

We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By breaking the solidification process into the relevant time…

Mesoscale and Nanoscale Physics · Physics 2019-05-17 Marc Calvo-Schwarzwälder , Timothy G. Myers , Matthew G. Hennessy

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with a free end and an arbitrary heat source. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact) and…

Statistical Mechanics · Physics 2025-10-21 Sergei D. Liazhkov

We study time-dependent heat transport in systems composed of a resonant level periodically forced with an external power source and coupled to a fermionic continuum. This simple model contains the basic ingredients to understand time…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Maria Florencia Ludovico , Jong Soo Lim , Michael Moskalets , Liliana Arrachea , David Sanchez

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

We observe the continuous emission of photons into a waveguide from a superconducting qubit without the application of an external drive. To explain this observation, we build a two-bath model where the qubit couples simultaneously to a…

Vibrational heat transport in molecular junctions is a central issue in different contemporary research areas like Chemistry, material science, mechanical engineering, thermoelectrics and power generation. Our model system consists of a…

Statistical Mechanics · Physics 2025-07-04 Jayasmita Behera , Malay Bandyopadhyay

We discuss heat transport in thermally-biased long Josephson tunnel junctions in the presence of an in-plane magnetic field. In full analogy with the Josephson critical current, the phase-dependent component of the heat current through the…

Superconductivity · Physics 2016-09-06 Claudio Guarcello , Francesco Giazotto , Paolo Solinas

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

Statistical Mechanics · Physics 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

Heat transfer in liquids is a very challenging problem as it combines the competing effect of high frequency oscillations, which dominate liquid heat capacity, and diffusive motion, which enables transport macroscopic flow. This issue is…

Materials Science · Physics 2025-05-20 Cillian Cockrell , Aleksandra Dragović

We consider the electron transport properties through fully interacting nanoscale junctions beyond the linear-response regime. We calculate the current flowing through an interacting region connected to two interacting leads, with…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 H. Ness , L. K. Dash

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

The thermoelectric transport through a molecular bridge is discussed, with an emphasis on the effects of inelastic processes of the transport electrons caused by the coupling to the vibrational modes of the molecule. In particular it is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 O. Entin-Wohlman , Y. Imry , A. Aharony

We use a Generalised Langevin Equation (GLE) scheme to study the thermal transport of low dimensional systems. In this approach, the central classical region is connected to two realistic thermal baths kept at two different temperatures [H.…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

We numerically demonstrate heat rectification for linear chains of ions in trap lattices with graded trapping frequencies, in contact with thermal baths implemented by optical molasses. To calculate the local temperatures and heat currents…

Quantum Physics · Physics 2019-09-11 M. A. Simón , S. Martínez-Garaot , M. Pons , J. G. Muga

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

Statistical Mechanics · Physics 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi