Sargsyan, V. V. Kanokov, Z. Adamian, G. G. Antonenko, N. V.
Published in
Physics of Particles and Nuclei

Quantum diffusion equations with time-dependent transport coefficients are derived from generalized non-Markovian Langevin equations. Generalized fluctuation-dissipation relations and analytical formulas for calculating friction and diffusion coefficients in nuclear processes are obtained. The asymptotics of the transport coefficients and of the co...

Cuneo, N. Eckmann, J.-P.
Published in
Communications in Mathematical Physics

We study a chain of four interacting rotors (rotators) connected at both ends to stochastic heat baths at different temperatures. We show that for non-degenerate interaction potentials the system relaxes, at a stretched exponential rate, to a non-equilibrium steady state (NESS). Rotors with high energy tend to decouple from their neighbors due to f...

Parrondo, J. M. R. Granger, L.
Published in
The European Physical Journal Special Topics

Although there is not a complete “proof” of the second law of thermodynamics based on microscopic dynamics, two properties of Hamiltonian systems have been used to prove the impossibility of work extraction from a single thermal reservoir: Liouville's theorem and the adiabatic invariance of the volume enclosed by an energy shell. In this paper we a...

Ouerdane, H. Apertet, Y. Goupil, C. Lecoeur, Ph.
Published in
The European Physical Journal Special Topics

Classical equilibrium thermodynamics is a theory of principles, which was built from empirical knowledge and debates on the nature and the use of heat as a means to produce motive power. By the beginning of the 20th century, the principles of thermodynamics were summarized into the so-called four laws, which were, as it turns out, definitive negati...

Silevitch, D.M. Rosenbaum, T.F. Aeppli, G.
Published in
The European Physical Journal Special Topics

Traditional simulated annealing uses thermal fluctuations for convergence in optimization problems. Quantum tunneling provides a different mechanism for moving between states, with the potential for reduced time scales and different outcomes. Thermal and quantum annealing are compared in two concentration regimes of a model disordered magnet, where...

Cuneo, N. Eckmann, J. -P.
Published in
Communications in Mathematical Physics

We consider networks of massive particles connected by non-linear springs. Some particles interact with heat baths at different temperatures, which are modeled as stochastic driving forces. The structure of the network is arbitrary, but the motion of each particle is 1D. For polynomial interactions, we give sufficient conditions for Hörmander’s “br...

Huang, X. L. Liu, Yang Wang, Zhen Niu, X. Y.
Published in
The European Physical Journal Plus

We study a special quantum Otto heat engine, in which the external magnetic field B and the coupling constant J are changed by the same ratios in the quantum adiabatic processes, with a composed quantum system as working substance. We find that the positive work condition and efficiency for the composed system are the same as in the case where a si...

Aseev, P. P. Artemenko, S. N.
Published in
JETP Letters

We study theoretically helical edge states of 2D and 3D topological insulators (TI) tunnel-coupled to metal leads and show that their transport properties are strongly affected by contacts as the latter play a role of a heat bath and induce damping and relaxation of electrons in the helical states of TI. A simple structure that produces a pure spin...

Schroer, Bert
Published in
The European Physical Journal H

We demonstrate the extraordinary modernity of the 1924/25 “Einstein-Jordan fluctuation conundrum”, a Gedankenexperiment which led Jordan to his quantization of waves published as a separate section in the famous Born-Heisenberg-Jordan 1926 “Dreimännerarbeit”. The thermal nature of energy fluctuations caused by the restriction of the QFT vacuum to a...

Novoselov, A. A. Pavlovsky, O. V. Ulybyshev, M. V.
Published in
Physics of Atomic Nuclei

The Monte-Carlo technique for the calculations of functional integral in two one-dimensional quantum-mechanical problems had been applied. The energies of the bound states in some potential wells were obtained using this method. Also some peculiarities in the calculation of the kinetic energy in the ground state had been studied.