Erratum: Unified model for the study of diffusion localization and dissipation [Phys. Rev. E<b>55</b>, 1422 (1997)]

Cohen, Doron

doi:10.1103/physreve.63.029901

Cited by 8 publications

(12 citation statements)

References 3 publications

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“…For the bcc Fe, Sha and Cohen considered that the behavior might be partly due to the pressure dependence of the magnetic moment . For the bcc Ta, Cohen and Gülseren thought that the behavior may be due to the fit through the electronic topological transition and thus due to the inflexibility in the Vinet equation of state . The latest investigation on the bcc Ta by Liu et al showed results similar to the present work .…”

Section: Resultssupporting

confidence: 84%

“…Many previous calculations for some other metals (Ta, , Fe, , Pt, and Au) also showed the relative larger thermal pressure and indicated the thermal pressure increases with the increasing temperature. The thermal pressures for the bcc Fe (linear response lattice dynamics) and the bcc Ta (particle-in-cell model) first decrease with decreasing volume and then present a minimum at a certain compression. For the bcc Fe, Sha and Cohen considered that the behavior might be partly due to the pressure dependence of the magnetic moment .…”

Section: Resultsmentioning

confidence: 84%

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Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations

Zhao-Yi

Cai

et al. 2009

J. Phys. Chem. B

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We calculated the phase transition, elastic constants, full phonon dispersion curves, and thermal properties of molybdenum (Mo) for a wide range of pressures using density functional theory. Mo is stable in the body-centered-cubic (bcc) structure up to 703 +/- 19 GPa and then transforms to the face-centered close-packed (fcc) structure at zero temperature. Under high temperature and pressure, the fcc phase of Mo is more stable than the bcc phase. The calculated phonon dispersion curves accord excellently with experiments. Under pressure, we captured a large softening along H-P in the TA branches. When the volume is compressed to 7.69 A(3), the frequencies along H-P in the TA branches soften to imaginary frequencies, indicating a structural instability. When the pressure increases, the phonon calculations on the fcc Mo predict the stability by promoting the frequencies along Gamma to X and Gamma to L symmetry lines from imaginary to real. The thermal equation of state was also investigated. From the thermal expansion coefficient and the heat capacity, we found that the quasiharmonic approximation was valid only up to about melting point at zero pressure. However, under pressure, the validity can be extended to a much higher temperature.

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Section: Resultssupporting

confidence: 84%

Section: Resultsmentioning

confidence: 84%

Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations

Zhao-Yi

Cai

et al. 2009

J. Phys. Chem. B

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“…Similar models have been discussed by Weiss [2], Guinea [8,19], and Cohen [20]. The evolution of the density matrix can be described again by an influence functional…”

Section: Particle In a Quantum Fieldmentioning

confidence: 63%

“…The function F (t) arises as the imaginary part of the action S I (18) evaluated on the saddle-point paths x 1,2 . It is, thus, affected by S R through the damping of these paths, which leads to the factors 1 − exp[−γt 1,2 ] in (20). The role of S R has been discussed recently also in Refs [13,14].…”

Section: B Relaxation Of a Non-equilibrium Statementioning

confidence: 99%

Low-Temperature Dephasing and Renormalization in Model Systems

Golubev

Schön

Zaikin³

2003

J. Phys. Soc. Jpn.

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We investigate low-temperature dephasing in several model systems, where a quantum degree of freedom is coupled to a bath. Dephasing, defined as the decay of the coherence of inital nonequilibrium states, also influences the dynamics of equilibrium correlation and response functions, as well as static interference effects. In particular in the latter case dephasing should be distinguished from renormalization effects. For illustration, and because of its relevance for quantum state engineering in dissipative environments, we first reconsider dephasing in spin-boson models. Next we review Caldeira-Leggett models, with applications, e.g., to persistent currents in mesoscopic rings. Then, we analyze the more general problem of a particle which interacts with a quantum field V (t, r(t)), the fluctuations of which are characterized by a dielectric function ǫ(ω, k). Finally, we compare this model, both the formulation as well as the results, to the problem of interacting electrons in a diffusive conductor.

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“…There have been some attempts examing quantum dissipation 1 . The most popular approaches are heat-bath approach (with infinite number of phonon modes) 2,3 , random matrix bath approach 4 , linear response theory 5,6 , and Landauer formula 7,8,9 , and so on. In the orthodox approaches, stochastization mechanisms and heat reservoir consisting of infinite number of degrees of freedom are explicitly or implicitly assumed in advance 10,11,2 .…”

Section: Introductionmentioning

confidence: 99%

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

Yamada

2003

Fundamental Aspects of Quantum Physics

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Energy relaxation dynamics in a simple quantum model of electron-phonon system is numerically investigated. We show delocalization in one-dimensional disordered electronic system with coherent harmonic perturbations. The appearance of the delocalization implies that the system has potential for irreversibility and dissipation. Next, we investigate dissipative property of the dynamically delocalized state and show that an irreversible quasistationary energy flow indeed appears in the form of a "heat" flow when we couple the perturbed system with an autonomous mode.

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Erratum: Unified model for the study of diffusion localization and dissipation [Phys. Rev. E55, 1422 (1997)]

Cited by 8 publications

References 3 publications

Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations

Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations

Low-Temperature Dephasing and Renormalization in Model Systems

Delocalization and Dissipative Property in 1d Disordered System With Oscillatory Perturbation

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