Theoretical models for superionic conductors

Dieterich, W.; Fulde, Peter; Peschel, Ingo

doi:10.1080/00018738000101406

Cited by 314 publications

(101 citation statements)

References 146 publications

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“…This interest lies in the extensive range of important physical applications that include Josephson junctions [13,14], superionic conductors [15], adsorbates on crystal surfaces [16], colloidal spheres [17] and polymers diffusing at interfaces [18] among many others [19]. A constant external force produces a so-called 'tilted potential' or 'tilted washboard potential', and the further addition of a periodic force gives rise to the 'rocked tilted potential'.…”

Section: Introductionmentioning

confidence: 99%

Transport and diffusion on crystalline surfaces under external forces

et al. 2005

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Section: Introductionmentioning

confidence: 99%

Transport and diffusion on crystalline surfaces under external forces

et al. 2005

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“…This point will not discussed here, instead we refer to refs. [282,283]. Finally we like to mention that there are some resemblances between the CA models of vehicular traffic and the CA models of driven diffusive Frenkel-Kontorova-type systems [284].…”

Section: Practical Applications Of the Models Of Vehicular Traffic; Omentioning

confidence: 99%

Statistical physics of vehicular traffic and some related systems

2000

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In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the way the vehicles influence each others' movement. Therefore, vehicular traffic, modeled as a system of interacting "particles" driven far from equilibrium, offers the possibility to study various fundamental aspects of truly nonequilibrium systems which are of current interest in statistical physics. Analytical as well as numerical techniques of statistical physics are being used to study these models to understand rich variety of physical phenomena exhibited by vehicular traffic. Some of these phenomena, observed in vehicular traffic under different circumstances, include transitions from one dynamical phase to another, criticality and self-organized criticality, metastability and hysteresis, phase-segregation, etc. In this critical review, written from the perspective of statistical physics, we explain the guiding principles behind all the main theoretical approaches. But we present detailed discussions on the results obtained mainly from the so-called "particle-hopping" models, particularly emphasizing those which have been formulated in recent years using the language of cellular automata.

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“…1-7͒. The problem of the Brownian motion of a particle in a tilted periodic potential also arises in a number of other physical applications: quantum noise in the ring-laser gyroscope, 8,9 mobility of superionic conductors, 10 laser with injected signal, 11 theory of phase-locking techniques in radio engineering, 12 etc. A related problem is the longitudinal dielectric relaxation of an assembly of single axis rotators in a cos N potential.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear impedance of a microwave-driven Josephson junction with noise

2000

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The nonlinear impedance of a point Josephson junction is calculated under various conditions for the resistively shunted junction model in the presence of noise. The calculation proceeds by solving the Langevin equation for the mechanical problem of a Brownian particle in a tilted cosine potential in the presence of a strong ac force ignoring inertial effects. The exact solution of the infinite hierarchy of equations for the moments ͑expectation values of the Fourier components of the phase angle͒, which describe the dynamics of the junction, is expressed in terms of a matrix continued fraction. This solution allows one to evaluate the nonlinear response of the junction ͑nonlinear microwave impedance, for example͒ to an ac microwave current of arbitrary amplitude. Strong nonlinear effects in the resistance and the reactance are observed for large ac currents as is demonstrated by plotting the nonlinear response characteristics as a function of the model parameters. For weak ac currents and low noise strengths, our results agree closely with previously available linear response and nonlinear response noiseless solutions, respectively. Applications of the model to the interpretation of recent experimental data found in the literature for the nonlinear behavior of microwave impedance of superconducting weak links are discussed.

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Theoretical models for superionic conductors

Cited by 314 publications

References 146 publications

Transport and diffusion on crystalline surfaces under external forces

Transport and diffusion on crystalline surfaces under external forces

Statistical physics of vehicular traffic and some related systems

Nonlinear impedance of a microwave-driven Josephson junction with noise

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