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Physical Review E

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  1. Crenelated fast oscillatory outputs of a two-delay electro-optic oscillator.

    Physical Review E 85(2-2):026206 (2012) PMID 23003847

    We investigate both experimentally and theoretically. Of particular physical interest are the transitions to various crenelated fast time-periodic oscillations, prior to the onset of chaotic regimes. The two-delay problem is described mathematically by two coupled delay-differential equations, which...
  2. Distinguishing dynamics using recurrence-time statistics.

    Physical Review E 85(2-2):026217 (2012) PMID 23003857

    The probability densities of the mean recurrence time, which is the average time needed for a system to recur to a previously visited neighborhood, are investigated in various dynamical regimes and are found to be in agreement with those of the finite-time Lyapunov exponents. The imp...
  3. Stochastic tipping points in climate dynamics.

    Physical Review E 85(2-2):027101 (2012) PMID 23003906

    A crucial question recently raised in climate dynamics concerns abrupt climate transitions: Are they due to a tipping point (TP) being exceeded, or is fast noisy dynamics the cause of their excitation? In this respect, a case study based on a low-order ocean model is developed to sho...
  4. Diffusional screening in treelike spaces: An exactly solvable diffusion-reaction model.

    Physical Review E 85(1-1):011115 (2012) PMID 23003370

    We provide analytic conditions for the emergence of a plateau in the current-a region of maximum insensitivity of the current to variations in either the reaction rate (membrane permeability) or the diffusivity. The occurrence of such a plateau is associated with a partial screening regime wherein m...
  5. Nonequilibrium density-matrix description of steady-state quantum transport.

    Physical Review E 85(1-1):011126 (2012) PMID 23003381

    We investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the explicit result for the reduced density matrix of quantum transport when the...
  6. Power-law behavior in a cascade process with stopping events: A solvable model.

    Physical Review E 85(1-1):011145 (2012) PMID 23003400

    The present paper proposes a stochastic model to be solved analytically, and a power-law-like distribution is derived. This model is formulated based on a cascade fracture with the additional effect that each fragment at each stage of a cascade ceases fracture with a certain probabil...
  7. Corticothalamic dynamics: Structure of parameter space, spectra, instabilities, and reduced model.

    Physical Review E 85(1-1):011910 (2012) PMID 23003444

    Linear instabilities are analyzed in a physiologically based mean-field corticothalamic model and a reduced-parameter model derived from it. In both models, the stable zone corresponding to normal arousal states is bounded by a series of surfaces demarcating the onsets of instabiliti...
  8. Statistical physics approach to dendritic computation: The excitable-wave mean-field approximation.

    Physical Review E 85(1-1):011911 (2012) PMID 23003445

    We analytically study the input-output properties of a neuron whose active dendritic tree, modeled as a Cayley tree of excitable elements, is subjected to Poisson stimulus. Both single-site and two-site mean-field approximations incorrectly predict a nonequilibrium phase transition which is not allo...
  9. Least-effort trajectories lead to emergent crowd behaviors.

    Physical Review E 85(1-2):016110 (2012) PMID 23003478

    We propose a simple and intuitive formulation of these rules based on biomechanical measurements and the principle of least effort. We present a constrained optimization method to compute collision-free paths of minimum caloric energy for each agent, from which collective crowd behaviors can be repr...
  10. Competition of strength and stress disorder in creep rupture.

    Physical Review E 85(1-2):016116 (2012) PMID 23003484

    We show that the interplay of threshold disorder and the inhomogeneous stress field gives rise to a rich dynamics with intriguing aspects. In the model, fibers fail either due to immediate breaking or to a slow damage process. When the disorder is strong, a large amount of damage occurs, which is ra...