Latest Research Papers In Condensed Matter Physics | (Cond-Mat.Stat-Mech) 2019-02-23
Statistical Mechanics
Stochastic thermodynamics of self-oscillations: the electron shuttle (1902.08174v1)
C. W. Wächtler, P. Strasberg, S. H. L. Klapp, G. Schaller, C. Jarzynski
2019-02-21
Self-oscillation is a phenomenon studied across many scientific disciplines, including the engineering of efficient heat engines and electric generators. We investigate the single electron shuttle, a model nano-scale system that exhibits a spontaneous transition towards self-oscillation, from a thermodynamic perspective. We analyze the model at three different levels of description: The fully stochastic level based on Fokker-Planck and Langevin equations, the mean-field level, and a perturbative solution to the Fokker-Planck equation that works particularly well for small oscillation amplitudes. We provide consistent derivations of the laws of thermodynamics for this model system at each of these levels. At the mean-field level, an abrupt transition to self-oscillation arises from a Hopf bifurcation of the deterministic equations of motion. At the stochastic level, this transition is smeared out by noise, but vestiges of the bifurcation remain visible in the stationary probability density. At all levels of description, the transition towards self-oscillation is reflected in thermodynamic quantities such as heat flow, work and entropy production rate. Our analysis provides a comprehensive picture of a nano-scale self-oscillating system, with stochastic and deterministic models linked by a unifying thermodynamic perspective.
Time-averaged height distribution of the Kardar-Parisi-Zhang interface (1902.08110v1)
Naftali R. Smith, Baruch Meerson, Arkady Vilenkin
2019-02-21
We study the complete probability distribution
of the time-averaged height
at point
of an evolving 1+1 dimensional Kardar-Parisi-Zhang (KPZ) interface
. We focus on short times and flat initial condition and employ the optimal fluctuation method to determine the variance and the third cumulant of the distribution, as well as the asymmetric stretched-exponential tails. The tails scale as
and
, as the previously determined tails of the one-point KPZ height statistics at specified time
. The optimal interface histories, dominating these tails, are markedly different. Remarkably, the optimal history,
, of the interface height at
On the continuum limit of the entanglement Hamiltonian (1902.04474v2)
Viktor Eisler, Erik Tonni, Ingo Peschel
2019-02-12
We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the continuum limit. For an infinite chain, this can be done analytically for arbitrary fillings and is shown to be the consequence of the particular structure of the entanglement Hamiltonian, while for finite rings or temperatures the result is based on numerical calculations.
Rejuvenation and Memory Effects in a Structural Glass (1902.08082v1)
Camille Scalliet, Ludovic Berthier
2019-02-21
We show numerically that a three-dimensional model for structural glass displays aging, rejuvenation and memory effects when submitted to a temperature cycle. These effects indicate that the free energy landscape of structural glasses may possess the complex hierarchical structure that characterize materials such as spin and polymer glasses. We use the theoretical concept of marginal stability to interpret our results, and explain in which physical conditions a complex aging dynamics can emerge in dense supercooled liquids, paving the way for future experimental studies of complex aging dynamics in colloidal and granular glasses.
Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs (1706.03479v3)
Hideaki Hakoshima, Akira Shimizu
2017-06-12
We investigate the size scaling of the entanglement entropy (EE) in nonequilibrium steady states (NESSs) of a one-dimensional open quantum system with a random potential. It models a mesoscopic conductor, composed of a long quantum wire (QWR) with impurities and two electron reservoirs at zero temperature. The EE at equilibrium obeys the logarithmic law. However, in NESSs far from equilibrium the EE grows anomalously fast, obeying the `quasi volume law,' although the conductor is driven by the zero-temperature reservoirs. This anomalous behavior arises from both the far from equilibrium condition and multiple scatterings due to impurities.
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