11,330 research outputs found
Asymptotic Behavior of Thermal Non-Equilibrium Steady States for a Driven Chain of Anharmonic Oscillators
We consider a model of heat conduction which consists of a finite nonlinear
chain coupled to two heat reservoirs at different temperatures. We study the
low temperature asymptotic behavior of the invariant measure. We show that, in
this limit, the invariant measure is characterized by a variational principle.
We relate the heat flow to the variational principle. The main technical
ingredient is an extension of Freidlin-Wentzell theory to a class of degenerate
diffusions.Comment: 40 page
Vertical Restraints and Producers' Competition
This paper examines the rationale for vertical restraints. It shows that there are important circumstances under which these restrictions have significant anti-competitive effects. The paper focuses on the consequences of exclusive territorial arrangements among the retailers of two products which are imperfect substitutes. Such arrangements are shown to increase consumer prices; under plausible conditions the increase in consumer prices is sufficiently large to more than offset the deleterious effects from "double marginalization" resulting from reduced competition among retailers. The imposition of exclusivity provisions is may be part of a Nash equilibrium among producers. These results hold whether there are or are not franchise fees.
Wave polarizations for a beam-like gravitational wave in quadratic curvature gravity
We compute analytically the tidal field and polarizations of an exact
gravitational wave generated by a cylindrical beam of null matter of finite
width and length in quadratic curvature gravity. We propose that this wave can
represent the gravitational wave that keep up with the high energy photons
produced in a gamma ray burst (GRB) source.Comment: 5 pages, 3 figures, minor corrections, to appear in CQ
Simulating accelerated atoms coupled to a quantum field
We show an analogy between static quantum emitters coupled to a single mode
of a quantum field and accelerated Unruh-DeWitt detectors. We envision a way to
simulate a variety of relativistic quantum field settings beyond the reach of
current computational power, such as high number of qubits coupled to a quantum
field following arbitrary non-inertial trajectories. Our scheme may be
implemented with trapped ions and circuit QED set-ups.Comment: 5 pages, 2 figures, revtex 4-
Hanbury Brown-Twiss Interferometry for Fractional and Integer Mott Phases
Hanbury-Brown-Twiss interferometry (HBTI) is used to study integer and
fractionally filled Mott Insulator (MI) phases in period-2 optical
superlattices. In contrast to the quasimomentum distribution, this second order
interferometry pattern exhibits high contrast fringes in the it insulating
phases. Our detailed study of HBTI suggests that this interference pattern
signals the various superfluid-insulator transitions and therefore can be used
as a practical method to determine the phase diagram of the system. We find
that in the presence of a confining potential the insulating phases become
robust as they exist for a finite range of atom numbers. Furthermore, we show
that in the trapped case the HBTI interferogram signals the formation of the MI
domains and probes the shell structure of the system.Comment: 13 pages, 15 figure
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