1,687 research outputs found
On time's arrow in Ehrenfest models with reversible deterministic dynamics
We introduce a deterministic, time-reversible version of the Ehrenfest urn
model. The distribution of first-passage times from equilibrium to
non-equilibrium states and vice versa is calculated. We find that average times
for transition to non-equilibrium always scale exponentially with the system
size, whereas the time scale for relaxation to equilibrium depends on
microscopic dynamics. To illustrate this, we also look at deterministic and
stochastic versions of the Ehrenfest model with a distribution of microscopic
relaxation times.Comment: 6 pages, 7 figures, revte
Phase transitions with four-spin interactions
Using an extended Lee-Yang theorem and GKS correlation inequalities, we
prove, for a class of ferromagnetic multi-spin interactions, that they will
have a phase transition(and spontaneous magnetization) if, and only if, the
external field (and the temperature is low enough). We also show the
absence of phase transitions for some nonferromagnetic interactions. The FKG
inequalities are shown to hold for a larger class of multi-spin interactions
Heat conduction in disordered harmonic lattices with energy conserving noise
We study heat conduction in a harmonic crystal whose bulk dynamics is
supplemented by random reversals (flips) of the velocity of each particle at a
rate . The system is maintained in a nonequilibrium stationary
state(NESS) by contacts with Langevin reservoirs at different temperatures. We
show that the one-body and pair correlations in this system are the same (after
an appropriate mapping of parameters) as those obtained for a model with
self-consistent reservoirs. This is true both for the case of equal and
random(quenched) masses. While the heat conductivity in the NESS of the ordered
system is known explicitly, much less is known about the random mass case. Here
we investigate the random system, with velocity flips. We improve the bounds on
the Green-Kubo conductivity obtained by C.Bernardin. The conductivity of the 1D
system is then studied both numerically and analytically. This sheds some light
on the effect of noise on the transport properties of systems with localized
states caused by quenched disorder.Comment: 19 pages, 8 figure
Evolution of a model quantum system under time periodic forcing: conditions for complete ionization
We analyze the time evolution of a one-dimensional quantum system with an
attractive delta function potential whose strength is subjected to a time
periodic (zero mean) parametric variation . We show that for generic
, which includes the sum of any finite number of harmonics, the
system, started in a bound state will get fully ionized as . This
is irrespective of the magnitude or frequency (resonant or not) of .
There are however exceptional, very non-generic , that do not lead to
full ionization, which include rather simple explicit periodic functions. For
these the system evolves to a nontrivial localized stationary state
which is related to eigenfunctions of the Floquet operator
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