35,720 research outputs found
Poiseuille flow in a nanochannel – use of different thermostats
Poiseuille flow of a liquid in a nano-channel is simulated by molecular dynamics by embedding the fluid particles in a uniform force field. The channel is periodic in y and z directions and along x direction it is bounded by atomic walls. The imposition of the body force generates heat in the system leading to shear heating and a non-uniform temperature rise across the channel. In this nonequilibrium system, one can attempt to control temperature in different ways: velocity rescaling, thermostats or wall-fluid coupling. We evaluate and compare different methods critically by analyzing the fluctuations and time averaged quantities from various simulations. When particles will be inserted into the flow, it is expected that the dynamics will depend on the thermostat chosen. First observations show little influence of the thermostats on single tracer particles – this needs further study
Quantisation of second class systems in the Batalin-Tyutin formalism
We review the Batalin-Tyutin approach of quantising second class systems
which consists in enlarging the phase space to convert such systems into first
class. The quantisation of first class systems, it may be mentioned, is already
well founded. We show how the usual analysis of Batalin-Tyutin may be
generalised, particularly if one is dealing with nonabelian theories. In order
to gain a deeper insight into the formalism we have considered two specific
examples of second class theories-- the massive Maxwell theory (Proca model)
and its nonabelian extension. The first class constraints and the involutive
Hamiltonian are explicitly constructed. The connection of our Hamiltonian
approach with the usual Lagrangian formalism is elucidated. For the Proca model
we reveal the importance of a boundary term which plays a significant role in
establishing an exact identification of the extra fields in the Batalin-Tyutin
approach with the St\"uckelberg scalar. Some comments are also made concerning
the corresponding identification in the nonabelian example.Comment: 26 pages, Latex file, e-mail [email protected] SINP-TNP/94-
In-medium vector mesons and low mass lepton pairs from heavy ion collisions
The rho and omega meson self-energy at finite temperature and baryon density
have been analysed for an exhaustive set of mesonic and baryonic loops in the
real time formulation of thermal field theory. The large enhancement of
spectral strength below the nominal rho mass is seen to cause a substantial
enhancement in dilepton pair yield in this mass region. The integrated yield
after space-time evolution using relativistic hydrodynamics with quark gluon
plasma in the initial state leads to a very good agreement with the
experimental data from In-In collisions obtained by the NA60 collaboration.Comment: Invited Talk at the DAE-BRNS Workshop on Hadron Physics, Bhabha
Atomic Research Centre, Mumbai, India, October 31-November 4, 201
Non-spherical collapse of a two fluid star
We obtain the analogue of collapsing Vaidya-like solution to include both a
null fluid and a string fluid, with a linear equation of state (), in non-spherical (plane symmetric and cylindrically symmetric) anti-de
Sitter space-timess. It turns out that the non-spherical collapse of two fluid
in anti-de Sitter space-times, in accordance with cosmic censorship, proceed to
form black holes, i.e., on naked singularity ever forms, violating hoop
conjecture.Comment: 7 pages, RevTeX 4, minor correction
A Parameterized Centrality Metric for Network Analysis
A variety of metrics have been proposed to measure the relative importance of
nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures
the number of attenuated paths that exist between nodes. We introduce a
normalized version of this metric and use it to study network structure,
specifically, to rank nodes and find community structure of the network.
Specifically, we extend the modularity-maximization method [Newman and Girvan,
2004] for community detection to use this metric as the measure of node
connectivity. Normalized alpha-centrality is a powerful tool for network
analysis, since it contains a tunable parameter that sets the length scale of
interactions. By studying how rankings and discovered communities change when
this parameter is varied allows us to identify locally and globally important
nodes and structures. We apply the proposed method to several benchmark
networks and show that it leads to better insight into network structure than
alternative methods.Comment: 11 pages, submitted to Physical Review
- …