238 research outputs found
Cluster phases of membrane proteins
A physical scenario accounting for the existence of size-limited
submicrometric domains in cell membranes is proposed. It is based on the
numerical investigation of the counterpart, in lipidic membranes where proteins
are diffusing, of the recently discovered cluster phases in colloidal
suspensions. I demonstrate that the interactions between proteins, namely
short-range attraction and longer-range repulsion, make possible the existence
of stable small clusters. The consequences are explored in terms of membrane
organization and diffusion properties. The connection with lipid rafts is
discussed and the apparent protein diffusion coefficient as a function of their
concentration is analyzed.Comment: 5 pages - enhanced versio
Thermodynamics of nano-cluster phases: a unifying theory
We propose a unifying, analytical theory accounting for the self-organization
of colloidal systems in nano- or micro-cluster phases. We predict the
distribution of cluter sizes with respect to interaction parameters and colloid
concentration. In particular, we anticipate a proportionality regime where the
mean cluster size grows proportionally to the concentration, as observed in
several experiments. We emphasize the interest of a predictive theory in soft
matter, nano-technologies and biophysics.Comment: 4 pages, 1 figur
Network Transitivity and Matrix Models
This paper is a step towards a systematic theory of the transitivity
(clustering) phenomenon in random networks. A static framework is used, with
adjacency matrix playing the role of the dynamical variable. Hence, our model
is a matrix model, where matrices are random, but their elements take values 0
and 1 only. Confusion present in some papers where earlier attempts to
incorporate transitivity in a similar framework have been made is hopefully
dissipated. Inspired by more conventional matrix models, new analytic
techniques to develop a static model with non-trivial clustering are
introduced. Computer simulations complete the analytic discussion.Comment: 11 pages, 7 eps figures, 2-column revtex format, print bug correcte
On the microscopic dynamics of DCC formation
The dynamics of the pion field after a quench is studied in the framework of
the linear sigma model. Our aim is to determine to what extent the amplified
pion field resembles the DCC picture originally proposed in the early '90s. We
present the result of a computer experiment where, among other things, we study
in detail the correlation between isospin orientations of the distinct modes of
the field. We show that this correlation is absent. In a sense, the distinct
modes behave as distinct DCCs. The implications of this observation are
discussed.Comment: 19 pages, Latex2e, 7 figures in EPS, uses (included) boldgreek.sty
and standard epsf package
Statistical ensemble of scale-free random graphs
A thorough discussion of the statistical ensemble of scale-free connected
random tree graphs is presented. Methods borrowed from field theory are used to
define the ensemble and to study analytically its properties. The ensemble is
characterized by two global parameters, the fractal and the spectral
dimensions, which are explicitly calculated. It is discussed in detail how the
geometry of the graphs varies when the weights of the nodes are modified. The
stability of the scale-free regime is also considered: when it breaks down,
either a scale is spontaneously generated or else, a "singular" node appears
and the graphs become crumpled. A new computer algorithm to generate these
random graphs is proposed. Possible generalizations are also discussed. In
particular, more general ensembles are defined along the same lines and the
computer algorithm is extended to arbitrary (degenerate) scale-free random
graphs.Comment: 10 pages, 6 eps figures, 2-column revtex format, minor correction
A Remark on the Renormalization Group Equation for the Penner Model
It is possible to extract values for critical couplings and gamma_string in
matrix models by deriving a renormalization group equation for the variation of
the of the free energy as the size N of the matrices in the theory is varied.
In this paper we derive a ``renormalization group equation'' for the Penner
model by direct differentiation of the partition function and show that it
reproduces the correct values of the critical coupling and gamma_string and is
consistent with the logarithmic corrections present for g=0,1.Comment: LaTeX, 5 pages, LPTHE-Orsay-94-5
Local charge compensation from colour preconfinement as a key to the dynamics of hadronization
If, as is commonly accepted, the colour-singlet, `preconfined', perturbative
clusters are the primary units of hadronization, then the electric charge is
necessarily compensated locally at the scale of the typical cluster mass. As a
result, the minijet electric charge is suppressed at scales that are greater
than the cluster mass. We hence argue, and demonstrate by means of Monte Carlo
simulations using HERWIG, that the scale at which charge compensation is
violated is close to the mass of the clusters involved in hadronization, and
its measurement would provide a clue to resolving the nature of the dynamics.
We repeat the calculation using PYTHIA and find that the numbers produced by
the two generators are similar. The cluster mass distribution is sensitive to
soft emission that is considered unresolved in the parton shower phase. We
discuss how the description of the splitting of large clusters in terms of
unresolved emission modifies the algorithm of HERWIG, and relate the findings
to the yet unknown underlying nonperturbative mechanism. In particular, we
propose a form of that follows from a power-enhanced beta function,
and discuss how this that governs unresolved emission may be related
to power corrections. Our findings are in agreement with experimental data.Comment: 37 pages, 20 figure
Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
Extensive experimental data from high-energy nucleus-nucleus collisions were
recorded using the PHENIX detector at the Relativistic Heavy Ion Collider
(RHIC). The comprehensive set of measurements from the first three years of
RHIC operation includes charged particle multiplicities, transverse energy,
yield ratios and spectra of identified hadrons in a wide range of transverse
momenta (p_T), elliptic flow, two-particle correlations, non-statistical
fluctuations, and suppression of particle production at high p_T. The results
are examined with an emphasis on implications for the formation of a new state
of dense matter. We find that the state of matter created at RHIC cannot be
described in terms of ordinary color neutral hadrons.Comment: 510 authors, 127 pages text, 56 figures, 1 tables, LaTeX. Submitted
to Nuclear Physics A as a regular article; v3 has minor changes in response
to referee comments. Plain text data tables for the points plotted in figures
for this and previous PHENIX publications are (or will be) publicly available
at http://www.phenix.bnl.gov/papers.htm
Discrete approaches to quantum gravity in four dimensions
The construction of a consistent theory of quantum gravity is a problem in
theoretical physics that has so far defied all attempts at resolution. One
ansatz to try to obtain a non-trivial quantum theory proceeds via a
discretization of space-time and the Einstein action. I review here three major
areas of research: gauge-theoretic approaches, both in a path-integral and a
Hamiltonian formulation, quantum Regge calculus, and the method of dynamical
triangulations, confining attention to work that is strictly four-dimensional,
strictly discrete, and strictly quantum in nature.Comment: 33 pages, invited contribution to Living Reviews in Relativity; the
author welcomes any comments and suggestion
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