1,147 research outputs found
Lindstedt Series Solutions of the Fermi-Pasta-Ulam Lattice
We apply the Lindstedt method to the one dimensional Fermi-Pasta-Ulam
lattice to find fully general solutions to the complete set of equations of
motion. The pertubative scheme employed uses as the expansion
parameter, where is the coefficient of the quartic coupling between
nearest neighbors. We compare our non-secular perturbative solutions to
numerical solutions and find striking agreement.Comment: 17 pages, 10 figures. To appear in the Journal of Mathematical
Physic
Calculability of Quark Mixing Parameters from General Nearest Neighbor Interaction Texture Quark Mass Matrices
We perform an analysis of general quark mass matrices in the general nearest
neighbor interaction form. Excellent agreement with experiment is realized with
this general texture, which is neither hermitian nor real-symmetric. We then
propose a new class of quark mass matrices that contain no additional
parameters other than the quark masses themselves, and thus possess
calculability, i.e., ensure a relationship between the six quark masses and
four flavor-mixing parameters of the Standard Model.Comment: 11 pages. To be published in Physics Letters
Peptide and Protein Hydrogels
Proteins are a fascinating class of macromolecules from both functional and structural perspectives. They catalyze the reactions that sustain life, bind ligands with high affinity and specificity, and mediate interactions among biomolecules in complex cellular milieux. Proteins also assemble into higher-order structures that arc responsible for the mechanical integrity of cells and tissues. Their diverse functional and structural properties have made proteins important building blocks in the development of new biomaterials
Rigorous theory of nuclear fusion rates in a plasma
Real-time thermal field theory is used to reveal the structure of plasma
corrections to nuclear reactions. Previous results are recovered in a fashion
that clarifies their nature, and new extensions are made. Brown and Yaffe have
introduced the methods of effective quantum field theory into plasma physics.
They are used here to treat the interesting limiting case of dilute but very
highly charged particles reacting in a dilute, one-component plasma. The highly
charged particles are very strongly coupled to this background plasma. The
effective field theory proves that this mean field solution plus the one-loop
term dominate; higher loop corrections are negligible even though the problem
involves strong coupling. Such analytic results for very strong coupling are
rarely available, and they can serve as benchmarks for testing computer models.Comment: 4 pages and 2 figures, presented at SCCS 2005, June 20-25, Moscow,
Russi
Gravitational Origin of Quark Masses and Mixings in an Extra-Dimensional Brane-World
Using the resolution of the gauge hierarchy problem recently proposed by
Randall and Sundrum, we find a natural explanation for the observed fermion
masses and mixings of the three Standard Model (SM) generations. Localizing
massless SM matter generations on neighboring 3-branes in an extra dimensional
world leads to effective four dimensional masses and mixings from the coupling
of the fermions with the background metric. We find that the positions of the
3-branes required to solve the gauge hierachy problem simultaneously reproduces
phenomenologically acceptable fermion masses and mixings.Comment: 10 pages, RevTex, psfig.sty, References adde
Bounds on the lightest Higgs boson mass with three and four fermion generations
We present lower bounds on the Higgs boson mass in the Standard Model with
three and four fermion generations SM(3,4), as well as upper bounds on the
lightest Higgs boson mass in the minimal supersymmetric extension of the SM
with three and four generations MSSM(3,4). Our analysis utilizes the SM(3,4)
renormalization-group-improved one-loop effective potential of the Higgs boson
to find the upper bounds on the Higgs mass in the MSSM(3,4) while the lower
bounds in the SM(3,4) are derived from considerations of vacuum stability. All
the bounds increase as the degenerate fourth generation mass increases,
providing more room in theory space that respects the increasing experimental
lower limit of the Higgs mass.Comment: 24 pages, 10 figures, Some additional discussion added. Final version
to be published in International Journal of Modern Physics
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