ar X iv : c on d - m at / 9 50 60 34 v 1 8 J un 1 99 5 Aggregation with Multiple Conservation Laws

نویسندگان

  • P. L. Krapivsky
  • E. Ben - Naim
چکیده

Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymp-totic form of this solution exhibits nontrivial " double " scaling. While processes with one conserved quantity are governed by a single scale, processes with multiple conservation laws exhibit an additional diffusion-like scale. The theory is applied to ballistic aggre-gation with mass and momentum conserving collisions and to diffusive aggregation with multiple species.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : c on d - m at / 9 50 60 18 v 1 5 J un 1 99 5 Hartree - Fock ground state of the composite fermion metal

Within the Hartree-Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of the singleparticle energy at the Fermi momentum. It is shown that the Hartree-Fock result brings no corrections to the RPA Fermi velocity.

متن کامل

ar X iv : c on d - m at / 9 80 60 43 v 1 3 J un 1 99 8 Electrodymanics with Toroid Polarization

A modified system of equations of electrodynamics has been obtained. Beside the Lagrangian one an alternative gauge-like formalism has been developed to introduce the toroid moment contributions in the equations obtained. The two potential formalism that was worked out by us earlier has been developed further where along with the two vector potentials we introduce two scalar potentials thus tak...

متن کامل

ar X iv : c on d - m at / 9 80 60 22 v 1 2 J un 1 99 8 Lattice Dimerization in the Spin - Peierls Compound CuGeO 3

The uniaxial pressure dependences of the exchange coupling and the structural distortion in the dimerized phase of CuGeO3 are analyzed. A minimum magnetic dimerization of 3 % is obtained, incompatible with an adiabatic approach to the spin–Peierls transition. Exploring the properties of an Heisenberg spin chain with dynamical spin-phonon coupling, the dimerization dependence of the spin excitat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995