Finite-Size Scaling at the Jamming Transition
نویسندگان
چکیده
منابع مشابه
Finite-size scaling at the jamming transition.
We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhib...
متن کاملFinite-size scaling at the jamming transition: corrections to scaling and the correlation-length critical exponent.
We carry out a finite-size scaling analysis of the jamming transition in frictionless bidisperse soft core disks in two dimensions. We consider two different jamming protocols: (i) quench from random initial positions and (ii) quasistatic shearing. By considering the fraction of jammed states as a function of packing fraction for systems with different numbers of particles, we determine the spa...
متن کاملScaling collapse at the jamming transition.
The jamming transition of particles with finite-range interactions is characterized by a variety of critical phenomena, including power-law distributions of marginal contacts. We numerically study a recently proposed simple model of jamming, which is conjectured to lie in the same universality class as the jamming of spheres in all dimensions. We extract numerical estimates of the critical expo...
متن کاملCritical scaling of shear viscosity at the jamming transition.
We carry out numerical simulations to study transport behavior about the jamming transition of a model granular material in two dimensions at zero temperature. Shear viscosity eta is computed as a function of particle volume density rho and applied shear stress sigma, for diffusively moving particles with a soft core interaction. We find an excellent scaling collapse of our data as a function o...
متن کاملScaling theory for the jamming transition
We propose a scaling ansatz for the elastic energy of a system near the critical jamming transition in terms of three relevant fields: the compressive strain ∆φ relative to the critical jammed state, the shear strain , and the inverse system size 1/N . We also use ∆Z, the number of contacts relative to the minimum required at jamming, as an underlying control parameter. Our scaling theory predi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2012
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.109.095704