70 citations · 369 across the 32 of their papers we have counts for
32 papers
High-dimensional theory of the glass transition revisited: hopping and local defects
Harukuni Ikeda, Francesco Zamponi
The replicated liquid theory provides a microscopic mean-field description of the glass transition by combining the density functional theory of liquids with the replica method ori…
Weakly Nonlinear Dynamics of Unstable Modes in Jammed Amorphous Solids
Kota Noto, Harukuni Ikeda, Kuniyasu Saitoh +1
We investigate the structural evolution in jammed amorphous solids by analyzing the eigenmodes of a generalized Hessian matrix that incorporates spatial modulation via wave numbers…
Minimum scaling model and exact exponents for the Nambu-Goldstone modes in the Vicsek Model
Harukuni Ikeda
We investigate the scaling behavior of Nambu-Goldstone (NG) modes in the ordered phase of the Vicsek model, introducing a phenomenological equation of motion (EOM) incorporating a…
Continuous symmetry breaking of low-dimensional systems driven by inhomogeneous oscillatory driving forces
Harukuni Ikeda, Yuta Kuroda
The driving forces of chiral active particles and deformations of cells are often modeled by spatially inhomogeneous but temporally periodic driving forces. Such inhomogeneous osci…
Correlated Noise and Critical Dimensions
Harukuni Ikeda
In equilibrium, the Mermin-Wagner theorem prohibits the continuous symmetry breaking for all dimensions . In this work, we discuss that this limitation can be circumvented…
Active Spherical Model
Harukuni Ikeda
The spherical model is a popular solvable model and has been applied to describe several critical phenomena such as the ferromagnetic transition, Bose-Einstein condensation, spin-g…
Universality of classical and quantum SAT-UNSAT transitions of convex continuous satisfaction problems
Harukuni Ikeda
Here we investigate the single-layer linearized perceptron near the SAT-UNSAT transition point as a prototypical model of the convex continuous satisfaction problems. The simplicit…
Bose-Einstein-Like condensation of deformed random matrix: A replica approach
Harukuni Ikeda
In this work, we investigate a symmetric deformed random matrix, which is obtained by perturbing the diagonal elements of the Wigner matrix. The eigenvector …
Control parameter dependence of fluctuation near jamming
Harukuni Ikeda
The fluctuations of the physical quantities play a central role to characterize the critical phenomena. Here, we report that the nature of the fluctuation highly depends on the con…
Mean-field caging in a random Lorentz gas
Giulio Biroli, Patrick Charbonneau, Yi Hu +3
The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, limit: the localizati…
Testing mean-field theory for jamming of non-spherical particles: Contact number, gap distribution, and vibrational density of states
Harukuni Ikeda
We perform numerical simulations of the jamming transition of non-spherical particles in two dimensions. In particular, we systematically investigate how the physical quantities at…
Finite size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder
Patrick Charbonneau, Eric I. Corwin, R. Cameron Dennis +4
Jamming criticality defines a universality class that includes systems as diverse as glasses, colloids, foams, amorphous solids, constraint satisfaction problems, neural networks,…
Vibrational density of states of jammed packing: mean-field theory
Harukuni Ikeda, Masanari Shimada
Several mean-field theories predict that Hessian matrices of amorphous solids can be written by using the random matrix in the limit of the large spatial dimensions . M…
Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression
Harukuni Ikeda, Koji Hukushima
Critical properties of frictionless spherical particles below jamming are studied using extensive numerical simulations, paying particular attention to the non-affine part of the d…
Note: Relaxation time below jamming
Harukuni Ikeda
Like other critical phenomena, the jamming transition accompanies the divergence of the relaxation time . A recent numerical study of frictionless spherical particles proves tha…
Interplay between percolation and glassiness in the random Lorentz gas
Giulio Biroli, Patrick Charbonneau, Eric I. Corwin +4
The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media. It also models the dynamics of a tracer in a glassy system. These two perspectives, however, ar…
Jamming below upper critical dimension
Harukuni Ikeda
Extensive numerical simulations in the past decades proved that the critical exponents of the jamming of frictionless spherical particles remain unchanged in two and three dimensio…
Jamming with tunable roughness
Harukuni Ikeda, Carolina Brito, Matthieu Wyart +1
We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming tra…
Force balance controls the relaxation time of the gradient descent algorithm in the satisfiable phase
Sungmin Hwang, Harukuni Ikeda
We numerically study the relaxation dynamics of the single layer perceptron with the spherical constraint. This is the simplest model of neural networks and serves a prototypical m…
Infinitesimal asphericity changes the universality of the jamming transition
Harukuni Ikeda, Carolina Brito, Matthieu Wyart
The jamming transition of non-spherical particles is fundamentally different from the spherical case. Non-spherical particles are hypostatic at their jamming points, while isostati…
Mean field theory of jamming of nonspherical particles
Harukuni Ikeda, Pierfrancesco Urbani, Francesco Zamponi
Recent computer simulations have uncovered the striking difference between the jamming transition of spherical and non-spherical particles. While systems of spherical particles are…
Effect of particle exchange on the glass transition of binary hard spheres
Harukuni Ikeda, Francesco Zamponi
We investigate the replica theory of the liquid-glass transition for a binary mixture of large and small additive hard spheres. We consider two different ansätze for this problem:…
Note: Effect of localization on mean-field density of state near jamming
Harukuni Ikeda
We discuss the effects of the localized modes on the density of state by introducing the probability distribution function of the proximity to the marginal stability. Our th…
Sublattice symmetry breaking and Kondo-effect enhancement in strained graphene
Dawei Zhai, Kevin Ingersent, Sergio E. Ulloa +1
Kondo physics in doped monolayer graphene is predicted to exhibit unusual features due to the linear vanishing of the pristine material's density of states at the Dirac point. Desp…