We study explosive gas–liquid flows caused by rapid depressurization using a molecular dynamics model of Lennard-Jones particle systems. A unique feature of our model is that it consists of two types of particles: liquid particles, which tend to form liquid droplets, and gas particles, which...

We simulate gas–liquid flows caused by rapid depressurization using a molecular dynamics model. The model consists of two types of Lennard-Jones particles, which we call liquid particles and gas particles. These two types of particles are distinguished by their mass and strength of...

The mechanism of financial transactions provided to society today cannot be determined by a single financial institution, but is determined through a complex structure of mutual cooperation, or a "network", between several financial institutions. Quantitative analysis of such a "network"...

We present detail analyses of a model of three-dimensional impact fracture process based on a competitive process of fragments. The model automatically creates a power-law fragment mass distribution without any tuning parameters. The exponent of the distribution shows very good agreement with...

We analyzed a network structure formed by monetary transactions between financial institutions. We present a procedure to extract a network structure from a set of records of transactions. The extracted network has self-similarity described by a power-law degree distribution. We also introduce a...

Numerical simulation methods of impact fragmentation are reviewed. The well-known power-law distribution of fragment pieces is explained theoretically and its dependence on aspect ratio is derived.

Two kinds of multi-spin-flip discrete-time dynamics of the Ising chain are solved analytically. One dynamics is the two sublattice type flip and each sublattice contains n sequential spins alternately. The other has the overlapped multi-spin-flip sequence. The state of n spins at the next time...

From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent z is estimated to be 2.165 ± 0.010 for this model. The relaxation in the ordered phase of this model is consistent with exp (−√t/τ) behavior. The interface energy of the...

The non-equilibrium critical relaxation of the single-cluster dynamics is studied for the ferromagnetic Ising model on the square and cubic lattices. Power-law behavior is observed in the energy relaxation process starting from an all-up spin configuration. From this power decay, the dynamical...

We have carried out extensive Monte Carlo simulations of the ferromagnetic Ising model on square and cubic lattices. By analysing the power spectrum of the magnetization autocorrelation function we have values of the dynamic exponents for the two models. Our results are z=2.13±0.02 in two...