Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Mean-field critical behaviour for percolation in high dimensions

AbstractThe triangle condition for percolation states that
$$\sum\limits_{x,y} {\tau (0,x)\tau (0,y) \cdot \tau (y,0)} $$
is finite at the critical point, where τ(x, y) is the probability that the… Expand

238 43- PDF

Self-avoiding walk in five or more dimensions I. The critical behaviour

We use the lace expansion to study the standard self-avoiding walk in thed-dimensional hypercubic lattice, ford≧5. We prove that the numbercn ofn-step self-avoiding walks satisfiescn~Aμn, where μ is… Expand

152 16

Mean-Field Behaviour and the Lace Expansion

These lectures describe the lace expansion and its role in proving mean-field critical behaviour for self-avoiding walks, lattice trees and animals, and percolation, above their upper critical… Expand

86 10- PDF

On the upper critical dimension of lattice trees and lattice animals

We give a rigorous proof of mean-field critical behavior for the susceptibility (γ=1/2) and the correlation length (v=1/4) for models of lattice trees and lattice animals in two cases: (i) for the… Expand

75 8

Mean-field critical behaviour for correlation length for percolation in high dimensions

- T. Hara
- Mathematics
- 1 September 1990

SummaryExtending the method of [27], we prove that the corrlation length ξ of independent bond percolation models exhibits mean-field type critical behaviour (i.e. ξ(p∼(pc−p)−1/2 asp↗pc) in two… Expand

29 5

Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace

- S. Goldstein, T. Hara, H. Tasaki
- Physics, Mathematics
- 3 February 2014

The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it may seem to conflict with the time-reversibility of the microscopic dynamics. We here prove… Expand

57 2- PDF

The number and size of branched polymers in high dimensions

We consider two models of branched polymers (lattice trees) on thed-dimensional hypercubic lattice: (i)the nearest-neighbor model in sufficiently high dimensions, and (ii) a “spread-out” or… Expand

32 2

Critical behavior in gravitational collapse of a perfect fluid

To confirm the scenario of critical behavior in gravitational collapse in a previous paper we carry out a rather complete analysis for perfect fluids with pressure proportional to density, in a wide… Expand

23 2

New Application of the Transient Grating Method to a Photochemical Reaction: The Enthalpy, Reaction Volume Change, and Partial Molar Volume Measurements

- T. Hara, and Noboru Hirota, M. Terazima
- Chemistry
- 13 June 1996

A new application of the time-resolved transient grating method for measuring the enthalpy and reaction volume changes in a photochemical reaction is described in detail. From the temporal profile ...

48 1

Absorption of CO/sub 2/ and CO gases and furfural in insulating oil into paper insulation in oil-immersed transformers

- Hisao Kan, T. Miyamoto, Y. Makino, Sadao Namba, T. Hara
- Materials Science
- Proceedings of IEEE International Symposium on…
- 5 June 1994

This paper relates to diagnostic methods for oil-immersed transformers. Diagnosis of internal condition of oil-immersed transformers using dissolved gas analysis technique is widely performed to… Expand

22 1