Zobrazeno 1 - 10
of 500
pro vyhledávání: '"Sasamoto T"'
Publikováno v:
J. Stat. Mech. (2019) 063105
We investigate the fluctuations of the spin current for the one dimensional XX spin chain starting from the domain wall initial condition. The generating function of the current is shown to be written as a determinant with the Bessel kernel. An exact
Externí odkaz:
http://arxiv.org/abs/1901.07228
Autor:
Fukadai, T., Sasamoto, T.
Publikováno v:
J. Phys. Soc. Jpn. 87, 054006 (2018)
We study the time-dependent properties of double quantum dots coupled to two reservoirs using the nonequilibrium Green function method. For an arbitrary time-dependent bias, we derive an expression for the time-dependent electron density of a dot and
Externí odkaz:
http://arxiv.org/abs/1704.03226
Publikováno v:
Phys. Rev. Lett. 118, 160601 (2017)
The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite lattice wi
Externí odkaz:
http://arxiv.org/abs/1702.05824
In a recent contribution, Dotsenko establishes a Fredholm determinant formula for the two-point distribution of the KPZ equation in the long time limit and starting from narrow wedge initial conditions. We establish that his expression is identical t
Externí odkaz:
http://arxiv.org/abs/1305.1217
Autor:
Imamura, T., Sasamoto, T.
Publikováno v:
J. Math. Phys. 49, 053302 (2008)
We consider a generalization of the Schur process in which a partition evolves from the empty partition into an arbitrary fixed final partition. We obtain a double integral representation of the correlation kernel. For a special final partition with
Externí odkaz:
http://arxiv.org/abs/0804.4106
Autor:
Sasamoto, T.
Publikováno v:
J. Stat. Mech. (2007) P07007
The studies of fluctuations of the one-dimensional Kardar-Parisi-Zhang universality class using the techniques from random matrix theory are reviewed from the point of view of the asymmetric simple exclusion process. We explain the basics of random m
Externí odkaz:
http://arxiv.org/abs/0705.2942
Autor:
Imamura, T., Sasamoto, T.
Publikováno v:
J. Stat. Phys. 128 (2007) 799-846
The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial condition. Calculated is the multi-time joint distribution function o
Externí odkaz:
http://arxiv.org/abs/math-ph/0702009
Autor:
Sasamoto, T.
We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by a Fredholm determinant, with its kernel in the scaling limit explicitl
Externí odkaz:
http://arxiv.org/abs/cond-mat/0504417
Autor:
Imamura, T., Sasamoto, T.
Publikováno v:
Phys. Rev. E 71, 041606 (2005)
We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources. It is shown that the distribution, GOE$^2$, which is defined as the
Externí odkaz:
http://arxiv.org/abs/math-ph/0411057
Autor:
Imamura, T., Sasamoto, T.
Publikováno v:
Nucl. Phys. B 699 (2004) 503-544
The one-dimensional polynuclear growth model with external sources at edges is studied. The height fluctuation at the origin is known to be given by either the Gaussian, the GUE Tracy-Widom distribution, or certain distributions called GOE$^2$ and $F
Externí odkaz:
http://arxiv.org/abs/math-ph/0406001