Zobrazeno 1 - 10
of 4 222
pro vyhledávání: '"Bettelheim, A"'
Autor:
Bettelheim, Eldad, Meerson, Baruch
We combine the Macroscopic Fluctuation Theory and the Inverse Scattering Method to determine the full long-time statistics of the energy density $u(x,t)$ averaged over a given spatial interval, $$U =\frac{1}{2L}\int_{-L}^{L}dx\, u(x,t),$$ in a freely
Externí odkaz:
http://arxiv.org/abs/2407.06335
Autor:
Bettelheim, Eldad, Meerson, Baruch
Publikováno v:
Phys. Rev. E 110, 014101 (2024)
The Simple Inclusion Process (SIP) interpolates between two well-known lattice gas models: the independent random walkers and the Kipnis-Marchioro-Presutti model. Here we study large deviations of nonstationary mass transfer in the SIP at long times
Externí odkaz:
http://arxiv.org/abs/2403.19536
Autor:
Bettelheim, Eldad
We show the relationship between the strongly non-linear limit (also termed the dispersionless or the Whitham limit) of the macroscopic fluctuation theory of certain statistical models and the inverse scattering method. We show that in the strongly n
Externí odkaz:
http://arxiv.org/abs/2307.09030
Autor:
Bettelheim, Eldad
We employ a mathematical framework based on the Riemann-Hilbert approach developed in Ref. [1] to study logarithmic negativity of two intervals of free fermions in the case where the size of the intervals as well as the distance between them is macro
Externí odkaz:
http://arxiv.org/abs/2305.16856
Publikováno v:
J. Stat. Mech. (2022) 093103
We investigate non-stationary heat transfer in the Kipnis-Marchioro-Presutti (KMP) lattice gas model at long times in one dimension when starting from a localized heat distribution. At large scales this initial condition can be described as a delta-f
Externí odkaz:
http://arxiv.org/abs/2204.06278
Publikováno v:
Phys. Rev. Lett. 128, 130602 (2022)
We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti lattice gas model at long times by uncovering and exploiting complete integrability of the underlying equations of the macroscopic fluctuation theory. Th
Externí odkaz:
http://arxiv.org/abs/2112.02474
Autor:
Larsen, Helle, Holmskov, Anni, Andreasen, Kirsten Riis, Uldbjerg, Niels, Ramb, Jan, Sperling, Lene, Hinterberger, Stefan, Krebs, Lone, Zingenberg, Helle, Weiss, Eva-Christine, Strobl, Isolde, Laursen, Lone, Christensen, Jeanette Tranberg, Skogstrand, Kristin, Vogel, Ida, Krampl-Bettelheim, Elisabeth, Tabor, Ann, Christiansen, Cecilie Holm, Kirk, Mille, Worda, Katharina, Hegaard, Hanne Kristine, Rode, Line
Publikováno v:
In Journal of Reproductive Immunology August 2024 164
The statistical mechanics characterization of a finite subsystem embedded in an infinite system is a fundamental question of quantum physics. Nevertheless, a full closed form { for all required entropic measures} does not exist in the general case ev
Externí odkaz:
http://arxiv.org/abs/2108.06124
Autor:
Bettelheim, Eldad
We study a matrix element of the field operator in the Lieb-Liniger model using the Bethe ansatz technique coupled with a functional approach to compute Slavnov determinants. We obtain the matrix element exactly in the thermodynamic limit for any cou
Externí odkaz:
http://arxiv.org/abs/2104.08749
Autor:
Bettelheim, Eldad
The Whitham approach is a well-studied method to describe non-linear integrable systems. Although approximate in nature, its results may predict rather accurately the time evolution of such systems in many situations given initial conditions. A simil
Externí odkaz:
http://arxiv.org/abs/1912.13389