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pro vyhledávání: '"Turban, L"'
Autor:
Turban, L.
Publikováno v:
Condensed Matter Physics, 2023, vol. 26, No. 1, 13101
We study the finite-size scaling behaviour at the critical point, resulting from the addition of a homogeneous size-dependent perturbation, decaying as an inverse power of the system size. The scaling theory is first formulated in a general framework
Externí odkaz:
http://arxiv.org/abs/2303.01874
Autor:
Turban, L., Fortin, J. -Y.
Publikováno v:
J. Phys. A 51 (2018) 145001
Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong fluctuation
Externí odkaz:
http://arxiv.org/abs/1711.01248
Autor:
Turban, L.
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 205001
A one-dimensional (1D) $q$-state Potts model with $N$ sites, $m$-site interaction $K$ in a field $H$ is studied for arbitrary values of $m$. Exact results for the partition function and the two-point correlation function are obtained at $H=0$. The sy
Externí odkaz:
http://arxiv.org/abs/1701.09058
Autor:
Turban, L.
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016) 355002
We study the spin-$1/2$ Ising chain with multispin interactions $K$ involving the product of $m$ successive spins, for general values of $m$. Using a change of spin variables the zero-field partition function of a finite chain is obtained for free an
Externí odkaz:
http://arxiv.org/abs/1605.05199
Autor:
Turban, L.
Publikováno v:
J. Phys. A 48 (2015) 445001
We consider a random walk on the fully-connected lattice with $N$ sites and study the time evolution of the number of distinct sites $s$ visited by the walker on a subset with $n$ sites. A record value $v$ is obtained for $s$ at a record time $t$ whe
Externí odkaz:
http://arxiv.org/abs/1505.04616
Autor:
Turban, L.
Publikováno v:
J. Phys. A 47 (2014) 385004
The probability distribution of the number $s$ of distinct sites visited up to time $t$ by a random walk on the fully-connected lattice with $N$ sites is first obtained by solving the eigenvalue problem associated with the discrete master equation. T
Externí odkaz:
http://arxiv.org/abs/1409.3718
Publikováno v:
J. Stat. Mech. (2014) P03023
We study the time evolution of the local magnetization in the critical Ising chain in a transverse field after a sudden change of the parameters at a defect. The relaxation of the defect magnetization is algebraic and the corresponding exponent, whic
Externí odkaz:
http://arxiv.org/abs/1402.1744
Autor:
Turban, L.
Majumdar and Tamm [Phys. Rev. E 86 021135 (2012), arXiv:1206.6184] recently obtained analytical expressions for the mean number of common sites W_N(t) visited up to time t by N independent random walkers starting from the origin of a d-dimensional la
Externí odkaz:
http://arxiv.org/abs/1209.2527
Autor:
Turban, L.
Publikováno v:
J. Phys. A, 43 (2010) 285006
We study a one-dimensional random walk with memory in which the step lengths to the left and to the right evolve at each step in order to reduce the wandering of the walker. The feedback is quite efficient and lead to a non-diffusive walk. The time e
Externí odkaz:
http://arxiv.org/abs/1005.3896
Autor:
Igloi, F., Turban, L.
Publikováno v:
Phys. Rev. E 78 (2008) 031128
We consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exact
Externí odkaz:
http://arxiv.org/abs/0808.3512