Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Dohm, Volker"'
Autor:
Dohm, Volker
An overview of recent advances in the theory of critical phenomena in $d$-dimensional weakly anisotropic systems is given. On the basis of a generalized shear transformation between anisotropic and isotropic systems, exact and approximate results are
Externí odkaz:
http://arxiv.org/abs/2311.02720
Autor:
Dohm, Volker
Recently a unified hypothesis of multiparameter universality for the critical behavior of bulk and confined anisotropic systems has been formulated [V. Dohm, Phys. Rev. E {\bf 97}, 062128 (2018)]. We prove the validity of this hypothesis on the basis
Externí odkaz:
http://arxiv.org/abs/2307.01799
Publikováno v:
J. Phys. A: Math. Theor. 54 (2021) 23LT01
Analytic predictions have been derived recently by V. Dohm and S. Wessel, Phys. Rev. Lett. {\bf 126}, 060601 (2021) from anisotropic $\varphi^4$ theory and conformal field theory for the amplitude ${\cal F}_c$ of the critical free energy of finite an
Externí odkaz:
http://arxiv.org/abs/2102.11561
Autor:
Dohm, Volker, Wessel, Stefan
Publikováno v:
Physical Review Letters 126, 060601 (2021)
The exact critical Casimir amplitude is derived for anisotropic systems within the $d=2$ Ising universality class by combining conformal field theory (CFT) with anisotropic $\varphi^4$ theory. Explicit results are presented for the general anisotropi
Externí odkaz:
http://arxiv.org/abs/2102.11214
Autor:
Dohm, Volker
Publikováno v:
Phys. Rev. E 100, 050101 (2019)
We prove the validity of multiparameter universality for the exact critical bulk correlation functions of the anisotropic square-lattice and triangular-lattice Ising models on the basis of the exact scaling structure of the correlation function of th
Externí odkaz:
http://arxiv.org/abs/1907.00859
Autor:
Dohm, Volker
The finite-size renormalization-group approach for isotropic O$(n)$-symmetric systems introduced previously [V. Dohm, Phys. Rev. Lett. {\bf 110}, 107207 (2013)] is extended to weakly anisotropic O$(n)$-symmetric systems. Our theory is formulated with
Externí odkaz:
http://arxiv.org/abs/1708.06272
Autor:
Dohm, Volker
Publikováno v:
Physical Review Letters 110, 107207 (2013)
We study the crossover between thermodynamic Casimir forces arising from long-range fluctuations due to Goldstone modes and those arising from critical fluctuations. Both types of forces exist in the low-temperature phase of O$(n)$ symmetric systems
Externí odkaz:
http://arxiv.org/abs/1301.2666
Autor:
Dohm, Volker
We study the critical behavior of the free energy and the thermodynamic Casimir force in a $L_\parallel^{d-1} \times L$ block geometry in $2
Externí odkaz:
http://arxiv.org/abs/1012.5955
Autor:
Kastening, Boris, Dohm, Volker
Publikováno v:
Phys. Rev. E 81, 061106 (2010)
Finite-size effects are investigated in the Gaussian model with isotropic and anisotropic short-range interactions in film geometry with nonperiodic boundary conditions (b.c). We have obtained exact results for the free energy and the Casimir force f
Externí odkaz:
http://arxiv.org/abs/0907.1613
Autor:
Dohm, Volker
Publikováno v:
EPL 86, 20001 (2009)
We present a field-theoretic study of the critical Casimir force of the Ising universality class in a $d$-dimensional ${L_\parallel^{d-1} \times L}$ slab geometry with a finite aspect ratio $\rho = L/L_\parallel$ above, at, and below $T_c$. The resul
Externí odkaz:
http://arxiv.org/abs/0902.2961