Št. zadetkov: 9
Magistrsko delo
Oznake:
Landau-Lifshitzov model na mreži;transport;integrabilnost;samodualnost;Trotterjev razcep;integrabilna trotterizacija;Laypunov spekter;superdifuzivnost;
V delu študiramo transport v Landu-Lifshitzovem modelu na mreži v eni prostorski dimenziji, ki predstavlja klasičen analog kvantne spinske verige. Model motiviramo s kvantnomehansko obravnavo izmenjalne interakcije. Vpeljemo koncept integrabilnosti v klasični mehaniki ter zapišemo enačbe gibanja mod ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
statistična fizika;integrabilni sistemi;spinske verige;spinski transport;statistical physics;integrable systems;spin chains;spin transport;
We introduce a deterministic SO(3) invariant dynamics of classical spins on a discrete space–time lattice and prove its complete integrability by explicitly finding a related non-constant (baxterized) solution of the set-theoretic Yang–Baxter equation over the 2-sphere. Equipping the algebraic struc ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Doktorska disertacija
Oznake:
classical integrability;discrete space-time;inverse scattering method;soliton gas;spin transport;superdiffusion;full-counting statistics;charged single-file dynamics;dynamical criticality;anomalus spin dynamics;
We study the equilibrium and non-equilibrium statistical properties of interacting many-body systems, focusing on classical integrable models in one spatial dimensions. While integrability allows one to solve the initial value problem for a nonlinear system, the averaging over ensembles of initial c ...
Leto:
2023
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
dinamični sistemi;teoretična fizika;dynamical systems;theoretical physics;
We introduce a class of integrable dynamical systems of interacting classical matrixvalued fields propagating on a discrete space-time lattice, realized as many-body circuits built from elementary symplectic two-body maps. The models provide an efficient integrable Trotterization of non- relativisti ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
statistična fizika;nelinearna dinamika;difuzija;statistical physics;nonlinear dynamics;diffusion;
We discuss general features of charge transport in nonrelativistic classical field theories invariant under non-Abelian unitary Lie groups by examining the full structure of two-point dynamical correlation functions in grand-canonical ensembles at finite charge densities (polarized ensembles). Upon ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
teoretična fizika;integrabilni modeli;theoretical physics;integrable models;
Weconstruct an integrable lattice model of classical interacting spins in discrete spacetime, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this explicit discrete symplectic integration scheme to compute the spin D ...
Leto:
2021
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
statistična mehanika;statistical mechanics;
Recent studies have found that fluctuations of magnetization transfer in integrable spin chains violate the central limit property. Here, we revisit the problem of anomalous counting statistics in the Landau-Lifshitz field theory by specializing to two distinct anomalous regimes featuring a dynamica ...
Leto:
2024
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
statistična fizika;statistical physics;
Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a dynamical universality reflected in anomalous statistical properties of macroscopic flu ...
Leto:
2024
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
neravnovesna statistična mehanika;kvantna mehanika;večdelčni sistemi;nonequilibrium statistical mechanics;quantum mechanics;many-body systems;
Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin-transport properties. Upon adjusting parameters of local unitary gates, the dynamics can be either chaotic or integrable. T ...
Leto:
2024
Vir:
Fakulteta za matematiko in fiziko (UL FMF)