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Annals of Physics, ISSN 0003-4916, 01/2019, Volume 400, pp. 21 - 36
The time evolution of a finite fermion system towards local statistical equilibrium is investigated using analytical solutions of a nonlinear partial... 
Quantum statistical mechanics | Nonequilibrium-statistical models | Nonlinear diffusion | Fermionic systems | PHYSICS, MULTIDISCIPLINARY | COLLISION TERM | Quarks | Energy conservation | Analysis | Environmental law | Differential equations
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2018, Volume 499, pp. 1 - 10
The equilibration of a finite Bose system is modeled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For... 
Exact solution of nonlinear equation | Nonlinear diffusion | Collision term for bosons | Equilibration of gluons | EINSTEIN CONDENSATION | PHYSICS, MULTIDISCIPLINARY | BOLTZMANN-EQUATION | GLUON TRANSPORT-EQUATION | COLLISION | SMALL-ANGLE APPROXIMATION | ONSET
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 12/2017, Volume 114, Issue 49, pp. E10514 - E10523
Ergodicity is a fundamental requirement for a dynamical system to reach a state of statistical equilibrium. However, in systems with several characteristic... 
Chaos | Mixed phase space | Hamiltonian systems | Fermi acceleration | Dynamical billiards | HAMILTONIAN SYSTEM | chaos | PERTURBATIONS | CHAOTIC BILLIARDS | PARTICLE | FERMI-ACCELERATION | MULTIDISCIPLINARY SCIENCES | mixed phase space | OSCILLATOR | dynamical billiards | ADIABATIC PISTON | MECHANICS | STANDARD MAP | ERGODIC PROPERTIES | Physical Sciences | PNAS Plus
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 12/2013, Volume 88, Issue 6, p. 062147
The quantum ergordic theorem for a large class of quantum systems was proved by von Neumann [Z. Phys. 57, 30 (1929)] and again by Reimann [Phys. Rev. Lett.... 
DISTRIBUTIONS | STATISTICAL-MECHANICS | STATES | THERMALIZATION | PARTICLES | THEOREM | PHYSICS, FLUIDS & PLASMAS | MODEL | PHYSICS, MATHEMATICAL
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 4/2015, Volume 2015, Issue 4, pp. 1 - 18
Journal Article
New Journal of Physics, ISSN 1367-2630, 07/2012, Volume 14, Issue 7, p. 73011
We discuss the unitary quantum dynamics of the Dicke model (spin and oscillator coupled). A suitable quasi-probability representing the quantum state turns out... 
SYSTEM | CHAOS | QUANTIZED RADIATION-FIELD | STATES | PHYSICS, MULTIDISCIPLINARY | PHASE-TRANSITION | GAS
Journal Article
Entropy, ISSN 1099-4300, 10/2017, Volume 19, Issue 10, p. 544
Journal Article
Results in Physics, ISSN 2211-3797, 06/2019, Volume 13, p. 102197
Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of... 
Kinetic equilibration | Nonlinear models | Relativistic heavy-ion collisions | Cold quantum gases | THERMALIZATION | PHYSICS, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | GLUON TRANSPORT-EQUATION | BOSE-EINSTEIN CONDENSATION | FLOW | GAS | SMALL-ANGLE APPROXIMATION | ONSET
Journal Article
The European Physical Journal D, ISSN 1434-6060, 6/2018, Volume 72, Issue 6, pp. 1 - 6
Journal Article
Journal of the Atmospheric Sciences, ISSN 0022-4928, 2014, Volume 71, Issue 5, pp. 1818 - 1842
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 03/2015, Volume 91, Issue 3
We investigate equilibration processes shortly after sudden perturbations are applied to ultracold trapped superfluids. We show the similarity of phase... 
WAVES | INSTABILITY | DARK SOLITONS | BEAMS | NONLINEAR MEDIA | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CREATION | BOSE-EINSTEIN CONDENSATE | OPTICS | PROPAGATION
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 05/2018, Volume 35, Issue 3, pp. 643 - 673
Journal Article
Nonlinearity, ISSN 0951-7715, 12/2014, Volume 27, Issue 12, pp. 3159 - 3177
We investigate the large-time asymptotics of nonlinear diffusion equations u(t) = Delta u(p) in dimension n >= 1, in the exponent interval p > n/(n + 2), when... 
Nonlinear diffusion equations | long-time behaviour of solutions | Renyi entropy | FOKKER-PLANCK EQUATION | MATHEMATICS, APPLIED | INEQUALITIES | DECAY | FILTRATION EQUATIONS | INFORMATION | PHYSICS, MATHEMATICAL | TIME ASYMPTOTICS | ASYMPTOTIC-BEHAVIOR | SOBOLEV | EVOLUTION | POROUS-MEDIUM EQUATION | Mathematics - Analysis of PDEs
Journal Article
The European Physical Journal B, ISSN 1434-6028, 4/2012, Volume 85, Issue 4, pp. 1 - 6
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 07/2011, Volume 84, Issue 1, p. 016220
We investigate decoherence in quantum systems coupled via dephasing-type interactions to an arbitrary environment with chaotic underlying classical dynamics.... 
DYNAMICS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | QUANTUM
Journal Article
The European Physical Journal D, ISSN 1434-6060, 1/2017, Volume 71, Issue 1, pp. 1 - 9
Journal Article
Journal of Physical Oceanography, ISSN 0022-3670, 02/2012, Volume 42, Issue 2, pp. 225 - 242
Two theories for the nonlinear equilibration of baroclinic waves in a two-layer fluid in a beta channel are tested by comparison with high-resolution numerical... 
Nonlinear dynamics | Ocean dynamics | Ekman pumping/transport | Baroclinic flows | Baroclinic models | Differential equations | DISSIPATION | WAVES | INSTABILITY | PLANE | OCEANOGRAPHY | 2-LAYER MODEL | SATURATION | SLOPING BOUNDARIES | BETA | Studies | Adjustment | Atmosphere | Models | Behavior | Experiments | Dynamical systems | System theory
Journal Article