Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
نویسندگان
چکیده
منابع مشابه
Two-Dimensional Ising Model with Competing Interactions as a Model for Interacting π-Rings
We investigate the Ising model on a square lattice with antiferromagnetic exchange between nearest and next-nearest neighbors and show that at low temperatures stripe-like and droplet-like superstructures appear. We show that the competing interactions introduce a strong frustration that could plausibly describe the systems with dipole–dipole type interactions and pay particular attention to ar...
متن کاملNon-equilibrium relaxation and interface energy of the Ising model
From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent z is estimated to be 2.165 ± 0.010 for this model. The relaxation in the ordered phase of this model is consistent with exp(− √ t/τ ) behavior. The interface energy of the threedimensional Ising model is studied and the critical exponent of the correlation length ν and the crit...
متن کاملThe Turing Instability as an Example of Non Equilibrium Symmetry Breaking
The Turing instability has now been established as a canonical mechanism of stationary pattern formation both theoretically as well as experimentally. In this brief article the basic theory of this instability will be sketched, with special emphasis on the characteristics it has in common with symmetry breaking in equilibrium systems. A very brief introduction to some experimental and numerical...
متن کاملThermal Fluctuations in Non-Equilibrium Thermodynamics
Thermal fluctuations in fluids and fluid mixtures in stationary nonequilibrium states are spatially long ranged. This long-ranged nature of the non-equilibrium fluctuations is caused by a coupling between hydrodynamic modes through the non-equilibrium fluxes or gradients. The phenomena are discussed with some illustrative examples in fluids and fluid mixtures.
متن کاملTuring instability and pattern formation in a two-population neuronal network model
A two-population firing-rate model describing the dynamics of excitatory and inhibitory neural activity in one spatial dimension is investigated with respect to formation of patterns, in particular stationary periodic patterns and spatiotemporal oscillations. Conditions for existence of spatially homogeneous equilibrium states are first determined, and the stability properties of these equilibr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2018
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-018-2206-7