Phase-Space Geometry of Mass-Conserving Reaction-Diffusion Dynamics
نویسندگان
چکیده
منابع مشابه
Mass effects and internal space geometry in triatomic reaction dynamics
The effect of the distribution of mass in triatomic reaction dynamics is analyzed using the geometry of the associated internal space. Atomic masses are appropriately incorporated into internal coordinates as well as the associated non-Euclidean internal space metric tensor after a separation of the rotational degrees of freedom. Because of the non-Euclidean nature of the metric in the internal...
متن کاملDynamics as Shadow of Phase Space Geometry
Starting with the generally well accepted opinion that quantizing an arbitrary Hamiltonian system involves picking out some additional structure on the classical phase space (the shadow of quantummechanics in the classical theory), we describe classical as well as quantum dynamics as a purely geometrical effect by introducing a phase space metric structure. This produces an O(h̄) modification of...
متن کاملPhase space geometry and slow dynamics Jorge
We describe a non-Arrhenius mechanism for slowing down of dynamics that is inherent to the high dimensionality of the phase space. We show that such a mechanism is at work both in a family of mean-field spin-glass models without any domain structure and in the case of ferromagnetic domain growth. The marginality of spin-glass dynamics, as well as the existence of a ‘quasi equilibrium regime’ ca...
متن کاملReaction diffusion modeling of calcium dynamics with realistic ER geometry.
We describe a finite-element model of mast cell calcium dynamics that incorporates the endoplasmic reticulum's complex geometry. The model is built upon a three-dimensional reconstruction of the endoplasmic reticulum (ER) from an electron tomographic tilt series. Tetrahedral meshes provide volumetric representations of the ER lumen, ER membrane, cytoplasm, and plasma membrane. The reaction-diff...
متن کاملSimulated Evolution of Mass Conserving Reaction Networks
With the rise of systems biology, the systematic analysis and construction of behavioral mechanisms in both natural and artificial biochemical networks has become a vital part of understanding and predicting the inner workings of intracellular signaling networks. As a modeling platform, artificial chemistries are commonly adopted to study and construct artificial reaction network motifs that ex...
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: Physical Review X
سال: 2020
ISSN: 2160-3308
DOI: 10.1103/physrevx.10.041036