Polymers critical point originates Brownian non-Gaussian diffusion

Brownian non-Gaussian polymer diffusion and queuing theory in the mean-field limit

“…where μ c is the (model-dependent) connective constant and z c = μ −1 c . The universal entropic exponent γ is specified by the space dimension d, by the underlying topology of the polymeric structure, and by the equilibrium phase: good, Θ-, or bad solvent (see, e.g., [37] and references therein). The critical point z = z c separates the dilute phase, characterized by a finite average size E[N], from the dense one in which the average size diverges.…”

“…Because of specificities of the mean-field limit we prefer this change of variable with respect to the one adopted in[37].…”

Motion of an active particle with dynamical disorder

“…35,54 Apart from the Brownian dynamics, applications of the switching model in describing several biochemical processes such as cellular signalling, chemotaxis, synaptic dynamics, growth of cell population, and pattern formation are noteworthy in relation to the present topic. [55][56][57][58][59] In addition to the AYB diffusion of Brownian particles, stochasticity in diffusivity naturally arises in the dynamics of macromolecules such as conformational fluctuations of proteins 60,61 and the motion of the center of mass of (de)polymerising or shapeshifting molecules. 61,62 The non-Gaussian behavior can also be observed for sub-diffusing particles moving in gels or viscoelastic media such as the cytoplasmic environment due to heterogeneity.…”

“…[55][56][57][58][59] In addition to the AYB diffusion of Brownian particles, stochasticity in diffusivity naturally arises in the dynamics of macromolecules such as conformational fluctuations of proteins 60,61 and the motion of the center of mass of (de)polymerising or shapeshifting molecules. 61,62 The non-Gaussian behavior can also be observed for sub-diffusing particles moving in gels or viscoelastic media such as the cytoplasmic environment due to heterogeneity. [63][64][65][66] See the theoretical work of ref.…”

Generalized Langevin equation with fluctuating diffusivity

“…In contrast, the random diffusivity is usually generated either by dynamics of internal modes of the tagged particle or by heterogeneity of the medium. For example, center-of-mass motions of several polymer models show the fluctuating diffusivity due to dynamics of internal modes [15][16][17][18]. As an example of the heterogeneity, diffusion on random potentials also gives rise to the random diffusivity [19,20].…”