Soliton dynamics of hydrogen-bonded networks: A mechanism for proton conductivity

Compact lumps

“…Usually, topological defects are linearly stable in relativistic field theory, and the non-topological ones are unstable. The instability of the localized structures does not rule them out of physics, because we can enlarge the model and find mechanisms to stabilize the solution [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. An example of this is the case of a fermionic ball [17,19], for instance, which can appear when one considers the inclusion of charged fermions, in a way such that the fermions may be entrapped inside the collapsing solution, making it charged and stabilizing the whole structure.…”

“…They are of general interest, and can be used in soft condensed matter physics describing, for instance, charge transport in diatomic chains [10][11][12][13][14] and bright solitons in fibers [9,15], and in high energy…”

“…They are of general interest, and can be used in soft condensed matter physics describing, for instance, charge transport in diatomic chains [10][11][12][13][14] and bright solitons in fibers [9,15], and in high energy physics, for example, as seeds for the formation of structures [16][17][18][19][20], q-balls [21][22][23][24], skyrmions [25][26][27] and axions [28], as particle physics models of inflation [29] and in braneworld scenarios [30,31]. The investigation that we develop is similar to the study implemented in [32,33], but here we focus on another issue, dealing with the presence of lumplike solutions which lives in a compact space.…”

Pretransition Phenomena in Fast-Proton Conductors

“…In result the condition e I + e B = e is satisfied. In the context of this simplified model, we have the following physical interpretations for protonic kink soliton solution [15] Soliton velocity v (accelerated by dc field) modulates the height of the potential barriers. However, when v ∼ v 0 two sublattice couplings have the essential effects on the defect dynamics and will produce irregularities in the mobility properties of the soliton (charge) excitations [16].…”

Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models

“…In particular, the double sine-Gordon equation has been used as a model for low-dimensional magnetic systems (see Ref. [13] and references therein) and to describe the defect propagation in hydrogen-bonded molecular chains [14,15].…”