arXiv subjects

Vijayakumar Chikkadi

Publications and source records attributed to Vijayakumar Chikkadi.

17 recordsLinked to original sources

arXiv2026

The Physics of Topological Defects in Glasses

Topological defects play a central role in the mechanical behavior of crystalline materials, yet their relevance to amorphous solids has only recently begun to emerge. Over the last few years, theoretical, computational, and experimental studies have revealed the presence of well-defined topological invariants in vibrational eigenmodes, non-affine displacement fields, and deformation-induced vector fields of glasses. These defects have been shown to correlate strongly with soft spots, localized plastic rearrangements, yielding, and shear-band formation, suggesting a new perspective on the microscopic origins of plasticity in disordered materials. In this review, we provide a comprehensive overview of recent developments in the rapidly growing field of topological defects in glasses. We discuss the underlying theoretical concepts, including Burgers vectors, non-affine plasticity, vibrational modes, and topological invariants, and review recent numerical and experimental advances. Finally, we assess the current achievements, limitations, and open questions, and discuss future directions toward a unified topological description of plasticity and mechanical failure in amorphous solids.

cond-mat.dis-nn↗

arXiv2025

Shear induced topological changes of local structure in dense colloidal suspensions

Understanding the structural origins of glass formation and mechanical response remains a central challenge in condensed matter physics. Recent studies have identified the local caging potential experienced by a particle due to its nearest neighbors as a robust structural metric that links microscopic structure to dynamics under thermal fluctuations and applied shear. However, its connection to locally favored structural motifs has remained unclear. Here, we analyze structural motifs in colloidal crystals and glasses and correlate them with the local caging potential. We find that icosahedral motifs in glasses are associated with deeper caging potentials than crystalline motifs such as face-centered cubic (FCC) and hexagonal close-packed (HCP) structures. Both crystalline and amorphous systems also contain large number of particles belonging to stable defective motifs, which are distortions of the regular motifs. Under shear, large clusters of defective motifs fragment into smaller ones, driving plastic deformation and the transition from a solid-like to a liquid-like state in amorphous suspensions. Particles that leave clusters of stable motifs are associated with shallower caging potentials and are more prone to plastic rearrangements, ultimately leading to motif disintegration during shear. Our results thus reveal that the loss of mechanical stability in amorphous suspensions is governed by the topological evolution of polytetrahedral motifs, uncovering a structural mechanism underlying plastic deformation and fluidization.

cond-mat.soft↗

arXiv2025

Unconventional Growth Kinetics and Fractal Interfaces of Colloidal Phase Separation in Active Liquids

Phase separation driven by nonequilibrium fluctuations is a hallmark of both living and synthetic active matter. Unlike equilibrium systems, where ordered states arise from the minimization of free energy, active systems are fueled by a constant injection of energy at the microscopic scale. The emergence of ordered phases in such driven systems challenges our conventional views of domain growth and interfacial structure. In this study, we investigate the coarsening of colloidal clusters in active liquids containing E. coli. Our experiments reveal that uniform dispersions of colloids and swimmers are inherently unstable, resulting in spontaneous phase separation characterized by fractal interfaces and unconventional kinetics. The correlation function of the order parameter displays dynamical scaling, with the size of colloidal domains initially growing as $t^{1/z}$, where $z \sim 4$, in contrast to the well-known growth laws for thermal systems with a conserved order parameter. Furthermore, the structure factor exhibits non-Porod behavior, indicating domains with fractal interfaces. This non-Porod behavior also manifests itself as a cusp singularity in the correlation function. We elucidate our experimental findings using a scalar field theory in which the nonequilibrium fluctuations arising from swimmer activity are modeled as spatio-temporally correlated noise. It quantitatively reproduces the domain growth law and non-Porod structure factor resulting from fractal interfaces observed in experiments. In addition, it also reveals a fluctuating microphase separation, where the initial growth of the domain is eventually arrested, thus shedding new light on the microscopic origins of the unconventional phase separation of colloids in active liquids.

cond-mat.soft↗

arXiv2024

Structural origin of relaxation in dense colloidal suspensions

Amorphous solids relax via slow molecular rearrangement induced by thermal fluctuations or applied stress. Although microscopic structural signatures predicting these structural relaxations have long been sought, a physically motivated structural measure relevant to diverse systems remains elusive. Here, we introduce a structural order parameter derived from the mean-field caging potential experienced by the particles due to their neighbors, which reliably predicts the occurrence of structural relaxations. The parameter, derived from density functional theory, is a measure of susceptibility to particle rearrangements that can effectively identify weak or defect-like regions in disordered systems. Using experiments on dense colloidal suspensions, we demonstrate a causal relationship between this order parameter and the structural relaxations of the amorphous solid. In quiescent suspensions, increasing the density leads to stronger correlations between the structure and dynamics. Under applied shear, the mean structural order parameter increases with increasing strain, signaling shear-induced softening, which is accompanied by the proliferation of plastic events. In both cases, the order parameter reliably identifies weak regions where the plastic rearrangements due to thermal fluctuation or applied shear preferentially occur. Our study paves the way to a structural understanding of the relaxation of a wide range of amorphous solids, from suspensions to metallic glasses.

cond-mat.soft↗

arXiv2024

Onset of slow dynamics in dense suspensions of active colloids

Slow relaxation and heterogeneous dynamics are characteristic features of glasses. The presence of glassy dynamics in nonequilibrium systems, such as active matter, is of significant interest due to its implications for living systems and material science. In this study, we use dense suspensions of self-propelled Janus particles moving on a substrate to investigate the onset of slow dynamics. Our findings show that dense active suspensions exhibit several hallmark features of slow dynamics similar to systems approaching equilibrium. The relaxation time fits well with the Vogel-Fulcher-Tamman (VFT) equation, and the system displays heterogeneous dynamics. Furthermore, increasing the activity leads to faster relaxation of the system, and the glass transition density predicted by the VFT equation shifts to higher densities. The measurement of the cage length and persistence length reveal they are of the same order over the range of activities explored in our study. These results are in agreement with recent particle simulations.

cond-mat.soft↗

arXiv2024

Percolation of nonequilibrium assemblies of colloidal particles in active chiral liquids

The growing interest in the non-equilibrium assembly of colloidal particles in active liquids is driven by the motivation to create novel structures endowed with tunable properties unattainable within the confines of equilibrium systems. Here, we present an experimental investigation of the structural features of colloidal assemblies in active liquids of chiral E. coli. The colloidal particles form dynamic clusters due to the effective interaction mediated by active media. The activity and chirality of the swimmers strongly influence the dynamics and local ordering of colloidal particles, resulting in clusters with persistent rotation, whose structure differs significantly from those in equilibrium systems with attractive interactions, such as colloid-polymer mixtures. The colloid-bacteria mixture displays several hallmark features of a percolation transition at a critical density, where the clusters span the system size. However, a closer examination of the critical exponents associated with cluster size distribution, average cluster size, and correlation length in the vicinity of the critical density suggest strong deviations from the prediction of the standard continuum percolation model. Therefore, our experiments reveal a richer phase behavior of colloidal assemblies in active liquids.

cond-mat.soft↗

arXiv2023

Microscopic strain correlations in sheared amorphous solids

We investigate spatial correlations of strain fluctuations in sheared colloidal glasses and simulations of sheared amorphous solids. The correlations reveal a quadrupolar symmetry reminiscent of the strain field due to an Eshelby's inclusion. However, they display an algebraic decay $1/r^α$, where the exponent $α$ is close to $1$ in the steady state, unlike the Eshelby field, for which $α=3$ . The exponent takes values between $3$ to $1$ in the transient stages of deformation. We explain these observations using a simple model based on interacting Eshelby inclusions. As the system is sheared beyond the linear response to plastic flow, the density correlations of inclusions are enhanced and it emerges as key to understanding the elastoplastic response of the system to applied shear.

physics.app-ph↗

arXiv2023

Phase separation of passive particles in active liquids

The transport properties of colloidal particles in active liquids have been studied extensively. It has led to a deeper understanding of the interactions between passive and active particles. However, the phase behavior of colloidal particles in active media has received little attention. Here, we present a combined experimental and numerical investigation of passive colloids dispersed in suspensions of active particles. Our study reveals dynamic clustering of colloids in active media due to an interplay of active noise and an attractive effective potential between the colloids. The size-ratio of colloidal particles to the bacteria sets the strength of the interaction. As the relative size of the colloids increases, the effective potential becomes stronger and the average size of the clusters grows. The simulations reveal a macroscopic phase separation of passive colloids at sufficiently large size-ratios. We will present the role of density fluctuations and hydrodynamic interactions in the emergence of effective interactions.

cond-mat.soft↗

arXiv2021

Optothermal pulling, trapping, and assembly of colloids using nanowire plasmons

Optical excitation of colloids can be harnessed to realize soft matter systems that are out of equilibrium. In this paper, we present our experimental studies on the dynamics of silica colloids in the vicinity of a silver nanowire propagating surface plasmon polaritons (SPPs). Due to the optothermal interaction, the colloids are directionally pulled towards the excitation point of the nanowire. Having reached this point, they are spatio-temporally trapped around the excitation location. By increasing the concentration of colloids in the system, we observe multi-particle assembly around the nanowire. This process is thermophoretically driven and assisted by SPPs. Furthermore, we find such an assembly to be sensitive to the excitation polarization at input of the nanowire. Numerically-simulated temperature distribution around an illuminated nanowire corroborates sensitivity to the excitation polarization. Our study will find relevance in exploration of SPPs-assisted optothermal pulling, trapping and assembly of colloids, and can serve as test-beds of plasmon-driven active matter.

cond-mat.soft↗

arXiv2019

Modelling of strain fields in sheared colloidal glasses using Eshelby inclusions

When amorphous solids are strained they display elastic deformation at small strain, however, beyond a critical strain they yield and begin to flow plastically. The origin of this plasticity lies in the irreversible rearrangement of particles. Such rearrangements have been shown to give rise to a long-ranged quadrupolar strain field, similar to Eshebly's spherical inclusions. However, their spatio-temporal organisation at finite temperatures and finite shear rate remains unclear. Here, we have investigated the strain field in sheared colloidal glasses. We show that the strain field in homogeneous flows can be modelled using a distribution of Eshelby inclusions. In particular, we show that the non-trivial decay of spatial strain correlations in sheared colloidal glasses is a result of elastic interactions between plastic rearrangements that form at spatially correlated locations.

cond-mat.soft↗

arXiv2017

Diffusion, subdiffusion and localisation of active colloids in random post lattices

Combining experiments and theory, we address the dynamics of self-propelled particles in crowded environments. We first demonstrate that motile colloids cruising at constant speed through random lattices undergo a smooth transition from diffusive, to subdiffusive, to localized dynamics upon increasing the obstacle density. We then elucidate the nature of these transitions by performing extensive simulations constructed from a detailed analysis of the colloid-obstacle interactions. We evidence that repulsion at a distance and hard-core interactions both contribute to slowing down the long-time diffusion of the colloids. In contrast, the localization transition stems solely from excluded-volume interactions and occurs at the void-percolation threshold. Within this critical scenario, equivalent to that of the random Lorentz gas, genuine asymptotic subdiffusion is found only at the critical density where the motile particles explore a fractal maze.

cond-mat.soft↗

arXiv2017

Direct observation of percolation in the yielding transition of colloidal glasses

When strained beyond the linear regime, soft colloidal glasses yield to steady-state plastic flow in a way that is similar to the deformation of conventional amorphous solids. Due to the much larger size of the colloidal particles with respect to the atoms comprising an amorphous solid, colloidal glasses allow to obtain microscopic insight into the nature of the yielding transition, as we illustrate here combining experiments, atomistic simulations, and mesoscopic modeling. Our results unanimously show growing clusters of non-affine deformation percolating at yielding. In agreement with percolation theory, the spanning cluster is fractal with a fractal dimension d_f~2, and the correlation length diverges upon approaching the critical yield strain. These results indicate that percolation of highly non-affine particles is the hallmark of the yielding transition in disordered glassy systems.

cond-mat.soft↗

arXiv2015

Emergent vortices in populations of colloidal rollers

Coherent vortical motion has been reported in a wide variety of populations including living organisms (bacteria, fishes, human crowds) and synthetic active matter (shaken grains, mixtures of biopolymers), yet a unified description of the formation and structure of this pattern remains lacking. Here we report the self-organization of motile colloids into a macroscopic steadily rotating vortex. Combining physical experiments and numerical simulations, we elucidate this collective behavior. We demonstrate that the emergent-vortex structure lives on the verge of a phase separation, and single out the very constituents responsible for this state of polar active matter. Building on this observation, we establish a continuum theory and lay out a strong foundation for the description of vortical collective motion in a broad class of motile populations constrained by geometrical boundaries.

cond-mat.soft↗

arXiv2013

Percolating Plastic Failure as a Mechanism for Shear Softening in Amorphous Solids

``Shear softening" refers to the observed reduction in shear modulus when the stress on an amorphous solid is increased beyond the initial linear region. Careful numerical quasi-static simulations reveal an intimate relation between plastic failure and shear softening. The attaintment of the steady-state value of the shear modulus associated with plastic flow is identified with a percolation of the regions that underwent a plastic event. We present an elementary ``two-state" model that interpolates between failed and virgin regions and provides a simple and effective characterization of the shear softening.

cond-mat.soft↗

arXiv2011

Long-range strain correlations in sheared colloidal glasses

Glasses behave as solids on experimental time scales due to their slow relaxation. Growing dynamic length scales due to cooperative motion of particles are believed to be central to this slow response. For quiescent glasses, however, the size of the cooperatively rearranging regions has never been observed to exceed a few particle diameters, and the observation of long-range correlations that are signatures of an elastic solid has remained elusive. Here, we provide direct experimental evidence of long-range correlations during the deformation of a dense colloidal glass. By imposing an external stress, we force structural rearrangements that make the glass flow, and we identify long-range correlations in the fluctuations of microscopic strain, and elucidate their scaling and spatial symmetry. The applied shear induces a transition from homogeneous to inhomogeneous flow at a critical shear rate, and we investigate the role of strain correlations in this transition.

cond-mat.soft↗

arXiv2011

Connecting Structural Relaxation with the Low Frequency Modes in a Hard-Sphere Colloidal Glass

Structural relaxation in hard-sphere colloidal glasses has been studied using confocal microscopy. The motion of individual particles is followed over long time scales to detect the rearranging regions in the system. We have used normal mode analysis to understand the origin of the rearranging regions. The low frequency modes, obtained over short time scales, show strong spatial correlation with the rearrangements that happen on long time scales.

cond-mat.soft↗

arXiv2005

Preventing transition to turbulence: a viscosity stratification does not always help

In channel flows a step on the route to turbulence is the formation of streaks, often due to algebraic growth of disturbances. While a variation of viscosity in the gradient direction often plays a large role in laminar-turbulent transition in shear flows, we show that it has, surprisingly, little effect on the algebraic growth. Non-uniform viscosity therefore may not always work as a flow-control strategy for maintaining the flow as laminar.

physics.flu-dyn↗