106 citations · 647 across the 20 of their papers we have counts for
20 papers
Structures and velocities of noisy ferroelectric domain walls
Nora Bauer, Sabine M. Neumayer, Petro Maksymovych +1
Ferroelectric domain wall motion is fundamental to the switching properties of ferroelectric devices and is influenced by a wide range of factors including spatial disorder within…
Soliton walls paired by polar surface interactions in a ferroelectric nematic liquid crystal
Bijaya Basnet, Mojtaba Rajabi, Hao Wang +5
Surface interactions are responsible for many properties of condensed matter, ranging from crystal faceting to the kinetics of phase transitions. Usually, these interactions are po…
Helfrich-Hurault elastic instabilities driven by geometrical frustration
Christophe Blanc, Guillaume Durey, Randall D. Kamien +3
The Helfrich-Hurault (HH) elastic instability is a well-known mechanism behind patterns that form as a result of strain upon liquid crystal systems with periodic ground states. In…
Microemulsions in the driven Widom-Rowlinson lattice gas
Maxim O. Lavrentovich, Ronald Dickman, R. K. P. Zia
An investigation of the two-dimensional Widom-Rowlinson lattice gas under an applied drive uncovered a remarkable non-equilibrium steady state in which uniform stripes (reminiscent…
Survival in Branching Cellular Populations
Adam S. Bryant, Maxim O. Lavrentovich
We analyze evolutionary dynamics in a confluent, branching cellular population, such as in a growing duct, vasculature, or in a branching microbial colony. We focus on the coarse-g…
Shape of population interfaces as an indicator of mutational instability in coexisting cell populations
Clarisa Castillo, Maxim O. Lavrentovich
Cellular populations such as avascular tumors and microbial biofilms may "invade" or grow into surrounding populations. The invading population is often comprised of a heterogeneou…
Undulation instabilities in cholesteric liquid crystals induced by anchoring transitions
Maxim O. Lavrentovich, Lisa Tran
Cholesteric liquid crystals (CLCs) have a characteristic length scale given by the pitch of the twisted stacking of their constituent rod-like molecules. Under homeotropic anchorin…
Nucleation of antagonistic organisms and cellular competitions on curved, inflating substrates
Maxim O. Lavrentovich, David R. Nelson
We consider the dynamics of spatially-distributed, diffusing populations of organisms with antagonistic interactions. These interactions are found on many length scales, ranging fr…
Pollen Patterns Form from Modulated Phases
Asja Radja, Eric M. Horsley, Maxim O. Lavrentovich +1
Pollen grains are known for their impressive variety of species-specific, microscale surface patterning. Despite having similar biological developmental steps, pollen grain surface…
Aspects of nucleation on curved and flat surfaces
Eric M. Horsley, Maxim O. Lavrentovich, Randall D. Kamien
We investigate the energetics of droplets sourced by the thermal fluctuations in a system undergoing a first-order transition. In particular, we confine our studies to two dimensio…
A change in stripes for cholesteric shells via anchoring in moderation
Lisa Tran, Maxim O. Lavrentovich, Guillaume Durey +7
Chirality, ubiquitous in complex biological systems, can be controlled and quantified in synthetic materials such as cholesteric liquid crystal (CLC) systems. In this work, we stud…
Period proliferation in periodic states in cyclically sheared jammed solids
Maxim O. Lavrentovich, Andrea J. Liu, Sidney R. Nagel
Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: after a relatively few shearing cycles, the system falls into a configuration that ha…
First-order patterning transitions on a sphere as a route to cell morphology
Maxim O. Lavrentovich, Eric M. Horsley, Asja Radja +2
We propose a general theory for surface patterning in many different biological systems, including mite and insect cuticles, pollen grains, fungal spores, and insect eggs. The patt…
Lassoing saddle splay and the geometrical control of topological defects
Lisa Tran, Maxim O. Lavrentovich, Daniel A. Beller +3
Systems with holes, such as colloidal handlebodies and toroidal droplets, have been studied in the nematic liquid crystal (NLC) 4-cyano-4'-pentylbiphenyl (5CB): both point and ring…
Critical Fitness Collapse in Three-Dimensional Spatial Population Genetics
Maxim O. Lavrentovich
If deleterious mutations near a fitness maximum in a spatially distributed population are sufficiently frequent or detrimental, the population can undergo a fitness collapse, simil…
Survival Probabilities at Spherical Frontiers
Maxim O. Lavrentovich, David R. Nelson
Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range ex…
Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions
Maxim O. Lavrentovich, David R. Nelson
Genetic drift at the frontiers of two-dimensional range expansions of microorganisms can frustrate local cooperation between different genetic variants, demixing the population int…
Nutrient Shielding in Clusters of Cells
Maxim O. Lavrentovich, John H. Koschwanez, David R. Nelson
Cellular nutrient consumption is influenced by both the nutrient uptake kinetics of an individual cell and the cells' spatial arrangement. Large cell clusters or colonies have inhi…
Radial Domany-Kinzel Models with Mutation and Selection
Maxim O. Lavrentovich, Kirill S. Korolev, David R. Nelson
We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new t…
Steady-state properties of coupled hot and cold Ising chains
Maxim O. Lavrentovich
Recently, the author and Zia (2010) reported on exact results for a far-from-equilibrium system in which two coupled semi-infinite Ising chains at temperatures and , wit…