Swetamber Das
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View article: Phase-space contraction rate for classical mixed states
Phase-space contraction rate for classical mixed states Open
Physical systems with non-reciprocal or dissipative forces evolve according to a generalization of Liouville's equation that accounts for the expansion and contraction of phase space volume. Here, we connect geometric descriptions of these…
View article: Spectral bounds on the entropy flow rate and Lyapunov exponents in differentiable dynamical systems
Spectral bounds on the entropy flow rate and Lyapunov exponents in differentiable dynamical systems Open
Some microscopic dynamics are also macroscopically irreversible, dissipating energy and producing entropy. For many-particle systems interacting with deterministic thermostats, the rate of thermodynamic entropy dissipated to the environmen…
View article: Classical Fisher information for differentiable dynamical systems
Classical Fisher information for differentiable dynamical systems Open
Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a fo…
View article: Classical Fisher information for differentiable dynamical systems
Classical Fisher information for differentiable dynamical systems Open
Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a fo…
View article: Maximum speed of dissipation
Maximum speed of dissipation Open
We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic syst…
View article: Speed limits on deterministic chaos and dissipation
Speed limits on deterministic chaos and dissipation Open
Uncertainty in the initial conditions of dynamical systems can cause exponentially fast divergence of trajectories, a signature of deterministic chaos, or be suppressed by the dissipation of energy. Here, we derive a classical uncertainty …
View article: Density matrix formulation of dynamical systems
Density matrix formulation of dynamical systems Open
Physical systems that are dissipating, mixing, and developing turbulence also irreversibly transport statistical density. However, predicting the evolution of density from atomic and molecular scale dynamics is challenging for nonsteady, o…
View article: Speed limits on classical chaos
Speed limits on classical chaos Open
Uncertainty in the initial conditions of dynamical systems can cause exponentially fast divergence of trajectories, a signature of deterministic chaos. Here, we derive a classical uncertainty relation that sets a speed limit on the rates o…
View article: Density matrix formulation of dynamical systems
Density matrix formulation of dynamical systems Open
Physical systems that dissipate, mix and develop turbulence also irreversibly transport statistical density. In statistical physics, laws for these processes have a mathematical form and tractability that depends on whether the description…
View article: Tunability enhancement of gene regulatory motifs through competition for regulatory protein resources
Tunability enhancement of gene regulatory motifs through competition for regulatory protein resources Open
Gene regulatory networks (GRNs) orchestrate the spatiotemporal levels of gene expression, thereby regulating various cellular functions ranging from embryonic development to tissue homeostasis. Some patterns called "motifs" recurrently app…
View article: Tunability enhancement of gene regulatory motifs through competition for regulatory protein resources
Tunability enhancement of gene regulatory motifs through competition for regulatory protein resources Open
Gene regulatory networks (GRN) orchestrate the spatio-temporal levels of gene expression, thereby regulating various cellular functions ranging from embryonic development to tissue home-ostasis. Some patterns called “motifs” recurrently ap…
View article: Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map
Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map Open
Understanding stickiness and power-law behavior of Poincaré recurrence statistics is an open problem for higher-dimensional systems, in contrast to the well-understood case of systems with two degrees of freedom. We study such intermittent…
View article: Controlling synchronization in coupled area-preserving maps using stickiness
Controlling synchronization in coupled area-preserving maps using stickiness Open
Unidirectionally coupled area-preserving maps with a mixed phase space may show identical synchronization in the sticky neighborhood of the regular islands. We use this fact to devise numerical procedures to control (delay and expedite) th…
View article: Synchronization, phase slips, and coherent structures in area-preserving maps
Synchronization, phase slips, and coherent structures in area-preserving maps Open
The problem of synchronization of coupled Hamiltonian systems exhibits interesting features due to the non-uniform or mixed nature (regular and chaotic) of the phase space. We study these features by investigating the synchronization of un…