49 citations · 138 across the 11 of their papers we have counts for
11 papers
Finite strain homogenization of periodic rod networks with application to semi-flexible biopolymers
Vinayak, Prashant K. Purohit, Ajeet Kumar
In this work, we adopt a finite strain computational homogenization approach to characterize the response of semi-flexible biopolymer networks modeled as idealized 8- and 14-chain…
Homogenization of one-dimensional periodic rod networks as special Cosserat rods
Vinayak, Ajeet Kumar
One-dimensional periodic rod networks are the structures that are obtained by periodically assembling its microstructural unit, a network of rods itself, in just one direction. In…
Parametric Number Covariance in Quantum Chaotic Spectra
Vinayak, Sandeep Kumar, Akhilesh Pandey
We study spectral parametric correlations in quantum chaotic systems and introduce the number covariance as a measure of such correlations. We derive analytic results for the class…
Spectral density of the non-central correlated Wishart ensembles
Vinayak
Wishart ensembles of random matrix theory have been useful in modeling positive definite matrices encountered in classical and quantum chaotic systems. We consider nonzero means fo…
Spectral Domain of Large Nonsymmetric Correlated Wishart Matrices
Vinayak, Luis Benet
We study {the} complex eigenvalues of the Wishart model defined for nonsymmetric correlation matrices. The model is defined for two statistically equivalent but different Gaussian…
Spectral analysis of finite-time correlation matrices near equilibrium phase transitions
Vinayak, T. Prosen, B. Buca +1
We study spectral densities for systems on lattices, which, at a phase transition display, power-law spatial correlations. Constructing the spatial correlation matrix we prove that…
Time series, correlation matrices and random matrix models
Vinayak, Thomas H. Seligman
In this set of five lectures the authors have presented techniques to analyze open classical and quantum systems using correlation matrices. For diverse reasons we shall see that r…
Spectral density of a Wishart model for nonsymmetric Correlation Matrices
Vinayak
The Wishart model for real symmetric correlation matrices is defined as , where matrix is usually a rectangular Gaussian random matrix and…
Emerging spectra of singular correlation matrices under small power-map deformations
Vinayak, Rudi Schäfer, Thomas H. Seligman
Correlation matrices are a standard tool in the analysis of the time evolution of complex systems in general and financial markets in particular. Yet most analysis assume stationar…
Statistics of Resonances in a One-Dimensional Chain: a Weak Disorder Limit
Vinayak
We study statistics of resonances in a one-dimensional disordered chain coupled to an outer world simulated by a perfect lead. We consider a limiting case for weak disorder and der…
Subsystem dynamics under random Hamiltonian evolution
Vinayak, Marko Znidaric
We study time evolution of a subsystem's density matrix under unitary evolution, generated by a sufficiently complex, say quantum chaotic, Hamiltonian, modeled by a random matrix.…