31 citations · 164 across the 58 of their papers we have counts for
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Configurational States and Their Characterization in the Energy Landscape
P. D. Gujrati, F. Semerianov
Configurational states that are to be associated, according to Goldstein, with the basins in the potential energy landscape cannot be characterized by any particular basin identifi…
Stationary Metastability in an Exact Non-Mean Field Calculation for a Model without Long-Range Interactions
P. D. Gujrati
We introduce the concept of stationary metastable states (SMS's) in the presence of another more stable state. The stationary nature allows us to study SMS's by using a restricted…
Lack of Stability in the Stillinger-Weber Analysis, and a Stable Analysis of the Potential Energy Landscape
P. D. Gujrati
We examine the Stillinger-Weber analysis of the potential energy landscape for its stability and conclude that it does not provide a stable description of the system as the free en…
Complexity Thermodynamics, Equiprobability Principle, Percolation, and Goldstein's Conjectures
P. D. Gujrati
The configurational states as introduced by Goldstein represent the system's basins and are characterized by their free energies as we show here. We find that the energies…
Dimer Model for Electronic and Molecular Systems and the Intermediate Phase
F. Semerianov, P. D. Gujrati
We introduce a lattice model of dimers with directional interactions as a paradigm of molecular fluids or strongly correlated Cooper pairs in electronic systems. The model supports…
General Mechanism for a Positive Temperature Entropy Crisis in Stationary Metastable States: Thermodynamic Necessity and Confirmation by Exact calculations
P. D. Gujrati
We study stationary metastable states(SMS's)using a restricted partition function formalism. The formalism ensures that SMS free energy exists all the way to T=0, and remains stabl…
Relevance of the Inherent Structures and Related Fundamental Assumptions in the Energy Landscape
P. D. Gujrati, F. Semerianov
We carefully investigate the two fundamental assumptions in the Stillinger-Weber analysis of the inherent structures (IS's) in the energy landscape and come to conclude that they c…
Configurational Entropy and its Crisis in Metastable States: Ideal Glass Transition in a Dimer Model as a Paragidm of a Molecular Glass
F. Semerianov, P. D. Gujrati
We discuss the need for discretization to evaluate the configurational entropy in a general model. We also discuss the prescription using restricted partition function formalism to…