Analysis of the photo-thermal excitation in a semiconducting medium under the purview of DPL theory involving non-local effect
Dual phase lag heat conduction; Non-local effect; Normal mode analysis; Photo thermal waves
Non-local theory comprises a unique characteristics by analyzing the effects of all points of the body on a single point of the material. The present study enlightens the propagation of photo-thermal waves in a semiconductor by adopting the two phase lag theory of thermoelasticity in the frame of non-local effect. Normal mode analysis has been employed to obtain the exact expressions of the field quantities such as temperature, components of the displacement, carrier density, and components of the stress. Each field quantity is found to be influenced by the non-local parameter as well as phase lags. Quantitative results are determined in the time-domain by adopting a suitable technique of Laplace transform inversion which exhibit the influence of the non-locality effect on the distributions of field variables. Significant differences have been attributable to the studied fields due to the non-locality effect. Also, computational results are compared with the corresponding results obtained by using single phase lag theory proposed by Lord and Shulman (LS model)LS model single phase lag model (LS model). 2022, Springer Nature B.V.
Springer Science and Business Media B.V.
Kumar R., Department of Mathematics, Central University of South Bihar, Fatehpur, 824236, India; Tiwari R., Department of Mathematics, Nitishwar College, A Constituent Unit of Babasaheb Bhimrao Ambedkar Bihar University, Muzaffarpur, 842002, India; Singhal A., Department of Computational Sciences, Delhi NCR Campus, Christ (Deemed to be University), UP, Ghaziabad, 201003, India