The non-Debye relaxation (NDR) behavior in disordered solids is characterized either by the empirical form of stretched exponential phi(t)=exp[-(t/tau)(beta)] or by the Curie-von Schweidler law j(t) proportional to t(-n). The physical meaning for the exponents beta and n is described in terms of energy processes, where the smallness of the exponent beta or n characterizes the degree of non-Debye behavior. In the frequency domain, the non-Debye behavior shows dispersion in conductivity sigma' (omega) proportional to omega(n) and permittivity loss epsilon(") (omega) proportional to omega(n-1) above loss peak frequency omega(p) and are termed as Jonscher universal power law or Jonscher universal dynamic response. In the present article, the universal dynamic response is described using a non-Debye relaxation function phi(t)=exp[-t/tau*], where tau*=tau(g)/i((1-g)) and tau* is defined as non-Debye relaxation time. Correspondingly, in the frequency domain, the dielectric response function epsilon*(omega)=epsilon(infinity)+[(epsilon(S)-epsilon(infinity))/(1+i(g )omegatau(g))] has a phase factor i(g). The physical meaning for the exponent g is described in terms of energy processes. At the dielectric loss peak frequency, the dielectric loss tan[delta(p)] which signifies the energy dissipation, attains a minimum and it is related to the exponent g. Expressions for real part of the ac conductivity sigma' (omega) is derived from the permittivity loss, epsilon(") (omega). All experimentally known features of the sigma' (omega) and epsilon(") (omega) are explained satisfactorily. The present model is used to analyze the experimental data of lithium phosphate glassy system. The results show an excellent agreement both in the conductivity and impedance representation. (C) 2004 Elsevier B.V. All rights reserved.